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Title: Supersymmetric asymptotic safety is not guaranteed

Journal Article · · Journal of High Energy Physics (Online)
 [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

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.

Research Organization:
University of California, San Diego, La Jolla (United States). Department of Physics
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0009919
OSTI ID:
1434588
Journal Information:
Journal of High Energy Physics (Online), Vol. 2015, Issue 11; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 35 works
Citation information provided by
Web of Science

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Cited By (17)

Conformal gauge-Yukawa theories away from four dimensions journal July 2016
Ideal walking dynamics via a gauged NJL model journal July 2017
Conformal phase diagram of complete asymptotically free theories journal October 2017
Is scale-invariance in gauge-Yukawa systems compatible with the graviton? journal October 2017
Viability of quantum-gravity induced ultraviolet completions for matter journal October 2017
Phase structure of completely asymptotically free SU( N c ) models with quarks and scalar quarks journal March 2018
Theorems for asymptotic safety of gauge theories journal June 2017
Naturalness of Asymptotically Safe Higgs journal October 2017
An Asymptotically Safe Guide to Quantum Gravity and Matter journal January 2019
Quantum Critical Behaviour of Semi-Simple Gauge Theories text January 2015
Asymptotically safe and free chiral theories with and without scalars text January 2016
Asymptotically Safe Grand Unification text January 2016
Viability of quantum-gravity induced ultraviolet completions for matter text January 2017
Asymptotic safety guaranteed in supersymmetry text January 2017
An asymptotically safe guide to quantum gravity and matter preprint January 2018
A complete asymptotically safe embedding of the Standard Model text January 2018
Analytic Coupling Structure of Large $N_f$ (Super) QED and QCD text January 2019

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