Deformations of supergravity and supersymmetry anomalies

Abstract We present a BRST analysis of supersymmetry anomalies of N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of the matter theory to classical N $$ \mathcal{N} $$ = 1 new minimal supergravity. We point out that a sup...

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Autores principales:	Markus B. Fröb, Camillo Imbimbo, Nicolò Risso
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Anomalies in Field and String Theories BRST Quantization Supergravity Models Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/72387deb10e1433da4d0c3b0f04e3605
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spelling	oai:doaj.org-article:72387deb10e1433da4d0c3b0f04e36052021-12-05T12:25:21ZDeformations of supergravity and supersymmetry anomalies10.1007/JHEP12(2021)0091029-8479https://doaj.org/article/72387deb10e1433da4d0c3b0f04e36052021-12-01T00:00:00Zhttps://doi.org/10.1007/JHEP12(2021)009https://doaj.org/toc/1029-8479Abstract We present a BRST analysis of supersymmetry anomalies of N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of the matter theory to classical N $$ \mathcal{N} $$ = 1 new minimal supergravity. We point out that a supersymmetry anomaly cocycle associated to the U(1)R field does exist for this theory. It is non-trivial in the space of supergravity fields (and ghosts), but it becomes BRST-exact in the functional space that includes antifields. Equivalently, the U(1)R supersymmetry anomaly cocycle vanishes “on-shell”. It is therefore removable. However, to remove it — precisely because it is not trivial in the smaller space of fields — one needs to deform the supergravity BRST operator. This deformation is triggered, at first order in the anomaly coefficient, by a local operator S 1 of ghost number 1. We give a cohomological characterization of S 1 and compute it in full detail. At higher orders in the anomaly coefficient, we expect a priori that further deformations of the BRST rules are necessary.Markus B. FröbCamillo ImbimboNicolò RissoSpringerOpenarticleAnomalies in Field and String TheoriesBRST QuantizationSupergravity ModelsSupersymmetric Gauge TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 12, Pp 1-28 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Anomalies in Field and String Theories BRST Quantization Supergravity Models Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Anomalies in Field and String Theories BRST Quantization Supergravity Models Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Markus B. Fröb Camillo Imbimbo Nicolò Risso Deformations of supergravity and supersymmetry anomalies
description	Abstract We present a BRST analysis of supersymmetry anomalies of N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of the matter theory to classical N $$ \mathcal{N} $$ = 1 new minimal supergravity. We point out that a supersymmetry anomaly cocycle associated to the U(1)R field does exist for this theory. It is non-trivial in the space of supergravity fields (and ghosts), but it becomes BRST-exact in the functional space that includes antifields. Equivalently, the U(1)R supersymmetry anomaly cocycle vanishes “on-shell”. It is therefore removable. However, to remove it — precisely because it is not trivial in the smaller space of fields — one needs to deform the supergravity BRST operator. This deformation is triggered, at first order in the anomaly coefficient, by a local operator S 1 of ghost number 1. We give a cohomological characterization of S 1 and compute it in full detail. At higher orders in the anomaly coefficient, we expect a priori that further deformations of the BRST rules are necessary.
format	article
author	Markus B. Fröb Camillo Imbimbo Nicolò Risso
author_facet	Markus B. Fröb Camillo Imbimbo Nicolò Risso
author_sort	Markus B. Fröb
title	Deformations of supergravity and supersymmetry anomalies
title_short	Deformations of supergravity and supersymmetry anomalies
title_full	Deformations of supergravity and supersymmetry anomalies
title_fullStr	Deformations of supergravity and supersymmetry anomalies
title_full_unstemmed	Deformations of supergravity and supersymmetry anomalies
title_sort	deformations of supergravity and supersymmetry anomalies
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/72387deb10e1433da4d0c3b0f04e3605
work_keys_str_mv	AT markusbfrob deformationsofsupergravityandsupersymmetryanomalies AT camilloimbimbo deformationsofsupergravityandsupersymmetryanomalies AT nicolorisso deformationsofsupergravityandsupersymmetryanomalies
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Deformations of supergravity and supersymmetry anomalies

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