Speaker
Paolo Arnaudo
(SISSA)
Description
In this talk, we will study the convergence properties of instanton partition functions in four-dimensional N=2 gauge theory with group U(N), also in the presence of matter in the adjoint or (anti)fundamental representation.
The main result is that if the considered theory is conformal its instanton function, seen as a power series in the complexified gauge coupling, has a finite radius of convergence, whereas, if the theory is asymptotically free, its instanton function is convergent over the whole complex plane.
