Renormalization of supersymmetric chiral theories in rational spacetime dimensions

Gracey, JA ORCID: 0000-0002-9101-2853 (2022) Renormalization of supersymmetric chiral theories in rational spacetime dimensions European Physical Journal C, 82 (11). 1051-. ISSN 1434-6044, 1434-6052

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Abstract

We renormalize models with scalar chiral superfields with an odd superpotential to several orders in perturbation theory. These extensions of the cubic Wess–Zumino model are renormalizable in spacetime dimensions which are rational. When endowed with an O(N) symmetry it is shown that they share the same property as their non-supersymmetric counterparts in that at a particular fixed point there is an emergent OSp(1 | n- 1) symmetry, where n is the power of the superpotential. This is shown at a loop order beyond that for which it was established in the parallel non-supersymmetric theory.

Item Type:	Article
Uncontrolled Keywords:	5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 51 Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	01 Nov 2022 15:38
Last Modified:	24 Jan 2026 03:55
DOI:	10.1140/epjc/s10052-022-10972-z
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3165867
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