期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2017)032
关键词
Conformal and W Symmetry; Extended Supersymmetry
资金
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme FP7 under REA [317089]
- INFN
We initiate the bootstrap program for N = 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 N = 3 theories. With the goal of describing a protected subsector of a family of N = 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 N = 4 supersymmetry, allowing us to zoom in on a specific N = 3 SCFT.
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