The biHermitian topological sigma model

2006/08/31 by Roberto Zucchini · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th #math.DG

paper · pdf · doi:10.1088/1126-6708/2006/12/039

published as JHEP0612:039,2006 · 40 pages, Latex. Analysis of sect. 6 improved; references added

arxiv created 2006/09/01 · openalex publication_date 2006/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

BiHermitian geometry, discovered long ago by Gates, Hull and Roceck, is the most general sigma model target space geometry allowing for (2,2) world sheet supersymmetry. By using the twisting procedure proposed by Kapustin and Li, we work out the type A and B topological sigma models for a general biHermtian target space, we write down the explicit expression of the sigma model's action and BRST transformations and present a computation of the topological gauge fermion and the topological action.

Citations

• On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case
• Mirror Manifolds And Topological Field Theory
• Topological sigma-models with H-flux and twisted generalized complex manifolds

Cited by

• An alternative topological field theory of generalized complex geometry