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Solving a family of TT-like theories

2019/03/18 by Bruno Le Floch, Floch, Bruno Le, Márk Mezei +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1903.07606

openalex publication_date 2019/03/18 · openalex created_date 2019/03/22 · openalex updated_date 2026/07/28

Abstract

We deform two-dimensional quantum field theories by antisymmetric combinations of their conserved currents that generalize Smirnov and Zamolodchikov's TT deformation. We obtain that energy levels on a circle obey a transport equation analogous to the Burgers equation found in the TT case. This equation relates charges at any value of the deformation parameter to charges in the presence of a (generalized) Wilson line. We determine the initial data and solve the transport equations for antisymmetric combinations of flavor symmetry currents and the stress tensor starting from conformal field theories. Among the theories we solve is a conformal field theory deformed by JT and TT simultaneously. We check our answer against results from AdS/CFT.

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