The quantum theory of Chern-Simons supergravity

Abstract We consider AdS 3 N-extended Chern-Simons supergravity (à la Achucarro-Townsend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable gauge-fixings. The resulting quantum theories have different features...

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Main Authors: L. Andrianopoli, B. L. Cerchiai, P. A. Grassi, M. Trigiante
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP06(2019)036
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author L. Andrianopoli
B. L. Cerchiai
P. A. Grassi
M. Trigiante
author_facet L. Andrianopoli
B. L. Cerchiai
P. A. Grassi
M. Trigiante
author_sort L. Andrianopoli
collection DOAJ
description Abstract We consider AdS 3 N-extended Chern-Simons supergravity (à la Achucarro-Townsend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable gauge-fixings. The resulting quantum theories have different features which we discuss in the present work. In particular, we show that a special choice of the gauge-fixing correctly reproduces the Ansatz by Alvarez, Valenzuela and Zanelli for the graphene fermion.
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spelling doaj.art-26d5575f0e3849e8ae43868546b89fbb2022-12-21T18:23:52ZengSpringerOpenJournal of High Energy Physics1029-84792019-06-012019612210.1007/JHEP06(2019)036The quantum theory of Chern-Simons supergravityL. Andrianopoli0B. L. Cerchiai1P. A. Grassi2M. Trigiante3DISAT, Politecnico di TorinoDISAT, Politecnico di TorinoDipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte OrientaleDISAT, Politecnico di TorinoAbstract We consider AdS 3 N-extended Chern-Simons supergravity (à la Achucarro-Townsend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable gauge-fixings. The resulting quantum theories have different features which we discuss in the present work. In particular, we show that a special choice of the gauge-fixing correctly reproduces the Ansatz by Alvarez, Valenzuela and Zanelli for the graphene fermion.http://link.springer.com/article/10.1007/JHEP06(2019)036BRST QuantizationChern-Simons Theories
spellingShingle L. Andrianopoli
B. L. Cerchiai
P. A. Grassi
M. Trigiante
The quantum theory of Chern-Simons supergravity
Journal of High Energy Physics
BRST Quantization
Chern-Simons Theories
title The quantum theory of Chern-Simons supergravity
title_full The quantum theory of Chern-Simons supergravity
title_fullStr The quantum theory of Chern-Simons supergravity
title_full_unstemmed The quantum theory of Chern-Simons supergravity
title_short The quantum theory of Chern-Simons supergravity
title_sort quantum theory of chern simons supergravity
topic BRST Quantization
Chern-Simons Theories
url http://link.springer.com/article/10.1007/JHEP06(2019)036
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