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

Abstract

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.

References in corpus (12)

• Spin Foam Models for Quantum Gravity
• Lectures on Loop Quantum Gravity
• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• On Diagonalization in Map(M,G)
• Ashtekar's formulation for $N=1,2$ supergravities as "constrained" BF theories
• Six Dimensional Topological Gravity and the Cosmological Constant Problem
• Even-dimensional topological gravity from Chern-Simons gravity
• Observables in Topological Yang-Mills Theories
• Four-dimensional topological Einstein-Maxwell gravity
• Symmetries and observables in topological gravity
• Topology, Quantum Gravity and Particle Physics
• Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry