Journal title
Physical Review D
DOI
10.1103/PhysRevD.96.046014
Issue
4
Volume
96
Last updated
2024-04-11T08:30:11.643+01:00
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
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Publication type
Journal Article
Publication date
25 Aug 2017