# Current Themes in High Energy Physics and Cosmology

Aug 17 – 21, 2015
Europe/Copenhagen timezone

## Thermofield Dynamics and Gravity

Aug 20, 2015, 11:30 AM
1h

### Speaker

Parameswaran Nair

### Description

I will discuss thermofield dynamics in terms of a path-integral using coherent states, and also in terms of a field theoretic formulation on a manifold ${\mathcal M} \times {\tilde{\mathcal M}}$ where the two components have opposite orientation. As an application, a formulation of gravitational dynamics for noncommutative geometry using thermofield dynamics, with a doubling the Hilbert space modeling the noncommutative space will be considered. For 2+1 dimensions, since ${\mathcal M}$ and ${\tilde{\mathcal M}}$ have the opposite orientation, the commutative limit leads to the Einstein-Hilbert action as the difference of two Chern-Simons actions.

 Slides