PIRSA:22020055

$J\bar T$ - deformed CFTs as non-local CFTs

Guica, M. (2022). $J\bar T$ - deformed CFTs as non-local CFTs . Perimeter Institute. https://pirsa.org/22020055

Guica, Monica. $J\bar T$ - deformed CFTs as non-local CFTs . Perimeter Institute, Feb. 08, 2022, https://pirsa.org/22020055 

          @misc{ pirsa_PIRSA:22020055,
            doi = {10.48660/22020055},
            url = {https://pirsa.org/22020055},
            author = {Guica, Monica},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {$J\bar T$ - deformed CFTs as non-local CFTs },
            publisher = {Perimeter Institute},
            year = {2022},
            month = {feb},
            note = {PIRSA:22020055 see, \url{https://pirsa.org}}
          }

Monica Guica University of Paris-Saclay

DOI 10.48660/22020055
Collection
Talk Type Scientific Series
Subject

Abstract

TTbar and JTbar - deformed CFTs provide an interesting example of non-local, yet UV-complete two-dimensional QFTs that are entirely solvable. I will start by showing that both classes of theories possess Virasoro x Virasoro or Virasoro- Kac- Moody x Virasoro - Kac- Moody symmetry. For the case of JTbar, I will discuss the classical realization of these symmetries in terms of field-dependent coordinate transformations and show how the associated generators can be used to define an analogue of "primary" operators in this non-local theory, whose correlation functions are entirely fixed in terms of those of the undeformed CFT. In particular, two and three-point functions are simply given by the corresponding momentum-space correlator in the undeformed CFT, with all dimensions replaced by particular momentum-dependent conformal dimensions. Interestingly, scattering amplitudes off the near-horizon of extremal black holes are known to take a strikingly similar form.