Theoretical High Energy Seminar
Grigory Vartanov (AEI Potsdam)
Application of Superconformal Index Technique to Supersymmetric dualities
We discuss the application of superconformal index technique to four-dimensional supersymmetric dialities. This technique is applied to different type of dualities: Seiberg dualities for N=1 SYM theories and S-dualities for N=2 and N=4 SYM theories. Superconformal indices are expressed in terms of elliptic hypergeometric integrals - a new class of special functions discovered recently by V. Spiridonov. We show a close connection between these two research areas of modern mathematical physics. In particular, we describe the chiral symmetry breaking in terms of the delta-function singularities in superconformal indices for particular values of chemical potentials. This is a joint work with V. Spiridonov.
Date: Tuesday, 25/1/11
Place: Auditorium A, Blegdamsvej 17, 2100, Copenhagen