# Correlation functions in TT*-deformed conformal field theories

- Institution: CERN
- Department: TH String Theory Seminar
- Speaker: Ofer Aharony
- Year: 2023
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3014449)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

I will begin by reviewing the TT* deformation of two dimensional field theories, and its formulation in terms of Jackiw-Teitelboim 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 large-momentum behavior of the two-point 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/\pi |\Lambda|}, where 1/|\Lambda| 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 non-locality of the theory, which also appears through the fact that operators with different momentum require a different multiplicative renormalization, and that the large-momentum behavior of the correlation function on the torus is different from the behavior mentioned above on the plane. .

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## Lectures

1. [Correlation functions in TT*-deformed conformal field theories](https://invisiblenetwork.ai/learn/cern/3014449/8c8218c9cec7), 1 h 17 min (CERN's player)