String Theory Seminars

1/N and M/N Anomalous Dimensions in Chern-SImons with Matter ((STMP Journal Club)

by Prof. Shiroman Prakash (Dayalbagh Educational Institute, Agra)

Thursday, June 15, 2017 from to (Asia/Kolkata)
at A304
Description
We will first review how planar three-point functions can be used to determine 1/N spectrum of higher spin operators in Chern-Simons theory coupled to fundamental fermions to all orders in the 't Hooft coupling, based on work with GIombi, Gurucharan, Kirilin, and Skvortsov. We then show how this can be extended to calculate M/N anomalous dimensions of higher spin operators to al orders in both 't Hooft couplings, in U(N) times U(M) bifundamental Chern SImons theory, which is work in progress with V Gurucharan. Finally, we point out a duality connecting bifundamental (critical) bosons to bifundamental fermions, reminiscent of the ABJ duality that naturally follows from the vector model bosonization duality. We do not yet know how to extend this duality to finite N and M, however. Other speculative dualities may be discussed.