(11.12.) Cardy formulae in SUSY theories
11.12.2014 at 16:15
We consider 4d N=1 SUSY theories on spaces with compact space-like slices. One can define a generalized Witten index by a weighted sum over states. This object is computed by the path integral on the background with a compactified time direction and periodic conditions for the fermions. We will show a universal asymptotic formula for the index in the limit of small radius of the Euclidean time circle. The asymptotic behavior is fixed by the anomalies of the theory. If time permits, we will discuss some applications and the generalization to 6d (1,0) theories.
Arnold Sommerfeld Center