Bootstrapping $\mathcal{N}=3$ superconformal theories

Lemos, Madalena; Meneghelli, Carlo; Mitev, Vladimir; Liendo, Pedro

Preprint/Report

PUBDB-2016-05986

Bootstrapping $\mathcal{N}=3$ superconformal theories

Lemos, M. (Corresponding author)DESY* ; Liendo, P.DESY* ; Meneghelli, C.Extern* ; Mitev, V.

2016

[10.3204/PUBDB-2016-05986]

This record in other databases:

Please use a persistent id in citations: doi:10.3204/PUBDB-2016-05986

Report No.: DESY 16-237; MITP/16-132

Abstract: We initiate the bootstrap program for $\mathcal{N}=3$ superconformal field theories (SCFTs) in four dimensions. We consider the problem from two fronts: the protected subsector described by a $2d$ chiral algebra, and crossing symmetry for half-BPS operators whose superconformal primaries parametrize the Coulomb branch of $\mathcal{N}=3$ theories. In order to describe a protected subsector of a family of $\mathcal{N}=3$ SCFTs, we study a $2d$ chiral algebra with super Virasoro symmetry that depends on an arbitrary parameter, identified with the central charge of the theory. Turning on to crossing, we work out the superconformal block expansion of the crossing equations and apply standard numerical bootstrap techniques in order to constrain the CFT data. We obtain bounds valid for any theory but also, thanks to input from the chiral algebra results, we are able to exclude solutions with $\mathcal{N}=4$ supersymmetry, allowing us to zoom in on a specific $\mathcal{N}=3$ SCFT.

Contributing Institute(s):