In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the N = 2 supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of the relativistic Abelian N = 1 supersymmetric QED in 3+1 dimensions and study its renormalization properties directly in non-relativistic superspace. Despite the existence of a non-renormalization theorem induced by the causal structure of the non-relativistic dynamics, we find that the theory is non-renormalizable. Infinite dimensionless, supersymmetric and gauge-invariant terms, which combine into an analytic function, are generated at quantum level. Renormalizability is then restored by generalizing the theory to a non-linear sigma model where the usual minimal coupling between gauge and matter is complemented by infinitely many marginal couplings driven by a dimensionless gauge scalar and its fermionic superpartner. Superconformal invariance is preserved in correspondence of a non-trivial conformal manifold of fixed points where the theory is gauge-invariant and interacting.

Baiguera, S., Cederle, L., Penati, S. (2022). Supersymmetric Galilean Electrodynamics. JOURNAL OF HIGH ENERGY PHYSICS, 2022(9) [10.1007/JHEP09(2022)237].

Supersymmetric Galilean Electrodynamics

Baiguera S.
;
Penati S.
2022

Abstract

In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the N = 2 supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of the relativistic Abelian N = 1 supersymmetric QED in 3+1 dimensions and study its renormalization properties directly in non-relativistic superspace. Despite the existence of a non-renormalization theorem induced by the causal structure of the non-relativistic dynamics, we find that the theory is non-renormalizable. Infinite dimensionless, supersymmetric and gauge-invariant terms, which combine into an analytic function, are generated at quantum level. Renormalizability is then restored by generalizing the theory to a non-linear sigma model where the usual minimal coupling between gauge and matter is complemented by infinitely many marginal couplings driven by a dimensionless gauge scalar and its fermionic superpartner. Superconformal invariance is preserved in correspondence of a non-trivial conformal manifold of fixed points where the theory is gauge-invariant and interacting.
Articolo in rivista - Articolo scientifico
Extended Supersymmetry; Field Theories in Lower Dimensions; Renormalization and Regularization; Supersymmetric Gauge Theory;
English
28-set-2022
2022
2022
9
237
open
Baiguera, S., Cederle, L., Penati, S. (2022). Supersymmetric Galilean Electrodynamics. JOURNAL OF HIGH ENERGY PHYSICS, 2022(9) [10.1007/JHEP09(2022)237].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/468580
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