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

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

2011-01-11

arxiv.org/abs/1101.2110v2

Int.J.Mod.Phys.A26:2437-2459,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X11053377

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.

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