TTbar-deformed CFT torus partition functions are expressed via spectral decomposition into Maass forms that deform simply, enabling analytic continuation beyond the Hagedorn singularity.
Modular covariance and uniqueness ofJ ¯T deformed CFTs
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abstract
We study families of two dimensional quantum field theories, labeled by a dimensionful parameter $\mu$, that contain a holomorphic conserved $U(1)$ current $J(z)$. We assume that these theories can be consistently defined on a torus, so their partition sum, with a chemical potential for the charge that couples to $J$, is modular covariant. We further require that in these theories, the energy of a state at finite $\mu$ is a function only of $\mu$, and of the energy, momentum and charge of the corresponding state at $\mu=0$, where the theory becomes conformal. We show that under these conditions, the torus partition sum of the theory at $\mu=0$ uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in $\mu$, to be that of a $\mu J\bar T$ deformed conformal field theory (CFT). We derive a flow equation for the $J\bar{T}$ deformed partition sum, and use it to study non-perturbative effects. We find non-perturbative ambiguities for any non-zero value of $\mu$, and comment on their possible relations to holography.
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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.
Constructs anomaly-preserving double-current deformations of 2D QFTs via dynamical gauge and Stueckelberg fields, reducing to a holonomy integral kernel that yields a Gaussian transform for the compact boson partition function.
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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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Double-Current Deformations of Two-Dimensional QFTs with Anomalies
Constructs anomaly-preserving double-current deformations of 2D QFTs via dynamical gauge and Stueckelberg fields, reducing to a holonomy integral kernel that yields a Gaussian transform for the compact boson partition function.