Five-dimensional fermionic Chern-Simons theory

Dongsu Bak, Andreas Gustavsson
2018 Journal of High Energy Physics  
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
more » ... 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.
doi:10.1007/jhep02(2018)037 fatcat:2flq46b7s5hlzek6znufxcq32y