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The N=2 superconformal bootstrap

Beem, C.; Lemos, M.; Liendo, P.; Rastelli, L.; van Rees, B.C.

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C. Beem

P. Liendo

L. Rastelli

B.C. van Rees


In this work we initiate the conformal bootstrap program for N=2N=2 super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of N=2N=2 chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any N=2N=2 superconformal field theory.


Beem, C., Lemos, M., Liendo, P., Rastelli, L., & van Rees, B. (2016). The N=2 superconformal bootstrap. Journal of High Energy Physics, 2016(3), Article 183.

Journal Article Type Article
Acceptance Date Mar 12, 2016
Online Publication Date Mar 29, 2016
Publication Date Mar 29, 2016
Deposit Date Dec 30, 2015
Publicly Available Date Jun 2, 2016
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2016
Issue 3
Article Number 183
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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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