Supersymmetric Qft, Super Loop Spaces and Bismut-chern Character

A Loop Group Extension of the Odd Chern Character

We show that the universal odd Chern form, defined on the stable unitary group U , extends to the loop group LU as an equivariantly closed differential form. This provides an odd analogue to the Bismut-Chern form that appears in supersymmetric field theories. We also describe the associated transgression form, the so-called Bismut-Chern-Simons form, and explicate some properties it inherits as ...

The Equivariant Chern Character as Super Holonomy on Loop Stacks

We study super parallel transport around super loops in a quotient stack, and show that this geometry constructs a global version of the equivariant Chern character.

Dynamical ( super ) symmetry vacuum properties of the supersymmetric Chern - Simons - matter model

Moduli spaces of Chern-Simons quiver gauge theories

We analyse the classical moduli spaces of supersymmetric vacua of 3d N = 2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3d theory always contains a baryonic branch of a parent 4d N = 1 quiver gauge theory, where the 4d baryonic branch is determined by the vector of 3d Chern-Simons levels. In particular, starting with a 4d quiver theory dual to a 3-fol...

Topological Gravity on the Lattice

In this paper we show that a particular twist of N = 4 super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the complexified gauge group SL(2, C). The theory also contains a set of topological observables corresponding to Wilson loops wrapping non-trivial cycles of the base manifold. This moduli space an...