More N=4 superconformal bootstrap

Author: 

Beem, C
Rastelli, L
van Rees, B

Publication Date: 

25 August 2017

Journal: 

Physical Review D

Last Updated: 

2020-06-22T18:05:13.17+01:00

Issue: 

4

Volume: 

96

DOI: 

10.1103/PhysRevD.96.046014

page: 

046014-

abstract: 

In this long overdue second installment, we continue to develop the conformal bootstrap program for N=4 superconformal field theories in four dimensions via an analysis of the correlation function of four stress-tensor supermultiplets. We review analytic results for this correlator and make contact with the SCFT/chiral algebra correspondence of arXiv:1312.5344. We demonstrate that the constraints of unitarity and crossing symmetry require the central charge c to be greater than or equal to 3/4 in any interacting N=4 SCFT. We apply numerical bootstrap methods to derive upper bounds on scaling dimensions and OPE coefficients for several low-lying, unprotected operators as a function of the central charge. We interpret our bounds in the context of N=4 super Yang-Mills (SYM) theories, formulating a series of conjectures regarding the embedding of the conformal manifold --- parametrized by the complexified gauge coupling --- into the space of scaling dimensions and OPE coefficients. Our conjectures assign a distinguished role to points on the conformal manifold that are self-dual under a subgroup of the S-duality group. This paper contains a more detailed exposition of a number of results previously reported in arXiv:1304.1803 in addition to new results.

Symplectic id: 

709075

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article