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- W3100100355 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 $mu Jbar T$ deformed conformal field theory (CFT). We derive a flow equation for the $Jbar{T}$ 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." @default.
- W3100100355 created "2020-11-23" @default.
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- W3100100355 date "2019-01-01" @default.
- W3100100355 modified "2023-10-17" @default.
- W3100100355 title "Modular covariance and uniqueness of $$ Joverline{T} $$ deformed CFTs" @default.
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- W3100100355 doi "https://doi.org/10.1007/jhep01(2019)085" @default.
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