Global Properties of Supersymmetric Theories and the Lens Space

Understand

We compute the supersymmetric partition function on L(r,1)xS^1, the lens space index, for 4d gauge theories related by supersymmetric dualities and involving non simply-connected groups.

• This computation is sensitive to the global properties of the underlying gauge group and to discrete theta angle parameters and thus distinguishes versions of dualities differing by such.
• We explicitly discuss N=1 so(N_c) Seiberg dualities and N=4 su(N_c) S-dualities.