Published August 2014
| Submitted + Published
Journal Article
Open
Covariant approaches to superconformal blocks
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.
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.Attached Files
Published - 10.1007_2FJHEP08_2014_129.pdf
Submitted - 1402.1167.pdf
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Additional details
- Eprint ID
- 80475
- Resolver ID
- CaltechAUTHORS:20170816-100454243
- SCOAP3
- DE-SC0009988
- Department of Energy (DOE)
- PHY-0756174
- NSF
- 228169
- European Research Council (ERC)
- 9500302471
- Department of Energy (DOE)
- Created
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2017-08-16Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field