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arXiv · 1903.04431

The Quantum Theory of Chern-Simons Supergravity

L. Andrianopoli·B. L. Cerchiai·P. A. Grassi·M. Trigiante
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Abstract

We consider $AdS_3$ $N$-extended Chern-Simons supergravity (\`a la Achucarro-Tonswend) 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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L. Andrianopoli, B. L. Cerchiai, P. A. Grassi, M. Trigiante. 2019-03-11. The Quantum Theory of Chern-Simons Supergravity. https://doi.org/10.1007/jhep06(2019)036

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