Generalized bootstrap equations for N = 4 $$ \mathcal{N}=4 $$ SCFT

Luis Alday (Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Oxford, OX2 6GG, U.K.) ; Agnese Bissi (Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Oxford, OX2 6GG, U.K.)

We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N = 4 $$ \mathcal{N}=4 $$ superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension of unprotected local operators transforming in various representations of the R-symmetry group. These bounds generalize recent bounds for operators in the singlet representation, arising from consistency of the four-point function of the stress-energy tensor multiplet.

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Published on:
16 February 2015
Publisher:
Springer/SISSA
Published in:
Journal of High Energy Physics (2015)

DOI:
https://doi.org/10.1007/JHEP02(2015)101
arXiv:
1404.5864
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: