The quantum theory of Chern-Simons supergravity

L. Andrianopoli; B. L. Cerchiai; P. A. Grassi; M. Trigiante

doi:10.1007/JHEP06(2019)036

The quantum theory of Chern-Simons supergravity

L. Andrianopoli
, B. L. Cerchiai
, P. A. Grassi
, M. Trigiante

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	36
Journal	Journal of High Energy Physics
Volume	2019
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2019)036
Publication status	Published - 1 Jun 2019

Keywords

BRST Quantization
Chern-Simons Theories

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10.1007/JHEP06(2019)036

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abstract = "We consider AdS3N-extended Chern-Simons supergravity ({\`a} 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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AU - Cerchiai, B. L.

AU - Grassi, P. A.

AU - Trigiante, M.

PY - 2019/6/1

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N2 - 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.

AB - 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.

KW - BRST Quantization

KW - Chern-Simons Theories

UR - https://www.scopus.com/pages/publications/85067263409

U2 - 10.1007/JHEP06(2019)036

DO - 10.1007/JHEP06(2019)036

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VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 36

ER -

The quantum theory of Chern-Simons supergravity

Abstract

Keywords

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