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Tbar{T} deformed partition functions

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arxiv 1806.07426 v4 pith:D6KPWLEF submitted 2018-06-19 hep-th

Tbar{T} deformed partition functions

classification hep-th
keywords deformedfunctionsmodularpartitionpropertiestheoriesasymptoticbehaviours
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We demonstrate the presence of modular properties in partition functions of $T\bar{T}$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of the asymptotic density of states in these theories, which turns out to interpolate between Cardy and Hagedorn behaviours. We also point out a sub-sector of the spectrum that remains undeformed under the $T\bar{T}$ flow. Finally, we comment on the deformation of the CFT vacuum character and its implications for the holographic dual.

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Cited by 8 Pith papers

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