Topological Chern-Simons Sigma Model
Abstract
We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N=4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N, and find two different twistings for N=4, one for N=5,6, and four for N=8. We construct the two types of N=4 topological theories, which we call A/B-models, in full detail. The A-model has been recently studied by Kapustin and Saulina. The B-model is new and it consists solely of a Chern-Simons term of a complex gauge field up to BRST-exact terms. We also compare the new theories with topological Yang-Mills theories and find some interesting connections. In particular, the A-model seems to offer a new perspective on Casson invariant and its relation to Rozansky-Witten theory.
Cite
@article{arxiv.0907.1641,
title = {Topological Chern-Simons Sigma Model},
author = {Eunkyung Koh and Sangmin Lee and Sungjay Lee},
journal= {arXiv preprint arXiv:0907.1641},
year = {2009}
}
Comments
31 pages, no figure; v2. references added