MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Exact correlators of BPS Operators from the 3d superconformal bootstrap

Author(s)
Chester, Shai M.; Lee, Jaehoon; Pufu, Silviu S.; Yacoby, Ran
Thumbnail
DownloadChester-2015-Exact correlators of.pdf (1.029Mb)
PUBLISHER_CC

Publisher with Creative Commons License

Creative Commons Attribution

Terms of use
Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/
Metadata
Show full item record
Abstract
We use the superconformal bootstrap to derive exact relations between OPE coefficients in three-dimensional superconformal field theories with N ≥ 4 supersymmetry. These relations follow from a consistent truncation of the crossing symmetry equations that is associated with the cohomology of a certain supercharge. In N = 4 SCFTs, the non-trivial cohomology classes are in one-to-one correspondence with certain half-BPS operators, provided that these operators are restricted to lie on a line. The relations we find are powerful enough to allow us to determine an infinite number of OPE coefficients in the interacting SCFT (U(2)[subscript 2] × U(1)[subscript −2] ABJ theory) that constitutes the IR limit of O(3) N = 8 super-Yang-Mills theory. More generally, in N = 8 SCFTs with a unique stress tensor, we are led to conjecture that many superconformal multiplets allowed by group theory must actually be absent from the spectrum, and we test this conjecture in known N = 8 SCFTs using the superconformal index. For generic N = 8 SCFTs, we also improve on numerical bootstrap bounds on OPE coefficients of short and semi-short multiplets and discuss their relation to the exact relations between OPE coefficients we derived. In particular, we show that the kink previously observed in these bounds arises from the disappearance of a certain quarter-BPS multiplet, and that the location of the kink is likely tied to the existence of the U(2)[subscript 2] × U(1)[subscript −2] AJ theory, which can be argued to not possess this multiplet.
Date issued
2015-03
URI
http://hdl.handle.net/1721.1/97165
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Chester, Shai M., Jaehoon Lee, Silviu S. Pufu, and Ran Yacoby. “Exact Correlators of BPS Operators from the 3d Superconformal Bootstrap.” J. High Energ. Phys. 2015, no. 3 (March 2015).
Version: Final published version
ISSN
1029-8479
1126-6708

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.