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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: The superconformal index of N=4 SYM, exact results from a Fermi gas

Presented by Nadav Drukker, KCL

12 February 2016 13:00 in CM221

The superconformal index is a generalization of the Witten index to 4 dimensional field theories. It has been known for 10 years how to count the states contributing to the index and express the result as a matrix model. I will present new results on the exact solution of this matrix model in the case of N=4 SYM. The solution can be written in different forms: as a single integral of Jacobi theta functions, as sums over large N instantons or for fixed N as polynomials of elliptic integrals. Time permitting I will explain the generalization to theories with N=2 SUSY, where for some the index can be solved completely, and for others only up to large N instantons.

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