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Covariant approaches to superconformal blocks

Fitzpatrick, A. Liam and Kaplan, Jared and Khandker, Zuhair U. and Li, Daliang and Poland, David and Simmons-Duffin, David (2014) Covariant approaches to superconformal blocks. Journal of High Energy Physics, 2014 (8). Art. No. 129. ISSN 1029-8479. https://resolver.caltech.edu/CaltechAUTHORS:20170816-100454243

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Abstract

We develop techniques for computing superconformal blocks in 4d superconformal field theories. First we study the super-Casimir differential equation, deriving simple new expressions for superconformal blocks for 4-point functions containing chiral operators in theories with NN -extended supersymmetry. We also reproduce these results by extending the “shadow formalism” of Ferrara, Gatto, Grillo, and Parisi to supersymmetric theories, where superconformal blocks can be represented as superspace integrals of three-point functions multiplied by shadow three-point functions.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP08(2014)129DOIArticle
https://arxiv.org/abs/1402.1167arXivDiscussion Paper
ORCID:
AuthorORCID
Poland, David0000-0003-3854-2430
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:© 2014 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: May 12, 2014. Accepted: July 30, 2014. Published: August 25, 2014. Article funded by SCOAP3. We thank D. Skinner for essential discussions at the initial stages of this project. We are also grateful to C. Beem, K. Intriligator, L. Rastelli, and A. Stergiou for discussions. We additionally thank the organizers of the “Back to the Bootstrap 2” workshop at the Perimeter Institute and the “Back to the Bootstrap 3” workshop at CERN for facilitating discussions related to this work. DSD was supported by DOE grant DE-SC0009988. JK was supported in part by the National Science Foundation grant PHY-0756174. ALF was partially supported by ERC grant BSMOXFORD no. 228169. ZUK is supported by DOE grant 9500302471.
Funders:
Funding AgencyGrant Number
SCOAP3UNSPECIFIED
Department of Energy (DOE)DE-SC0009988
NSFPHY-0756174
European Research Council (ERC)228169
Department of Energy (DOE)9500302471
Issue or Number:8
Record Number:CaltechAUTHORS:20170816-100454243
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170816-100454243
Official Citation:Fitzpatrick, A.L., Kaplan, J., Khandker, Z.U. et al. J. High Energ. Phys. (2014) 2014: 129. https://doi.org/10.1007/JHEP08(2014)129
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80475
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Aug 2017 22:50
Last Modified:20 Nov 2020 20:10

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