Introduction

JHEP

Journal of High Energy Physics

1029-8479

JHEP02(2016)019

10.1007/JHEP02(2016)019

Stress-tensor OPE in

superconformal theories

Pedro Liendo

pliendo@physik.hu-berlin.de

Israel Ramírez

israel.ramirez.12@sansano.usm.cl

Jihye Seo

jihye.seo@desy.de IMIP, Humboldt-Universität zu Berlin, IRIS Adlershof, Zum Großen Windkanal 6, 12489 Berlin, Germany Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile Theory Group, DESY Hamburg, Notkestrasse 85, D-22607 Hamburg, Germany

03022016

2016 02 019 03112015 07122015 08012016

OPEN ACCESS, © The Authors

2016

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.

1509.00033

We carry out a detailed superspace analysis of the OPE of two stress-tensor multiplets. Knowledge of the multiplets appearing in the expansion, together with the two-dimensional chiral algebra description of SCFTs, imply an analytic bound on the central charge . This bound is valid for any SCFT regardless of its matter content and flavor symmetries, and is saturated by the simplest Argyres-Douglas fixed point. We also present a partial conformal block analysis for the scalar superconformal primary of the multiplet.

Supersymmetric gauge theory Extended Supersymmetry Superspaces Conformal and W Symmetry

Article funded by SCOAP3

Introduction

Preliminaries

Three-point functions

Solutions

Extra solutions

2d chiral algebra and central charge bound

Enhanced Virasoro symmetry

Superconformal block analysis

Quick review of conformal blocks

Toward the superconformal block

\texorpdfstring{$\Nm=1$}{N=1} decomposition

Conclusions

Acknowledgments

\texorpdfstring{\boldmath$\Nm=2$}{N=2} superconformal algebra

Superspace identities

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