Five-dimensional fermionic Chern-Simons theory
High Energy Physics - Theory
2018-04-04 v2
Abstract
We study 5d fermionic CS theory with a fermionic 2-form gauge potential. This theory can be obtained from 5d MSYM theory by performing the maximal topological twist. We put the theory on a five-manifold and compute the partition function. We find that it is a topological quantity, which involves the Ray-Singer torsion of the five-manifold. For abelian gauge group we consider the uplift to the 6d theory and find a mismatch between the 5d partition function and the 6d index, due to the nontrivial dimensional reduction of a selfdual two-form gauge field on a circle. We also discuss an application of the 5d theory to generalized knots made of 2d sheets embedded in 5d.
Cite
@article{arxiv.1710.02841,
title = {Five-dimensional fermionic Chern-Simons theory},
author = {Dongsu Bak and Andreas Gustavsson},
journal= {arXiv preprint arXiv:1710.02841},
year = {2018}
}
Comments
67 pages