Integrating Over Higgs Branches

Details Integrating Over Higgs Branches Integrating Over Higgs Branches

1997-12-28

arxiv.org/abs/hep-th/9712241v2

Commun.Math.Phys. 209 (2000) 97-121

Physics

High Energy Physics

High Energy Physics - Theory

32pp. harvmac big mode; v.2 34pp. typos fixed, sections 4.1, 5.2 substantially improved

Scientific paper

10.1007/PL00005525

We develop some useful techinques for integrating over Higgs branches in supersymmetric theories with 4 and 8 supercharges. In particular, we define a regularized volume for hyperkahler quotients. We evaluate this volume for certain ALE and ALF spaces in terms of the hyperkahler periods. We also reduce these volumes for a large class of hyperkahler quotients to simpler integrals. These quotients include complex coadjoint orbits, instanton moduli spaces on R^4 and ALE manifolds, Hitchin spaces, and moduli spaces of parabolic Higgs bundles on Riemann surfaces. In the case of Hitchin spaces the evaluation of the volume reduces to a summation over solutions of Bethe Ansatz equations for the non-linear Schroedinger system. We discuss some applications of our results.

Affiliated with

Also associated with

No associations

Rating

Integrating Over Higgs Branches 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 Integrating Over Higgs Branches, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrating Over Higgs Branches will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269263