"Mellin space analytic bootstrap for O(N) models," by Parijat Dey (Indian Institute of Science, Bangalore)

Date: 
Tuesday, October 25, 2016 - 4:00pm to 5:00pm
Series: 
TEP Seminars

TEP Seminar

Physics & Astronomy Building (PAB) Room 4-330
Tuesday, October 25, 2016
4-5PM

Guest Speaker: Parijat Dey (Indian Institute of Science, Bangalore)

Talk Title: "Mellin space analytic bootstrap for O(N) models"

Abstract:

We apply the analytic conformal bootstrap ideas in Mellin space to conformal field theories with an O(N) symmetry. We focus on the generic four point Mellin amplitude of scalars in the fundamentals of O(N) in s, t, u  channel and isolate the contribution which is inconsistent with the OPE. Demanding the cancellation of  these OPE-offending terms gives constraints on the operator dimension and the OPE coefficient. We solve the constraint equations to compute the anomalous dimension and the OPE coefficients of scalar and higher spin exchange operators appearing in the singlet, symmetric traceless and antisymmetric sector of the O(N) representation in d=4-epsilon and the large N limit in general dimension. This allows us to reproduce the known results as well as obtain new results for O(N) models.

Event Attachments: 
Location: 
PAB 4-330