Bootstrapping SCFTs with four supercharges
Abstract
Here, we study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension 2 ≤ d ≤ 4. We show how superconformal algebras with four Poincaré supercharges can be treated in a formalism applicable to any, in principle continuous, value of d and use this to construct the superconformal blocks for any d ≤ 4. We then use numerical bootstrap techniques to derive upper bounds on the conformal dimension of the first unprotected operator appearing in the OPE of a chiral and an anti-chiral superconformal primary. We obtain an intriguing structure of three distinct kinks. We argue that one of the kinks smoothly interpolates between the d = 2, N=(2,2) minimal model with central charge c = 1 and the theory of a free chiral multiplet in d = 4, passing through the critical Wess-Zumino model with cubic superpotential in intermediate dimensions.
- Authors:
-
- Katholieke Univ. Leuven, (Belgium). Inst. for Theoretical Physics
- European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division; Paris-Sorbonne and Pierre-and-Marie Curie (UPMC) Univ., CNRS, UMR, Paris (France). Lab. of Theoretical and High Energy Physics (LPTHE)
- Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
- European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
- Publication Date:
- Research Org.:
- European Organization for Nuclear Research (CERN), Geneva (Switzerland); Brown Univ., Providence, RI (United States)
- Sponsoring Org.:
- USDOE; European Science Foundation (ESF); European Union (EU)
- OSTI Identifier:
- 1454592
- Grant/Contract Number:
- SC0010010; BOF/STG/14/032; PIEF-GA-2013-623606
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 8; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric gauge theory; Field Theories in Lower Dimensions; Conformal and W Symmetry
Citation Formats
Bobev, Nikolay, El-Showk, Sheer, Mazac, Dalimil, and Paulos, Miguel F. Bootstrapping SCFTs with four supercharges. United States: N. p., 2015.
Web. doi:10.1007/JHEP08(2015)142.
Bobev, Nikolay, El-Showk, Sheer, Mazac, Dalimil, & Paulos, Miguel F. Bootstrapping SCFTs with four supercharges. United States. https://doi.org/10.1007/JHEP08(2015)142
Bobev, Nikolay, El-Showk, Sheer, Mazac, Dalimil, and Paulos, Miguel F. Thu .
"Bootstrapping SCFTs with four supercharges". United States. https://doi.org/10.1007/JHEP08(2015)142. https://www.osti.gov/servlets/purl/1454592.
@article{osti_1454592,
title = {Bootstrapping SCFTs with four supercharges},
author = {Bobev, Nikolay and El-Showk, Sheer and Mazac, Dalimil and Paulos, Miguel F.},
abstractNote = {Here, we study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension 2 ≤ d ≤ 4. We show how superconformal algebras with four Poincaré supercharges can be treated in a formalism applicable to any, in principle continuous, value of d and use this to construct the superconformal blocks for any d ≤ 4. We then use numerical bootstrap techniques to derive upper bounds on the conformal dimension of the first unprotected operator appearing in the OPE of a chiral and an anti-chiral superconformal primary. We obtain an intriguing structure of three distinct kinks. We argue that one of the kinks smoothly interpolates between the d = 2, N=(2,2) minimal model with central charge c = 1 and the theory of a free chiral multiplet in d = 4, passing through the critical Wess-Zumino model with cubic superpotential in intermediate dimensions.},
doi = {10.1007/JHEP08(2015)142},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2015,
place = {United States},
year = {Thu Aug 27 00:00:00 EDT 2015},
month = {Thu Aug 27 00:00:00 EDT 2015}
}
Web of Science
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