The N = 8 superconformal bootstrap in three dimensions
Name
Chester-2014-The N
Size
1.11 MB
Format
Unknown
Checksum (MD5)
e370a87526c004ea02f4c300119e8ee3
Author(s)
Chester, Shai M.
Lee, Jaehoon
Pufu, Silviu S.
Yacoby, Ran
Date Issued
September 2014
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Chester, Shai M., Jaehoon Lee, Silviu S. Pufu, and Ran Yacoby. “The N = 8 Superconformal Bootstrap in Three Dimensions.” J. High Energ. Phys. 2014, no. 9 (September 2014).
Version
Final published version
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) × U(1) ABJM theory.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP09(2014)143
