Twisting gauged non-linear sigma-models
High Energy Physics - Theory
2009-04-30 v2 Differential Geometry
Abstract
We consider gauged sigma-models from a Riemann surface into a Kaehler and hamiltonian G-manifold X. The supersymmetric N=2 theory can always be twisted to produce a gauged A-model. This model localizes to the moduli space of solutions of the vortex equations and computes the Hamiltonian Gromov-Witten invariants. When the target is equivariantly Calabi-Yau, i.e. when its first G-equivariant Chern class vanishes, the supersymmetric theory can also be twisted into a gauged B-model. This model localizes to the Kaehler quotient X//G.
Cite
@article{arxiv.0707.2786,
title = {Twisting gauged non-linear sigma-models},
author = {J. M. Baptista},
journal= {arXiv preprint arXiv:0707.2786},
year = {2009}
}
Comments
33 pages; v2: small additions, published version