The Quantum Theory of Chern-Simons Supergravity

Abstract

We consider $Ad{S}_3$ $N$-extended Chern-Simons supergravity (à 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.

arXiv comment25 pages. Some points clarified and conclusion section extended; content of sections 3 and 4 reorganized. Version to be published on JHEP

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Cited by in corpus (8)

• $\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene
• Chiral gauge theory and gravity from unconventional supersymmetry
• $\mathcal{N}=2$ AdS${}_4$ supergravity, holography and Ward identities
• Massless Rarita-Schwinger equations: Half and three halves spin solution
• Unconventional Supersymmetry via the Dressing Field Method
• Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework
• On the geometric approach to the boundary problem in supergravity
• 3D Supergravity in the Batalin-Vilkovisky Formalism