Fusion algebras and characters of rational conformal field theories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
1995
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Bonn, Univ., Diss., 1995 |
| Beschreibung: | 86 S. |
Internformat
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| 100 | 1 | |a Eholzer, Wolfgang |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fusion algebras and characters of rational conformal field theories |c vorgelegt von Wolfgang Eholzer |
| 264 | 1 | |c 1995 | |
| 300 | |a 86 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Bonn, Univ., Diss., 1995 | ||
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS
1. INTRODUCTION 3
2. RATIONAL CONFORMAL FIELD THEORIES AND FUSION ALGEBRAS 8
2.1 VERTEX OPERATOR ALGEBRAS, W-ALGEBRAS AND RATIONAL MODELS 8
2.2 DEFINITION OF FUSION ALGEBRAS 19
2.3 SOME SIMPLE PROPERTIES OF MODULAR FUSION ALGEBRAS 22
3. ON THE CLASSIFICATION OF MODULAR FUSION ALGEBRAS 24
3.1 RESULTS ON THE CLASSIFICATION OF STRONGLY-MODULAR FUSION
ALGEBRAS 24
3.2 REALIZATION OF STRONGLY-MODULAR FUSION ALGEBRAS IN RCFTS
AND DATA OF CERTAIN RATIONAL MODELS 25
3.3 SOME THEOREMS ON LEVEL
N REPRESENTATIONS OF SL(2, Z) 28
3.4 WEIL REPRESENTATIONS ASSOCIATED TO BINARY QUADRATIC FORMS 30
3.5 THE IRREDUCIBLE REPRESENTATIONS OF SL(2,ZPX) FOR P ^ 2 33
3.6 THE IRREDUCIBLE REPRESENTATIONS OF SL(2, Z2X) 34
3.7 PROOF OF THE CLASSIFICATION OF THE STRONGLY-MODULAR FUSION
ALGEBRAS OF DIMENSION LESS THAN OR EQUAL TO FOUR 37
3.8 PROOF OF A LEMMA ON DIOPHANTIC EQUATIONS 45
3.9 PROOF OF THE CLASSIFICATION OF THE NONDEGENERATE STRONGLY-
MODULAR FUSION ALGEBRAS OF DIMENSION LESS THAN 24 46
4. UNIQUENESS OF CONFORMAL CHARACTERS 48
4.1 RESULTS ON THE UNIQUENESS OF CONFORMAL CHARACTERS OF CER
TAIN RATIONAL MODELS 48
4.2 A DIMENSION FORMULA FOR VECTOR VALUED MODULAR FORMS 50
4.3 THREE BASIC LEMMAS ON REPRESENTATIONS OF SL(2,Z) 52
4.4 PROOF OF THE THEOREM ON THE UNIQUENESS OF CONFORMAL CHAR
ACTERS OF CERTAIN RATIONAL MODELS 53
5. CONSTRUCTION OF CONFORMAL CHARACTERS 59
5.1 THE GENERAL CONSTRUCTION: REALIZATION OF MODULAR REPRE
SENTATIONS BY THETA SERIES 59
5.2 AN EXAMPLE (I): THETA SERIES ASSOCIATED TO QUATERNION AL
GEBRAS AND CERTAIN CONFORMAL CHARACTERS 62
5.3 AN EXAMPLE (II): COMPARISON TO FORMULAS DERIVABLE FROM
THE REPRESENTATION THEORY OF CASIMIR W-ALGEBRAS 67
6. CONCLUSION AND OUTLOOK 69
7. APPENDIX 72
7.1 THE IRREDUCIBLE LEVEL
PX REPRESENTATIONS OF DIMENSION 4 72
7.2 THE STRONGLY-MODULAR FUSION ALGEBRAS OF DIMENSION 4 76
7.3 THE STRONGLY-MODULAR FUSION ALGEBRAS OF DIMENSION LESS
THAN 24: REPRESENTATIONS, FUSION MATRICES AND GRAPHS 78
7.4 MINIMAL MODELS OF CASIMIR W-ALGEBRAS 81
REFERENCES 62
TYPESET BY
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/945146299 |
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| language | English |
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| spelling | Eholzer, Wolfgang Verfasser aut Fusion algebras and characters of rational conformal field theories vorgelegt von Wolfgang Eholzer 1995 86 S. txt rdacontent n rdamedia nc rdacarrier Bonn, Univ., Diss., 1995 Charakter Gruppentheorie (DE-588)4158438-7 gnd rswk-swf W-Algebra (DE-588)4355406-4 gnd rswk-swf Konforme Feldtheorie (DE-588)4312574-8 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Zweidimensionale konforme Feldtheorie (DE-588)4283668-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Zweidimensionale konforme Feldtheorie (DE-588)4283668-2 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Konforme Feldtheorie (DE-588)4312574-8 s Charakter Gruppentheorie (DE-588)4158438-7 s W-Algebra (DE-588)4355406-4 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006879124&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eholzer, Wolfgang Fusion algebras and characters of rational conformal field theories Charakter Gruppentheorie (DE-588)4158438-7 gnd W-Algebra (DE-588)4355406-4 gnd Konforme Feldtheorie (DE-588)4312574-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Zweidimensionale konforme Feldtheorie (DE-588)4283668-2 gnd |
| subject_GND | (DE-588)4158438-7 (DE-588)4355406-4 (DE-588)4312574-8 (DE-588)4148816-7 (DE-588)4283668-2 (DE-588)4113937-9 |
| title | Fusion algebras and characters of rational conformal field theories |
| title_auth | Fusion algebras and characters of rational conformal field theories |
| title_exact_search | Fusion algebras and characters of rational conformal field theories |
| title_full | Fusion algebras and characters of rational conformal field theories vorgelegt von Wolfgang Eholzer |
| title_fullStr | Fusion algebras and characters of rational conformal field theories vorgelegt von Wolfgang Eholzer |
| title_full_unstemmed | Fusion algebras and characters of rational conformal field theories vorgelegt von Wolfgang Eholzer |
| title_short | Fusion algebras and characters of rational conformal field theories |
| title_sort | fusion algebras and characters of rational conformal field theories |
| topic | Charakter Gruppentheorie (DE-588)4158438-7 gnd W-Algebra (DE-588)4355406-4 gnd Konforme Feldtheorie (DE-588)4312574-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Zweidimensionale konforme Feldtheorie (DE-588)4283668-2 gnd |
| topic_facet | Charakter Gruppentheorie W-Algebra Konforme Feldtheorie Darstellungstheorie Zweidimensionale konforme Feldtheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006879124&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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