3D-partition functions on the sphere: exact evaluation and mirror symmetry

Details 3D-partition functions on the sphere: exact evaluation and mirror symmetry 3D-partition functions on the sphere: exact evaluation and mirror symmetry

2011-05-12

arxiv.org/abs/1105.2551v2

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 12 figures. v2: added references, minor changes

Scientific paper

We study N = 4 quiver theories on the three-sphere. We compute partition functions using the localisation method by Kapustin et al. solving exactly the matrix integrals at finite N, as functions of mass and Fayet-Iliopoulos parameters. We find a simple explicit formula for the partition function of the quiver tail T(SU(N)). This formula opens the way for the analysis of star-shaped quivers and their mirrors (that are the Gaiotto-type theories arising from M5 branes on punctured Riemann surfaces). We provide non-perturbative checks of mirror symmetry for infinite classes of theories and find the partition functions of the TN theory, the building block of generalised quiver theories.

Affiliated with

Also associated with

No associations

Rating

3D-partition functions on the sphere: exact evaluation and mirror symmetry 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 3D-partition functions on the sphere: exact evaluation and mirror symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 3D-partition functions on the sphere: exact evaluation and mirror symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-497574