D-branes on Calabi-Yau spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English German |
| Published: |
2001
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | München, Univ., Fak. für Physik, Diss., 2001 |
| Physical Description: | VIII, 186 S. graph. Darst. |
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| 100 | 1 | |a Scheidegger, Emanuel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a D-branes on Calabi-Yau spaces |c von Emanuel Scheidegger |
| 264 | 1 | |c 2001 | |
| 300 | |a VIII, 186 S. |b graph. Darst. | ||
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| 500 | |a München, Univ., Fak. für Physik, Diss., 2001 | ||
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| adam_text |
CONTENTS
V
1. INTRODUCTION 1
2.
AF
= (2,2) SUPERCONFORMAL FIELD THEORIES 5
2.1. GENERAL FACTS. 5
2.2. EXAMPLES. 9
2.3. SUPERSTRING COMPACTIFICATIONS. 15
2.4. GEPNER MODELS. 16
2.5. GAUGED LINEAR CR-MODEL. 21
2.6. MODULI SPACES OF A
F =
(2,2) SUPERCONFORMAL FIELD THEORIES AND MIRROR SYMMETRY . 25
2.7. WITTEN INDEX.-R-,. 29
3. CALABI-YAU SPACES 31
3.1. GENERAL PROPERTIES OF CALABI-YAU SPACES. 31
3.2. CALABI-YAU SPACES AS HYPERSURFACES IN TORIC VARIETIES. 32
3.2.1. GENERAL FACTS ABOUT TORIC VARIETIES AND DUAL POLYHEDRA. 32
3.2.2. CALABI-YAU HYPERSURFACES IN WEIGHTED PROJECTIVE SPACES. 34
3.3. DIVISORS AND CURVES IN CALABI-YAU SPACES. 35
3.3.1. THE MORI CONE AND THE INTERSECTION RING. 36
3.3.2. CLASSIFICATION OF ALGEBRAIC SURFACES AND SOME OF THEIR
PROPERTIES. 39
3.3.3. SINGULARITIES AND THEIR RESOLUTIONS. 41
3.3.4. FIBRATIONS. 42
3.4. SPECIAL GEOMETRY. 44
3.4.1. PERIODS . 45
3.4.2. THE PREPOTENTIAL. 47
3.5. SPECIFIC EXAMPLES. 49
3.5.1. THE ONE-PARAMETER FAMILIES. 51
3.5.2. THE FAMILY
PI)I)2,2,6[12] . !. 51
3.6. NESTED MODULI SPACES. 55
4. BOUNDARY CONFORMAL FIELD THEORIES 59
4.1. GENERALITIES AND DEFINITIONS. 59
4.2. BOUNDARY STATES IN
N
= (2,2) SUPERCONFORMAL FIELD THEORIES. 61
4.3. BOUNDARY STATES IN GEPNER MODELS.*. 62
4.3.1. WITTEN INDEX IN GEPNER MODELS. 64
4.3.2. NUMBER OF MODULI OF BOUNDARY STATES IN GEPNER MODELS. 67
4.3.3. TWISTED BOUNDARY STATES. 68
5. D-BRANES AND THEIR GEOMETRY 71
5.1. GENERAL FACTS ON D-BRANES. 71
5.2. SUPERSYMMETRIC CYCLES. 72
5.3. VECTOR BUNDLES VERSUS SHEAVES. 74
5.3.1. SHEAVES. 74
5.3.2. STABILITY. 76
V
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/963176544
CONTENTS
5.3.3. THE GROTHENDIECK-RIEMANN-ROCH THEOREM. 78
5.4. THE CENTRAL CHARGE OF THE D-BRANES. 81
5.4.1. THE D-BRANE CHARGE. 81
5.4.2. D6-BRANES. 83
5.4.3. D4-BRANES. 83
5.4.4. D2-BRANES. 84
5.5. MODULI OF D-BRANES. 85
5.5.1. DEFORMATIONS OF VECTOR BUNDLES AND SHEAVES. 85
5.5.2. BUNDLES AND SHEAVES ON ALGEBRAIC SURFACES. 87
5.5.3. SHEAVES ON CALABI-YAU THREEFOLDS. 88
5.6. D-BRANES AND MONODROMIES. 90
5.6.1. MONODROMY TRANSFORMATION ABOUT THE LARGE COMPLEX STRUCTURE LIMIT.
90
5.6.2. MONODROMY TRANSFORMATION ABOUT THE DISCRIMINANT LOCUS . 91
6. D-GEOMETRY 93
6.1. WITTEN INDEX AND INTERSECTION MATRIX. 94
6.2. A-TYPE BOUNDARY STATES. 95
6.3. B-TYPE BOUNDARY STATES IN SOME SPECIFIC EXAMPLES. 96
6.3.1. THE MIRROR GEOMETRIC HYPOTHESIS. 96
6.3.2. THE COMPARISON . 97
6.3.3. D-BRANES ON P?,1,2,2,2(8]. 99
6.3.4. D-BRANES ON PF,1,2,2,6(12].101
6.3.5. D-BRANES ON PF,1,1,6,9(18].103
6.3.6. D-BRANES ON P},!,1,3,9(12].107
6.3.7. D-BRANES ON PI,1,1,3,3(9].109
6.3.8. D-BRANES ON PF, 1,2,8,12(24].110
6.3.9. D-BRANES ON PF,2 33,3[12]. 115
6.3.10. D-BRANES ON P*
2 3 3 9[18].118
6.3.11. D-BRANES ON P?'4'5'5'5(20].122
