Reducing the 4d Index to the S^3 Partition Function

Details Reducing the 4d Index to the S^3 Partition Function Reducing the 4d Index to the S^3 Partition Function

2011-04-13

arxiv.org/abs/1104.2592v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Corrected typos in the appendix, Updated references

Scientific paper

The superconformal index of a 4d gauge theory is computed by a matrix integral arising from localization of the supersymmetric path integral on S^3 x S^1 to the saddle point. As the radius of the circle goes to zero, it is natural to expect that the 4d path integral becomes the partition function of dimensionally reduced gauge theory on S^3. We show that this is indeed the case and recover the matrix integral of Kapustin, Willet and Yaakov from the matrix integral that computes the superconformal index. Remarkably, the superconformal index of the "parent" 4d theory can be thought of as the q-deformation of the 3d partition function.

Affiliated with

Also associated with

No associations

Rating

Reducing the 4d Index to the S^3 Partition Function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reducing the 4d Index to the S^3 Partition Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reducing the 4d Index to the S^3 Partition Function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-219911