Supersymmetry and noncommutative geometry:
In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a co...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham ; Heidelberg ; New York ; Dordrecht ; London
Springer
[2016]
|
| Ausgabe: | 1st ed. 2016 |
| Schriftenreihe: | SpringerBriefs in Mathematical Physics
9 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic 'building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories |
| Beschreibung: | x, 137 Seiten Diagramme |
| ISBN: | 9783319247960 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV043474929 | ||
| 003 | DE-604 | ||
| 005 | 20170804 | ||
| 007 | t | ||
| 008 | 160322s2016 |||| |||| 00||| eng d | ||
| 020 | |a 9783319247960 |9 978-3-319-24796-0 | ||
| 035 | |a (OCoLC)951460946 | ||
| 035 | |a (DE-599)BVBBV043474929 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-91G | ||
| 082 | 0 | |a 539.725 | |
| 084 | |a UO 1560 |0 (DE-625)146206: |2 rvk | ||
| 084 | |a PHY 418f |2 stub | ||
| 084 | |a PHY 411f |2 stub | ||
| 100 | 1 | |a Beenakker, Wim |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Supersymmetry and noncommutative geometry |c Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom |
| 250 | |a 1st ed. 2016 | ||
| 264 | 1 | |a Cham ; Heidelberg ; New York ; Dordrecht ; London |b Springer |c [2016] | |
| 264 | 4 | |c © 2016 | |
| 300 | |a x, 137 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a SpringerBriefs in Mathematical Physics |v 9 | |
| 520 | 1 | |a In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic 'building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories | |
| 650 | 0 | 7 | |a Supersymmetrie |0 (DE-588)4128574-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtkommutative Geometrie |0 (DE-588)4171742-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Supersymmetrie |0 (DE-588)4128574-8 |D s |
| 689 | 0 | 1 | |a Nichtkommutative Geometrie |0 (DE-588)4171742-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a van den Broek, Thijs |4 aut | |
| 700 | 1 | |a Suijlekom, Walter D. van |4 aut | |
| 700 | 1 | |a Broek, Thijs van den |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-319-24798-4 |
| 830 | 0 | |a SpringerBriefs in Mathematical Physics |v 9 |w (DE-604)BV042059129 |9 9 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028891834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028891834 | ||
Datensatz im Suchindex
| _version_ | 1804176094685822976 |
|---|---|
| adam_text | Contents
1 Introduction......................................................... 1
1.1 Supersymmetry............................................... 1
1.1.1 The Supersymmetric Version of the Standard Model..... 4
1.2 Noncommutative Geometry......................................... 5
1.2.1 Spectral Triples......................................... 6
1.2.2 Gauge Fields and the Action Functional.................. 10
1.2.3 The Noncommutative Standard Model (NCSM)................ 13
1.2.4 Finite Spectral Triples and Krajewski Diagrams.......... 15
References.......................................................... 20
2 Supersymmetric Almost-Commutative Geometries........................ 23
2.1 Noncommutative Geometry and R-Parity........................... 23
2.2 Supersymmetric Spectral Triples................................ 24
2.2.1 First Building Block: The Adjoint Representation........ 25
2.2.2 Second Building Block: Adding Non-adjoint
Representations......................................... 29
2.2.3 Third Building Block: Extra Interactions................ 46
2.2.4 Higher Degree Building Blocks?.......................... 57
2.2.5 Mass Terms........................................... 58
2.3 Conditions for a Supersymmetric Spectral Action................ 67
2.3.1 Applied to a Single Building Block of the Third Type ... 73
2.4 Summary and Conclusions........................................ 76
References......................................................... 105
3 Supersymmetry Breaking............................................. 107
3.1 Soft Supersymmetry Breaking................................... 107
3.2 Soft Supersymmetry Breaking Terms from
the Spectral Action........................................... 108
3.2.1 Scalar Masses (E.g. Higgs Masses)..................... 109
3.2.2 Gaugino Masses......................................... 110
3.2.3 Linear Couplings....................................... 112
3.2.4 Bilinear Couplings..................................... 113
IX
X
Contents
3.2.5 Trilinear Couplings.................................... Í14
3.3 Summary and Conclusions....................................... 116
References.......................................................... 117
4 The Noncommutative Supersymmetric Standard Model.................... 119
4.1 Obstructions for a Supersymmetric Theory...................... 119
4.2 The Building Blocks of the MSSM............................... 120
4.3 Identification of Particles and Spanieles..................... 126
4.3.1 The Gauge Group and Hypercharges....................... 126
4.3.2 Unimodularity in the MSSM.............................. 128
4.4 Supersymmetry of the Action................................... 132
4.5 Summary and Conclusions....................................... 136
References.......................................................... 137
|
| any_adam_object | 1 |
| author | Beenakker, Wim van den Broek, Thijs Suijlekom, Walter D. van |
| author_facet | Beenakker, Wim van den Broek, Thijs Suijlekom, Walter D. van |
| author_role | aut aut aut |
| author_sort | Beenakker, Wim |
| author_variant | w b wb d b t v dbt dbtv w d v s wdv wdvs |
| building | Verbundindex |
| bvnumber | BV043474929 |
| classification_rvk | UO 1560 |
| classification_tum | PHY 418f PHY 411f |
| ctrlnum | (OCoLC)951460946 (DE-599)BVBBV043474929 |
| dewey-full | 539.725 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.725 |
| dewey-search | 539.725 |
