TY  - JOUR
AU  - Lemos, Madalena
AU  - Liendo, Pedro
AU  - Meneghelli, Carlo
AU  - Mitev, Vladimir
TI  - Bootstrapping <i>N</i> = 3 superconformal theories
JO  - Journal of high energy physics
VL  - 1704
IS  - 04
SN  - 1029-8479
CY  - Berlin
PB  - Springer
M1  - PUBDB-2017-01837
M1  - DESY-16-237
M1  - MITP/16-132
SP  - 032
PY  - 2017
AB  - We initiate the bootstrap program for <i>N</i> = 3 superconformal field theories (SCFTs) in four dimensions. The problem is considered 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 <i>N</i> = 3 theories. With the goal of describing a protected subsector of a family of <i>N</i> = 3 SCFTs, we propose a new 2d chiral algebra with super Virasoro symmetry that depends on an arbitrary parameter, identified with the central charge of the theory. Turning to the crossing equations, we work out the superconformal block expansion 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 <i>N</i> = 4 supersymmetry,allowingustozoominonaspecific <i>N</i> = 3 SCFT.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000398450600003
DO  - DOI:10.1007/JHEP04(2017)032
UR  - https://bib-pubdb1.desy.de/record/320553
ER  -