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arxiv 2002.04824 v2 pith:EIWCQHOF submitted 2020-02-12 hep-th

KdV Charges and the Generalized Torus Partition Sum in T{bar T} deformation

classification hep-th
keywords fieldfunctionsgeneralizedmodularone-pointpartitiontheorytorus
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider KdV currents in a quantum field theory obtained by deforming a two dimensional conformal field theory on a cylinder via the irrelevant operator $T{\bar T}$. In this paper we determine their one-point functions modular properties. We find that the one-point functions factorize into two components each with a definite modular weight. We also obtain a general differential equation that the generalized torus partition sum satisfies.

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  1. Correlators in $T\bar{T}$ and Root-$T\bar{T}$ Deformed CFTs

    hep-th 2026-04 unverdicted novelty 6.0

    Deformed two-point correlators in mixed TbarT/root-TbarT CFTs admit an explicit kernel representation as weighted averages of undeformed CFT correlators over conformal dimensions, with the two-point function obtained ...