On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 2002.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/8490 |
| _version_ | 1826216035533979648 |
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| author | He, Yang-Hui, 1975- |
| author2 | Amihay Hanany. |
| author_facet | Amihay Hanany. He, Yang-Hui, 1975- |
| author_sort | He, Yang-Hui, 1975- |
| collection | MIT |
| description | Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 2002. |
| first_indexed | 2024-09-23T16:40:58Z |
| format | Thesis |
| id | mit-1721.1/8490 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:40:58Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/84902019-04-12T09:24:53Z On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory He, Yang-Hui, 1975- Amihay Hanany. Massachusetts Institute of Technology. Dept. of Physics. Massachusetts Institute of Technology. Dept. of Physics. Physics. Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 2002. Includes bibliographical references (p. 601-634). In this thesis we shall address certain beautiful inter-relations between the construction of 4-dimensional supersymmetric gauge theories and resolution of algebraic singularities, from the perspective of String Theory. We review in detail the requisite background in both the mathematics, such as orbifolds, symplectic quotients and quiver representations, as well as the physics, such as gauged linear sigma models, geometrical engineering, Hanany-Witten setups and D-brane probes. We present the work of the author in the past 4 years at the Centre for Theoretical Physics, on aspects of the world-volume gauge dynamics using D-brane resolutions of various Calabi-Yau singularities, notably Gorenstein quotients and toric singularities. Attention will be paid to the general methodology of contructing gauge theories for these singular backgrounds, with and without the presence of the NS-NS B-field, as well as the T-duals to brane setups and branes wrapping cycles in the mirror geometry. Applications of such diverse and elegant mathematics as crepant resolution of algebraic singularities, representation of finite groups and finite graphs, modular invariants of affine Lie algebras, etc. will naturally arise. Various viewpoints and generalisations of McKay's Correspondence will also be considered. As a final digression, the author's work in Witten's cubic bosonic open string field theory, will also be included. by Yahg-Hui He. Ph.D. 2005-08-23T20:34:33Z 2005-08-23T20:34:33Z 2002 2002 Thesis http://hdl.handle.net/1721.1/8490 50762464 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 634 p. 43325232 bytes 43324989 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. He, Yang-Hui, 1975- On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory |
| title | On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory |
| title_full | On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory |
| title_fullStr | On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory |
| title_full_unstemmed | On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory |
| title_short | On algebraic singularities, finite graphs and D-brane gauge theories : a string theoretic perspective -- with a digression on string field theory |
| title_sort | on algebraic singularities finite graphs and d brane gauge theories a string theoretic perspective with a digression on string field theory |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/8490 |
| work_keys_str_mv | AT heyanghui1975 onalgebraicsingularitiesfinitegraphsanddbranegaugetheoriesastringtheoreticperspectivewithadigressiononstringfieldtheory |