Presented By: Leinweber Center for Theoretical Physics
HET Seminar  Correlation functions in TT*deformed conformal field theories
Ofer Aharony (Weizmann/IAS)
I will begin by reviewing the movitations for studying the TT* deformation of two dimensional field theories, the original formulation of this deformation, and its formulation in terms of JackiwTeitelboim gravity. Then I will discuss how to compute correlation functions of local operators using this formulation, in which the position of the operators is defined using the dynamical coordinates of the formalism. I will focus on the largemomentum behavior of the twopoint function when the undeformed theory is a conformal field theory. The main result (based on 2304.14091) is that for momentum q it is given by q^{q^2 t/\pi}, where t is the deformation parameter. Interestingly, the sign of the exponent is different than previous computations which resummed the small momentum expansion. The decay at large momentum manifests the nonlocality of the theory, which also appears through the fact that operators with different momentum require a different multiplicative renormalization, and that the largemomentum behavior of the correlation function on the torus is different from the behavior mentioned above on the plane.
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