Self-dual formulations of d=3 gravity theories in the path-integral framework

Abstract

We study the connection, at the quantum level, between d=2+1 dimensional self-dual models with actions of growing (from first to fourth) order, governing the dynamics of helicity +2 (or -2) massive excitations. We obtain identities between generating functionals of the different models using the path-integral framework, this allowing to establish dual maps among relevant vacuum expectation values. We check consistency of these v.e.v.'s with the gauge invariance gained in each mapping.

26 pages. LaTeX. Minor changes. Published in Int. J Modern Phys. A; http://www.worldscinet.com/ijmpa

References in corpus (3)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Dual descriptions of spin two massive particles in $D=2+1$ via master actions