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Anomalous supersymmetry

Anomalous supersymmetry
Anomalous supersymmetry
We show that supersymmetry is anomalous in N=1 superconformal quantum field theories (SCFTs) with an anomalous R symmetry. This anomaly was originally found in holographic SCFTs at strong coupling. Here we show that this anomaly is present, in general, and demonstrate it for the massless superconformal Wess-Zumino model via a one-loop computation. The anomaly appears first in four-point functions of two supercurrents either with two R currents or with an R current and an energy-momentum tensor. In fact, the Wess-Zumino consistency conditions together with the standard R-symmetry anomaly imply the existence of the anomaly. We outline the implications of this anomaly.
1079-7114
1-6
Katsianis, Georgios
ee1fe6fa-951b-498e-b562-7ed6ed8ea4c4
Papadimitriou, Ioannis
61aeb3c8-7ab7-44db-a3ee-846392b997ba
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Katsianis, Georgios
ee1fe6fa-951b-498e-b562-7ed6ed8ea4c4
Papadimitriou, Ioannis
61aeb3c8-7ab7-44db-a3ee-846392b997ba
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Katsianis, Georgios, Papadimitriou, Ioannis, Skenderis, Kostas and Taylor, Marika (2019) Anomalous supersymmetry. Physical Review Letters, 122 (23), 1-6, [231602]. (doi:10.1103/PhysRevLett.122.231602).

Record type: Article

Abstract

We show that supersymmetry is anomalous in N=1 superconformal quantum field theories (SCFTs) with an anomalous R symmetry. This anomaly was originally found in holographic SCFTs at strong coupling. Here we show that this anomaly is present, in general, and demonstrate it for the massless superconformal Wess-Zumino model via a one-loop computation. The anomaly appears first in four-point functions of two supercurrents either with two R currents or with an R current and an energy-momentum tensor. In fact, the Wess-Zumino consistency conditions together with the standard R-symmetry anomaly imply the existence of the anomaly. We outline the implications of this anomaly.

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Accepted/In Press date: 16 May 2019
e-pub ahead of print date: 14 June 2019
Published date: 14 June 2019

Identifiers

Local EPrints ID: 431927
URI: http://eprints.soton.ac.uk/id/eprint/431927
ISSN: 1079-7114
PURE UUID: d1f01607-da43-4ed1-8af7-1c75dd07a1a7
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

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Date deposited: 21 Jun 2019 16:30
Last modified: 17 Dec 2019 01:39

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