Skip to main content

Research Repository

Advanced Search

The (2, 0) superconformal bootstrap

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

The (2, 0) superconformal bootstrap Thumbnail


Christopher Beem

Leonardo Rastelli

Balt C. van Rees


We develop the conformal bootstrap program for six-dimensional conformal field theories with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward identities and describe the superconformal block decomposition of this correlator. We apply numerical bootstrap techniques to derive bounds on operator product expansion (OPE) coefficients and scaling dimensions from the constraints of crossing symmetry and unitarity. We also derive analytic results for the large spin spectrum using the light cone expansion of the crossing equation. Our principal result is strong evidence that the A 1 theory realizes the minimal allowed central charge ( c = 25 ) for any interacting (2, 0) theory. This implies that the full stress tensor four-point function of the A 1 theory is the unique unitary solution to the crossing symmetry equation at c = 25 . For this theory, we estimate the scaling dimensions of the lightest unprotected operators appearing in the stress tensor operator product expansion. We also find rigorous upper bounds for dimensions and OPE coefficients for a general interacting (2, 0) theory of central charge c . For large c , our bounds appear to be saturated by the holographic predictions obtained from eleven-dimensional supergravity.


Beem, C., Lemos, M., Rastelli, L., & van Rees, B. C. (2016). The (2, 0) superconformal bootstrap. Physical Review D, 93(2), Article 025016.

Journal Article Type Article
Acceptance Date Nov 12, 2015
Online Publication Date Jan 21, 2016
Publication Date Jan 29, 2016
Deposit Date Feb 1, 2017
Publicly Available Date Feb 21, 2017
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 93
Issue 2
Article Number 025016
Related Public URLs


Published Journal Article (3.7 Mb)

Publisher Licence URL

Copyright Statement
This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

You might also like

Downloadable Citations