Semichiral Fields on S^2 and Generalized K\"ahler Geometry
Abstract
We study a class of two-dimensional N=(2,2) supersymmetric gauge theories, given by semichiral multiplets coupled to the standard vector multiplet. In the UV, these theories are traditional gauge theories deformed by a gauged Wess-Zumino term. In the IR, they give rise to nonlinear sigma models on noncompact generalized K\"ahler manifolds, which contain a three-form flux H and whose metric is not K\"ahler. We place these theories on S^2 and compute their partition function exactly with localization techniques. We find that the contribution of instantons to the partition function that we define is insensitive to the deformation, and discuss our results from the point of view of the generalized K\"ahler target space.
Cite
@article{arxiv.1505.06207,
title = {Semichiral Fields on S^2 and Generalized K\"ahler Geometry},
author = {Francesco Benini and P. Marcos Crichigno and Dharmesh Jain and Jun Nian},
journal= {arXiv preprint arXiv:1505.06207},
year = {2016}
}
Comments
2+24+17 pages; References updated and minor modifications in v2 (published version)