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

Abstract

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.

arXiv comment16 pages, published version

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Cited by in corpus (9)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• $T\bar{T}$-flow effects on torus partition functions
• Entropic c-functions in $T\bar{T},J\bar{T},T\bar{J}$ deformations
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• KdV conformal symmetry breaking in nearly AdS${}_2$
• Moving holographic boundaries