1307.6612 (Francesco Fucito et al.)

Exact results in N=2 gauge theories    [PDF]

Francesco Fucito, Jose Francisco Morales, Rubik Poghossian, Daniel Ricci Pacifici

We derive exact formulae for the partition function and the expectation values of Wilson/t'Hooft loops for a special class of N=2 gauge theories on S^4 with fundamental matter. In particular we show that, for a specific choice of the masses, the matrix model integral defining the gauge theory partition function localizes around a finite set of critical points where it can be explicitly evaluated and written in terms of generalized hypergeometric functions. From the AGT perspective the gauge theory partition function, evaluated with this choice of masses, is viewed as a four point correlator involving the insertion of a degenerated field. The well known simplicity of the degenerated correlator reflects the fact that for these choices of masses only a very restrictive type of instanton configurations contributes to the gauge theory partition function.

View original: http://arxiv.org/abs/1307.6612