Time: 10:00-12:00, Apr. 23, 2025

Location: Rm 401, Kavli ITS, UCAS

Speaker: Jia Tian (Shanxi Univ.)

Abstract:

This talk is about the systematic study of the  inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds.

A classification of inhomogeneous Hamiltonians based on the Virasoro coadjoint orbit. The corresponding bulk dual geometries are described by the generalized Banados solutions, for which introduce a generalized Roberts mapping to facilitate their study. The method of classification provides previously underexplored classes of deformations, offering fresh insights into their holographic properties. Revisiting the well-known example of the Mobius Hamiltonian, therefore establish a connection to the 3D C-metric, which describes three-dimensional accelerating solutions.

Furthermore, we extend the analysis to KdV-type asymptotic boundary conditions, revealing a broader class of solvable inhomogeneous Hamiltonians that are not linear combinations of Virasoro charges but instead involve KdV charges.