Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index

Details Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index

2011-04-22

arxiv.org/abs/1104.4470v5

Physics

High Energy Physics

High Energy Physics - Theory

42+1 pages, 2 figures, JHEP style: v1.2.3 minor corrections, v4 major revision, conclusions essentially unchanged, v5 publishe

Scientific paper

We provide the geometrical meaning of the ${\cal N}=4$ superconformal index. With this interpretation, the ${\cal N}=4$ superconformal index can be realized as the partition function on a Scherk-Schwarz deformed background. We apply the localization method in TQFT to compute the deformed partition function since the deformed action can be written as a $\delta_\epsilon$-exact form. The critical points of the deformed action turn out to be the space of flat connections which are, in fact, zero modes of the gauge field. The one-loop evaluation over the space of flat connections reduces to the matrix integral by which the ${\cal N}=4$ superconformal index is expressed.

Affiliated with

Also associated with

No associations

Rating

Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index 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 Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330951