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The journal of high energy physics, 2019-01, Vol.2019 (1), p.1-20
2019
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Autor(en) / Beteiligte
Titel
Modular covariance and uniqueness of J T ¯ \[ J\overline{T} \] deformed CFTs
Ist Teil von
  • The journal of high energy physics, 2019-01, Vol.2019 (1), p.1-20
Ort / Verlag
Heidelberg: Springer Nature B.V
Erscheinungsjahr
2019
Quelle
EZB Free E-Journals
Beschreibungen/Notizen
  • We study families of two dimensional quantum field theories, labeled by a dimensionful parameter μ, 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 μ is a function only of μ, and of the energy, momentum and charge of the corresponding state at μ = 0, where the theory becomes conformal. We show that under these conditions, the torus partition sum of the theory at μ = 0 uniquely determines the partition sum (and thus the spectrum) of the perturbed theory, to all orders in μ, to be that of a μJT¯\[ \mu J\overline{T} \] deformed conformal field theory (CFT). We derive a flow equation for the JT¯\[ J\overline{T} \] deformed partition sum, and use it to study non-perturbative effects. We find non-perturbative ambiguities for any non-zero value of μ, and comment on their possible relations to holography.
Sprache
Englisch
Identifikatoren
eISSN: 1029-8479
DOI: 10.1007/JHEP01(2019)085
Titel-ID: cdi_proquest_journals_2166308448

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