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2011

Massless particles on supergroups and AdS3 x S3 supergravity

Troost, Jan

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Firstly, we study the state space of a massless particle on a supergroup with a reparameterization invariant action.

After gauge fixing the reparameterization invariance, we compute the physical state space through the BRST cohomology and show that the quadratic Casimir Hamiltonian becomes diagonalizable in cohomology.
We illustrate the general mechanism in detail in the example of a supergroup target GL(1|1).
The space of physical states remains an indecomposable infinite dimensional representation of the space-time supersymmetry algebra.

Massless particles on supergroups and AdS3 x S3 supergravity · Around

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