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Topological sigma models and generalized geometries


Li, Yi (2005) Topological sigma models and generalized geometries. Dissertation (Ph.D.), California Institute of Technology.


We study the relation between topological sigma models and generalized geometries. The existence conditions for the most general type of topological sigma models obtained from twisting the N=(2,2) supersymmetric sigma model are investigated, and are found to be related to twisted generalized Calabi-Yau structures. The properties of these topological sigma models are analyzed in detail. The observables are shown to be described by the cohomology of a Lie algebroid, which is intrinsically associated with the twisted generalized Calabi-Yau structure. The Frobenius structure on the space of states and the effects of instantons are analyzed. We also study D-branes in these topological sigma models, and demonstrate that they also admit descriptions in terms of generalized geometries.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:D-brane; differential geometry; generalized geometry; sigma model; topological field theory
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Kapustin, Anton N.
Thesis Committee:
  • Kapustin, Anton N. (chair)
  • Porter, Frank C.
  • Ooguri, Hirosi
  • Schwarz, John H.
Defense Date:18 May 2005
Author Email:yili (AT)
Record Number:CaltechETD:etd-05262005-154458
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2098
Deposited By: Imported from ETD-db
Deposited On:02 Jun 2005
Last Modified:26 Dec 2012 02:46

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