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Title: Deformations of superconformal theories

Here, we classify possible supersymmetry-preserving relevant, marginal, and irrelevant deformations of unitary superconformal theories in d ≥ 3 dimensions. Our method only relies on symmetries and unitarity. Hence, the results are model independent and do not require a Lagrangian description. Two unifying themes emerge: first, many theories admit deformations that reside in multiplets together with conserved currents. Such deformations can lead to modifications of the supersymmetry algebra by central and noncentral charges. Second, many theories with a sufficient amount of supersymmetry do not admit relevant or marginal deformations, and some admit neither. The classification is complicated by the fact that short superconformal multiplets display a rich variety of sporadic phenomena, including supersymmetric deformations that reside in the middle of a multiplet. We illustrate our results with examples in diverse dimensions. In particular, we explain how the classification of irrelevant supersymmetric deformations can be used to derive known and new constraints on moduli-space effective actions.
Authors:
 [1] ;  [2] ;  [3]
  1. Institute for Advanced Study, Princeton, NJ (United States)
  2. Harvard Univ., Cambridge, MA (United States)
  3. Univ. of California, La Jolla, CA (United States)
Publication Date:
Grant/Contract Number:
SC0007870
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; conformal field theory; extended supersymmetry; field theories in higher dimensions; field theories in lower dimensions
OSTI Identifier:
1358549

Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. Deformations of superconformal theories. United States: N. p., Web. doi:10.1007/JHEP11(2016)135.
Córdova, Clay, Dumitrescu, Thomas T., & Intriligator, Kenneth. Deformations of superconformal theories. United States. doi:10.1007/JHEP11(2016)135.
Córdova, Clay, Dumitrescu, Thomas T., and Intriligator, Kenneth. 2016. "Deformations of superconformal theories". United States. doi:10.1007/JHEP11(2016)135. https://www.osti.gov/servlets/purl/1358549.
@article{osti_1358549,
title = {Deformations of superconformal theories},
author = {Córdova, Clay and Dumitrescu, Thomas T. and Intriligator, Kenneth},
abstractNote = {Here, we classify possible supersymmetry-preserving relevant, marginal, and irrelevant deformations of unitary superconformal theories in d ≥ 3 dimensions. Our method only relies on symmetries and unitarity. Hence, the results are model independent and do not require a Lagrangian description. Two unifying themes emerge: first, many theories admit deformations that reside in multiplets together with conserved currents. Such deformations can lead to modifications of the supersymmetry algebra by central and noncentral charges. Second, many theories with a sufficient amount of supersymmetry do not admit relevant or marginal deformations, and some admit neither. The classification is complicated by the fact that short superconformal multiplets display a rich variety of sporadic phenomena, including supersymmetric deformations that reside in the middle of a multiplet. We illustrate our results with examples in diverse dimensions. In particular, we explain how the classification of irrelevant supersymmetric deformations can be used to derive known and new constraints on moduli-space effective actions.},
doi = {10.1007/JHEP11(2016)135},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2016,
place = {United States},
year = {2016},
month = {11}
}