The biHermitian topological sigma model
arXiv:hep-th/0608145 · doi:10.1088/1126-6708/2006/12/039
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.
40 pages, Latex. Analysis of sect. 6 improved; references added
References in corpus (18)
- Mirror Manifolds And Topological Field Theory
- Topological strings on noncommutative manifolds
- Instantons, Poisson structures and generalized Kaehler geometry
- Generalized complex manifolds and supersymmetry
- Generalized Kahler manifolds and off-shell supersymmetry
- Complex Structures, Duality, and WZW-Models in Extended Superspace
- Topological sigma-models with H-flux and twisted generalized complex manifolds
- Hamiltonian perspective on generalized complex structure
- Generalized complex geometry, generalized branes and the Hitchin sigma model
- A sigma model field theoretic realization of Hitchin's generalized complex geometry
- Lectures on Generalized Complex Geometry and Supersymmetry
- Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
- Poisson geometry of sigma models with extended supersymmetry
- Mirror symmetry for topological sigma models with generalized Kahler geometry
- Properties of Semi-Chiral Superfields
- On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case
- A topological sigma model of biKaehler geometry
- Geometry of D-branes for general N=(2,2) sigma models
Cited by in corpus (14)
- Lectures on Generalized Complex Geometry for Physicists
- Deformations of calibrated D-branes in flux generalized complex manifolds
- Generalized Kaehler Potentials from Supergravity
- T-duality and Generalized Kahler Geometry
- New N = (2, 2) vector multiplets
- T-duality, quotients and generalized Kahler geometry
- The Hitchin Model, Poisson-quasi-Nijenhuis Geometry and Symmetry Reduction
- Gauging the Poisson sigma model
- Semichiral Fields on S^2 and Generalized Kähler Geometry
- Topological Sigma Models with H-Flux
- BiHermitian Supersymmetric Quantum Mechanics
- Topological A-Type Models with Flux
- An Alternative Topological Field Theory of Generalized Complex Geometry
- On gauged linear sigma models with torsion