A Caltech Library Service

Topological Sigma Models and Generalized Geometries


Li, Yi (2005) Topological Sigma Models and Generalized Geometries. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RMHE-4185.


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.
Group:Caltech Theory
Thesis Committee:
  • Kapustin, Anton N. (chair)
  • Porter, Frank C.
  • Ooguri, Hirosi
  • Schwarz, John H.
Defense Date:18 May 2005
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:22 May 2020 20:49

Thesis Files

PDF - Final Version
See Usage Policy.


Repository Staff Only: item control page