More N = 4 superconformal bootstrap

Beem, Christopher; Rastelli, Leonardo; van Rees, Balt C.

Abstract

In this long overdue second installment, we continue to develop the conformal bootstrap program for N = 4 superconformal field theories (SCFTs) 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 Beem et al. [Commun. Math. Phys. 336, 1359 (2015)]. 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 operator product expansion 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 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 operator product expansion 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 Beem et al. [Phys. Rev. Lett. 111, 071601 (2013)] in addition to new results.

Citation

Beem, C., Rastelli, L., & van Rees, B. C. (2017). More N = 4 superconformal bootstrap. Physical Review D, 96(4), Article 046014. https://doi.org/10.1103/physrevd.96.046014

• Journal Article Type: Article
• Acceptance Date: Jun 14, 2017
• Online Publication Date: Aug 25, 2017
• Publication Date: Aug 25, 2017
• Deposit Date: Feb 1, 2017
• Publicly Available Date: Oct 12, 2017
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 4
• Article Number: 046014
• DOI: https://doi.org/10.1103/physrevd.96.046014
• Public URL: https://durham-repository.worktribe.com/output/1395368