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.
T T , JT , TJpartition sums from string theory
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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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$J\bar{J}$-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.