| dewey-sort | 3539.725 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1st ed. 2016 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03092nam a2200481 cb4500</leader><controlfield tag="001">BV043474929</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170804 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">160322s2016 |||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319247960</subfield><subfield code="9">978-3-319-24796-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)951460946</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043474929</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">539.725</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UO 1560</subfield><subfield code="0">(DE-625)146206:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 418f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 411f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Beenakker, Wim</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Supersymmetry and noncommutative geometry</subfield><subfield code="c">Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1st ed. 2016</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham ; Heidelberg ; New York ; Dordrecht ; London</subfield><subfield code="b">Springer</subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">x, 137 Seiten</subfield><subfield code="b">Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">SpringerBriefs in Mathematical Physics</subfield><subfield code="v">9</subfield></datafield><datafield tag="520" ind1="1" ind2=" "><subfield code="a">In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic 'building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Supersymmetrie</subfield><subfield code="0">(DE-588)4128574-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtkommutative Geometrie</subfield><subfield code="0">(DE-588)4171742-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Supersymmetrie</subfield><subfield code="0">(DE-588)4128574-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Nichtkommutative Geometrie</subfield><subfield code="0">(DE-588)4171742-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">van den Broek, Thijs</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Suijlekom, Walter D. van</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Broek, Thijs van den</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-319-24798-4</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">SpringerBriefs in Mathematical Physics</subfield><subfield code="v">9</subfield><subfield code="w">(DE-604)BV042059129</subfield><subfield code="9">9</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028891834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028891834</subfield></datafield></record></collection> |
| id | DE-604.BV043474929 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:26:43Z |
| institution | BVB |
| isbn | 9783319247960 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028891834 |
| oclc_num | 951460946 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-91G DE-BY-TUM |
| physical | x, 137 Seiten Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Springer |
| record_format | marc |
| series | SpringerBriefs in Mathematical Physics |
| series2 | SpringerBriefs in Mathematical Physics |
| spelling | Beenakker, Wim Verfasser aut Supersymmetry and noncommutative geometry Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom 1st ed. 2016 Cham ; Heidelberg ; New York ; Dordrecht ; London Springer [2016] © 2016 x, 137 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier SpringerBriefs in Mathematical Physics 9 In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed. Noncommutative geometry has seen remarkable applications in high energy physics, viz. the geometrical interpretation of the Standard Model, however such a question has not been answered in a conclusive way so far. The book starts with a systematic analysis of the possibilities for so-called almost-commutative geometries on a 4-dimensional, flat background to exhibit not only a particle content that is eligible for supersymmetry, but also have a supersymmetric action. An approach is proposed in which the basic 'building blocks' of potentially supersymmetric theories and the demands for their action to be supersymmetric are identified. It is then described how a novel kind of soft supersymmetry breaking Lagrangian arises naturally from the spectral action. Finally, the above formalism is applied to explore the existence of a noncommutative version of the minimal supersymmetric Standard Model. This book is intended for mathematical/theoretical physicists with an interest in the applications of noncommutative geometry to supersymmetric field theories Supersymmetrie (DE-588)4128574-8 gnd rswk-swf Nichtkommutative Geometrie (DE-588)4171742-9 gnd rswk-swf Supersymmetrie (DE-588)4128574-8 s Nichtkommutative Geometrie (DE-588)4171742-9 s DE-604 van den Broek, Thijs aut Suijlekom, Walter D. van aut Broek, Thijs van den Sonstige oth Erscheint auch als Online-Ausgabe 978-3-319-24798-4 SpringerBriefs in Mathematical Physics 9 (DE-604)BV042059129 9 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028891834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Beenakker, Wim van den Broek, Thijs Suijlekom, Walter D. van Supersymmetry and noncommutative geometry SpringerBriefs in Mathematical Physics Supersymmetrie (DE-588)4128574-8 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd |
| subject_GND | (DE-588)4128574-8 (DE-588)4171742-9 |
| title | Supersymmetry and noncommutative geometry |
| title_auth | Supersymmetry and noncommutative geometry |
| title_exact_search | Supersymmetry and noncommutative geometry |
| title_full | Supersymmetry and noncommutative geometry Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom |
| title_fullStr | Supersymmetry and noncommutative geometry Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom |
| title_full_unstemmed | Supersymmetry and noncommutative geometry Wim Beenakker, Thijs van den Broek, Walter D. van Suijlekom |
| title_short | Supersymmetry and noncommutative geometry |
| title_sort | supersymmetry and noncommutative geometry |
| topic | Supersymmetrie (DE-588)4128574-8 gnd Nichtkommutative Geometrie (DE-588)4171742-9 gnd |
| topic_facet | Supersymmetrie Nichtkommutative Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028891834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV042059129 |
| work_keys_str_mv | AT beenakkerwim supersymmetryandnoncommutativegeometry AT vandenbroekthijs supersymmetryandnoncommutativegeometry AT suijlekomwalterdvan supersymmetryandnoncommutativegeometry AT broekthijsvanden supersymmetryandnoncommutativegeometry |