Geometric Transitions, Topological Strings, and Generalized Complex Geometry

doi:10.2172/909289

Title: Geometric Transitions, Topological Strings, and Generalized Complex Geometry

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Abstract

Mirror symmetry is one of the most beautiful symmetries in string theory. It helps us very effectively gain insights into non-perturbative worldsheet instanton effects. It was also shown that the study of mirror symmetry for Calabi-Yau flux compactification leads us to the territory of ''Non-Kaehlerity''. In this thesis we demonstrate how to construct a new class of symplectic non-Kaehler and complex non-Kaehler string theory vacua via generalized geometric transitions. The class admits a mirror pairing by construction. From a variety of sources, including super-gravity analysis and KK reduction on SU(3) structure manifolds, we conclude that string theory connects Calabi-Yau spaces to both complex non-Kaehler and symplectic non-Kaehler manifolds and the resulting manifolds lie in generalized complex geometry. We go on to study the topological twisted models on a class of generalized complex geometry, bi-Hermitian geometry, which is the most general target space for (2, 2) world-sheet theory with non-trivial H flux turned on. We show that the usual Kaehler A and B models are generalized in a natural way. Since the gauged supergravity is the low energy effective theory for the compactifications on generalized geometries, we study the fate of flux-induced isometry gauging in N = 2 IIA and heteroticmore »« less

Authors:: Chuang, Wu-yen

Publication Date:: Fri Jun 29 00:00:00 EDT 2007

Research Org.:: Stanford Linear Accelerator Center (SLAC)

Sponsoring Org.:: USDOE

OSTI Identifier:: 909289

Report Number(s):: SLAC-R-873
TRN: US0703851

DOE Contract Number:: AC02-76SF00515

Resource Type:: Thesis/Dissertation

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPACTIFICATION; CONSTRUCTION; GEOMETRY; INSTANTONS; MIRRORS; SUPERGRAVITY; SYMMETRY; TARGETS; Theory-HEP,HEPTH

Citation Formats


                    Chuang, Wu-yen, and /SLAC /Stanford U., Phys. Dept. Geometric Transitions, Topological Strings, and Generalized Complex Geometry.  United States: N. p., 2007. 
        Web.  doi:10.2172/909289.

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                    Chuang, Wu-yen, & /SLAC /Stanford U., Phys. Dept. Geometric Transitions, Topological Strings, and Generalized Complex Geometry.  United States.  doi:10.2172/909289.

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                    Chuang, Wu-yen, and /SLAC /Stanford U., Phys. Dept. Fri .  
        "Geometric Transitions, Topological Strings, and Generalized Complex Geometry".  United States.  doi:10.2172/909289.  https://www.osti.gov/servlets/purl/909289.

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@article{osti_909289,

  title        = {Geometric Transitions, Topological Strings, and Generalized Complex Geometry},

  author       = {Chuang, Wu-yen and /SLAC /Stanford U., Phys. Dept.},

  abstractNote = {Mirror symmetry is one of the most beautiful symmetries in string theory. It helps us very effectively gain insights into non-perturbative worldsheet instanton effects. It was also shown that the study of mirror symmetry for Calabi-Yau flux compactification leads us to the territory of ''Non-Kaehlerity''. In this thesis we demonstrate how to construct a new class of symplectic non-Kaehler and complex non-Kaehler string theory vacua via generalized geometric transitions. The class admits a mirror pairing by construction. From a variety of sources, including super-gravity analysis and KK reduction on SU(3) structure manifolds, we conclude that string theory connects Calabi-Yau spaces to both complex non-Kaehler and symplectic non-Kaehler manifolds and the resulting manifolds lie in generalized complex geometry. We go on to study the topological twisted models on a class of generalized complex geometry, bi-Hermitian geometry, which is the most general target space for (2, 2) world-sheet theory with non-trivial H flux turned on. We show that the usual Kaehler A and B models are generalized in a natural way. Since the gauged supergravity is the low energy effective theory for the compactifications on generalized geometries, we study the fate of flux-induced isometry gauging in N = 2 IIA and heterotic strings under non-perturbative instanton effects. Interestingly, we find we have protection mechanisms preventing the corrections to the hyper moduli spaces. Besides generalized geometries, we also discuss the possibility of new NS-NS fluxes in a new doubled formalism.},

  doi          = {10.2172/909289},

  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Fri Jun 29 00:00:00 EDT 2007},

  month        = {Fri Jun 29 00:00:00 EDT 2007}

}

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DOI: 10.2172/909289

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