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Talk1 h 17 min

Correlation functions in TT*-deformed conformal field theories

Ofer Aharony · CERN

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About

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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The talk

  1. Correlation functions in TT*-deformed conformal field theories 2023-10-09 · 1 h 17 min · CERN's player

Credits and licence

Institution
CERN
Department
TH String Theory Seminar
Speaker
Ofer Aharony
Year
2023
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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