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The quantum theory of Chern-Simons supergravity

  • L. Andrianopoli
  • B. L. CerchiaiEmail author
  • P. A. Grassi
  • M. Trigiante
Open Access
Regular Article - Theoretical Physics

Abstract

We consider AdS3N-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.

Keywords

BRST Quantization Chern-Simons Theories 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.DISAT, Politecnico di TorinoTorinoItaly
  2. 2.Dipartimento di Scienze e Innovazione TecnologicaUniversità del Piemonte OrientaleAlessandriaItaly
  3. 3.INFN, Sezione di TorinoTorinoItaly
  4. 4.Arnold-Regge CenterTorinoItaly
  5. 5.Centro Fermi, Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”RomaItaly

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