Details

Autor(en) / Beteiligte

• Aharony, Ofer
• Datta, Shouvik
• Giveon, Amit
• Jiang, Yunfeng
• Kutasov, David

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 Electronic Journals Library

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.