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Minimal AdS-Lorentz supergravity in three-dimensions

Octavio FierroDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Rivera 2850, Concepción, ChileFernando IzaurietaDepartamento de Física, Universidad de Concepción, casilla 160-C, Concepción, ChileP. SalgadoDepartamento de Física, Universidad de Concepción, casilla 160-C, Concepción, ChileOmar ValdiviaFacultad de Ingeniería y Arquitectura, Universidad Arturo Prat, Iquique, Chile
2018en
ABI

Аннотация

The N=1 AdS-Lorentz superalgebra is studied and its relationship to semigroup expansion developed. Using this mathematical tool, the invariant tensors and Casimir operators are found. In terms of these invariants, a three-dimensional Chern–Simons supergravity action with AdS-Lorentz symmetry is constructed. The Killing spinors for a BTZ black-hole like solution of the theory are discussed.

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