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arXiv:2411.06261 · SciPost Physics

Locality and conserved charges in $T\overline{T}$-deformed CFTs

Ruben Monten, Richard M. Myers, Konstantinos Roumpedakis

Published Sep 30, 2025• 3 citations
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Abstract

We investigate the locality properties of T \overline T T T ¯ -deformed CFTs within perturbation theory. Up to third order in the deformation parameter, we find a Hamiltonian operator which solves the flow equation, reproduces the T\overline T T T ¯ energy spectrum, and is consistent with quasi-locality of the theory. This Hamiltonian includes terms proportional to the central charge which have not appeared before and which are necessary to reproduce the correct spectrum. We show that the Hamiltonian is not uniquely defined since it contains free parameters, starting at second order, which do not spoil the above properties. We then use it to determine the full conserved stress tensor. In our approach, the KdV charges are automatically conserved to all orders but are not a priori local. Nevertheless, we show that they can be made local to first order. Our techniques allow us to further comment on the space of Hamiltonians constructed from products of KdV charges which also flow to local charges in the deformed theory in the IR.

DOI
10.21468/scipostphys.19.3.082

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Locality and conserved charges in TT‾T\overline{T}TT-deformed CFTs
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On the flow of states under TT‾T\overline{T}TT
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On the flow of states under TT‾T\overline{T}TT
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