Topological Gravity on (D,N)-Shift Superspace Formulation

Article, Preprint English OPEN
Lourenço, J. A. ; Neto, J. A. Helayël ; Spalenza, W. (2018)
  • Publisher: Hindawi
  • Journal: Advances in High Energy Physics (issn: 1687-7357, eissn: 1687-7365)
  • Related identifiers: doi: 10.1155/2018/2786081
  • Subject: Physics | High Energy Physics - Theory | QC1-999 | Article Subject
    arxiv: General Relativity and Quantum Cosmology | High Energy Physics::Theory | High Energy Physics::Lattice

In this contribution, we re-assess the subject of topological gravity by following the Shift Supersymmetry formalism. The gauge-fixing of the theory goes under the Batallin-Vilkovisky (BV) prescription based on a diagram that contains both ghost and anti-ghost superfields, associated to the super-vielbein and the super-Lorentz connection. We extend the formulation of the topological gravity action to an arbitrary number of dimensions of the shift superspace by adopting a formulation based on the gauge-fixing for BF-type models.
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