S 3/Z n partition function and dualities

Yosuke Imamura, Daisuke Yokoyama
2012 Journal of High Energy Physics  
We investigate S^3/Z_n partition function of N = 2 supersymmetric gauge theories. A gauge theory on the orbifold has degenerate vacua specified by the holonomy. The partition function is obtained by summing up the contributions of saddle points with different holonomies. An appropriate choice of the phase of each contribution is essential to obtain the partition function. We determine the relative phases in the holonomy sum in a few examples by using duality to non-gauge theories. In the case
more » ... odd n the phase factors can be absorbed by modifying a single function appearing in the partition function.
doi:10.1007/jhep11(2012)122 fatcat:d2sui52o3ffyne7uaxcz33iij4