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Title: Supersymmetric asymptotic safety is not guaranteed

Abstract

It was recently shown that certain perturbatively accessible, non-supersymmetric gauge-Yukawa theories have UV asymptotic safety, without asymptotic freedom: the UV theory is an interacting RG fixed point, and the IR theory is free. We here investigate the possibility of asymptotic safety in supersymmetric theories, and use unitarity bounds, and the a-theorem, to rule it out in broad classes of theories. The arguments apply without assuming perturbation theory. Therefore, the UV completion of a non-asymptotically free susy theory must have additional, non-obvious degrees of freedom, such as those of an asymptotically free (perhaps magnetic dual) extension.

Authors:
 [1];  [2]
  1. University of California, San Diego, La Jolla (United States). Department of Physics
  2. Univ. of Southern Denmark, Odense (Denmark). CP3-Origins & the Danish Institute for Advanced Study, Danish IAS
Publication Date:
Research Org.:
University of California, San Diego, La Jolla (United States). Department of Physics
Sponsoring Org.:
USDOE
OSTI Identifier:
1434588
Grant/Contract Number:  
SC0009919
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: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Supersymmetry and Duality; Supersymmetric gauge theory

Citation Formats

Intriligator, Kenneth, and Sannino, Francesco. Supersymmetric asymptotic safety is not guaranteed. United States: N. p., 2015. Web. doi:10.1007/JHEP11(2015)023.
Intriligator, Kenneth, & Sannino, Francesco. Supersymmetric asymptotic safety is not guaranteed. United States. doi:10.1007/JHEP11(2015)023.
Intriligator, Kenneth, and Sannino, Francesco. Thu . "Supersymmetric asymptotic safety is not guaranteed". United States. doi:10.1007/JHEP11(2015)023. https://www.osti.gov/servlets/purl/1434588.
@article{osti_1434588,
title = {Supersymmetric asymptotic safety is not guaranteed},
author = {Intriligator, Kenneth and Sannino, Francesco},
abstractNote = {It was recently shown that certain perturbatively accessible, non-supersymmetric gauge-Yukawa theories have UV asymptotic safety, without asymptotic freedom: the UV theory is an interacting RG fixed point, and the IR theory is free. We here investigate the possibility of asymptotic safety in supersymmetric theories, and use unitarity bounds, and the a-theorem, to rule it out in broad classes of theories. The arguments apply without assuming perturbation theory. Therefore, the UV completion of a non-asymptotically free susy theory must have additional, non-obvious degrees of freedom, such as those of an asymptotically free (perhaps magnetic dual) extension.},
doi = {10.1007/JHEP11(2015)023},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2015,
place = {United States},
year = {2015},
month = {11}
}

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