Application of Superconformal Index Technique to Supersymmetric dualities – Niels Bohr Institute - University of Copenhagen

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Niels Bohr Institute > Calendar > 2011 > Application of Superco...

Application of Superconformal Index Technique to Supersymmetric dualities

Grigory Vartanov (AEI Potsdam)

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.