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T bar{T},J bar T, T bar{J} Partition Sums From String Theory
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T bar{T},J bar T, T bar{J} Partition Sums From String Theory
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We calculate the torus partition sum of a general $CFT_2$ with left and right moving conserved currents $J$ and $\bar J$, perturbed by a combination of the irrelevant operators $T\bar T$, $J\bar T$ and $T\bar J$. We use string theory techniques to write it as an integral transform of the partition sum of the unperturbed CFT with chemical potentials for the left and right moving conserved charges. The resulting expression transforms in the right way under the modular group, and reproduces the known spectrum of these models. We also derive a formula for the partition function of deformed $CFT_2$ with non-vanishing chemical potential.
Forward citations
Cited by 4 Pith papers
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$J\bar{J}$-deformation as a Riemann bilinear dressing
Reformulates J bar J deformation in CFTs as a Riemann bilinear dressing that converts perturbation theory into operator dressings and modular-invariant kernel integrals on Riemann surfaces.
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$J\bar{J}$-deformation as a Riemann bilinear dressing
Reformulates J bar J deformation in CFTs as Riemann-bilinear operator dressing that preserves modular properties on Riemann surfaces and matches bare/renormalized perturbation theory.
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Beyond Hagedorn: A Harmonic Approach to $T\bar{T}$-deformation
TTbar-deformed CFT torus partition functions are expressed via spectral decomposition into Maass forms that deform simply, enabling analytic continuation beyond the Hagedorn singularity.
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$\boldsymbol{T\overline{T}}$ correlators from tensionless strings
Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.
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