Speaker
Monica Guica
(Paris Saclay)
Description
I will discuss the classical and quantum symmetries of TTbar-deformed CFTs. These symmetries are infinite in number and, in a certain basis, organise into a Virasoro x Virasoro algebra with the same central charge as that of the undeformed CFT. I will present a quantum, abstract proof of the existence of these symmetries and three different - and fully explicit - classical perspectives: Hamiltonian, Lagrangian and holographic. Finally, I will show that the asymptotic symmetries of the three-dimensional asymptotically linear dilaton background in string theory, which is conjecturally dual to the "single-trace" TTbar deformation, take an identical form to those of TTbar-deformed CFTs, thus further strengthening this proposed connection.