6.3.12. D-BRANES ON PJ,3,4,4,12(24].126
6.4. RESULTS ON D-BRANES ON TORIC CALABI-YAU HYPERSURFACES.130
6.4.1. D4-BRANES ON
KZ
FIBERS.V . . 130
6.4.2. D4-BRANES ON RATIONAL OR RULED SURFACES.132
6.4.3. D4-BRANES ON ELLIPTICALLY FIBERED SURFACES.132
6.4.4. D4-BRANES ON SURFACES OF GENERAL TYPE .133
6.4.5. GENERAL RESULTS FOR D4-BRANES.133
6.4.6. D6-BRANES.134
6.4.7. D2-BRANES.135
6.4.8. DO-BRANES.136
6.4.9. D-BRANES AND NESTED MODULI SPACES.137
6.5. LINES OF MARGINAL STABILITY.137
6.5.1. NON-SUPERSYMMETRIC CONFIGURATIONS.137
6.5.2. UNSTABLE CONFIGURATIONS.138
7. OUTLOOK 141
A. ANALYTIC CONTINUATION OF THE PERIODS 143
B. MCKAY CORRESPONDENCE 153
VI
CONTENTS
C. DATA OF TORIC CALABI-YAU MANIFOLDS 159
C.L. THE FAMILIES
PF,1,2,2,2(8]) PI,2,3,3,3(12]) PL,2,3,3,9(18]) PI,4,5,5,S(20]
AND
IPF,3,4,4,12
[24]
.
159
C.1.1. TORIC DESCRIPTION OF PI)1|2,2,2(8].
159
C.L.
2
. TORIC DESCRIPTION OF PJ 2,3,3,3(12] .
160
C.
1
.
3
. TORIC DESCRIPTION OF P*,
2,3,
3,9(18] .
161
C.
1
.
4
. TORIC DESCRIPTION OF PF,4,5,5,5[
20
] .
162
C.
1
.
5
. TORIC DESCRIPTION OF PI,3,4,4,12(24].'.
163
C.2. THE FAMILIES PJ,I, 1,6,9(18]) ^1,1,1,3,E(
12
] AND PF, 1,1,3,3(9] .
164
C
3
. THE FAMILIES PF, 1,2,8,12(24]! PI, 1,2,4,8(16] AND PF,1,2,4,4(12].
165
BIBLIOGRAPHY 167
ACKNOWLEDGEMENTS 187 |
| any_adam_object | 1 |
| author | Scheidegger, Emanuel |
| author_facet | Scheidegger, Emanuel |
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| author_sort | Scheidegger, Emanuel |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV014018081 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T18:06:28Z |
| institution | BVB |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009598223 |
| oclc_num | 248754074 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-12 |
| owner_facet | DE-19 DE-BY-UBM DE-12 |
| physical | VIII, 186 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| record_format | marc |
| spelling | Scheidegger, Emanuel Verfasser aut D-branes on Calabi-Yau spaces von Emanuel Scheidegger 2001 VIII, 186 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Fak. für Physik, Diss., 2001 Calabi-Yau-Mannigfaltigkeit - D-Brane D-Brane (DE-588)4608630-4 gnd rswk-swf Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 s D-Brane (DE-588)4608630-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009598223&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scheidegger, Emanuel D-branes on Calabi-Yau spaces Calabi-Yau-Mannigfaltigkeit - D-Brane D-Brane (DE-588)4608630-4 gnd Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 gnd |
| subject_GND | (DE-588)4608630-4 (DE-588)4440893-6 (DE-588)4113937-9 |
| title | D-branes on Calabi-Yau spaces |
| title_auth | D-branes on Calabi-Yau spaces |
| title_exact_search | D-branes on Calabi-Yau spaces |
| title_full | D-branes on Calabi-Yau spaces von Emanuel Scheidegger |
| title_fullStr | D-branes on Calabi-Yau spaces von Emanuel Scheidegger |
| title_full_unstemmed | D-branes on Calabi-Yau spaces von Emanuel Scheidegger |
| title_short | D-branes on Calabi-Yau spaces |
| title_sort | d branes on calabi yau spaces |
| topic | Calabi-Yau-Mannigfaltigkeit - D-Brane D-Brane (DE-588)4608630-4 gnd Calabi-Yau-Mannigfaltigkeit (DE-588)4440893-6 gnd |
| topic_facet | Calabi-Yau-Mannigfaltigkeit - D-Brane D-Brane Calabi-Yau-Mannigfaltigkeit Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009598223&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT scheideggeremanuel dbranesoncalabiyauspaces |