3D Gravity in a Box

Abstract: Known gravitational theories only have asymptotic boundary observables. To calculate more local quantities — and also to implement the conjectured holographic interpretation of the TTbar deformation — one can consider pure three-dimensional gravity on spacetimes with a boundary of finite size. I will describe how the covariant phase space framework can be used to calculate the Poisson bracket algebra of boundary observables. It is then possible to quantize this system, taking inspiration from the coadjoint orbit formalism. Working perturbatively in the large c expansion, we obtain the deformed Alekseev–Shatashvili symplectic form and action, as well as the energy spectrum which is consistent with the TTbar prediction up to order 1/√c.

HEP - theory

Audience: researchers in the topic

( video )

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USC High Energy Theory Seminars

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