Seminarium Wirtualne GQFI-WST

I will describe the T^2 deformation of large N conformal field theories, a higher dimensional generalization of the TT-deformation. The deformed partition function satisfies a flow equation of the diffusion type. I will explain how to solve this equation by finding its diffusion kernel, which is given by the Euclidean gravitational path integral in d+1 dimensions between two boundaries with Dirichlet boundary conditions for the metric. An interesting output of the flow equation is the gravitational path integral measure which is consistent with a constrained phase space quantization. Finally, I will comment on the relation between the radial wave function and the Hartle-Hawking wave functions dual to states in the CFT, and propose a way of obtaining the volume of the maximal slice from the T^2 deformation. Link: https://mpi-aei.zoom.us/j/99886810643