Skip to main content

The N=8 superconformal bootstrap in three dimensions

Author(s): Chester, Shai M; Lee, Jaehoon; Pufu, Silviu S; Yacoby, Ran

To refer to this page use:
Abstract: We analyze the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of N = 8 superconformal field theories in three dimensions. We first derive the superconformal blocks by analyzing the superconformal Ward identity. Our results imply that the OPE of the primary operator of the stress-tensor multiplet with itself must have parity symmetry. We then analyze the relations between the crossing equations, and we find that these equations are mostly redundant. We implement the independent crossing constraints numerically and find bounds on OPE coefficients and operator dimensions as a function of the stress-tensor central charge. To make contact with known N = 8 superconformal field theories, we compute this central charge in a few particular cases using supersymmetric localization. For limiting values of the central charge, our numerical bounds are nearly saturated by the large N limit of ABJM theory and also by the free U(1) x U(1) ABJM theory.
Publication Date: Sep-2014
Electronic Publication Date: 24-Sep-2014
Citation: Chester, Shai M, Lee, Jaehoon, Pufu, Silviu S, Yacoby, Ran. (2014). The N=8 superconformal bootstrap in three dimensions. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP09(2014)143
DOI: doi:10.1007/JHEP09(2014)143
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.