States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds

Author:

Chakraborty Soumangsu Bhusan12,Georgescu Silvia13,Guica Monica451

Affiliation:

1. L'Institut de physique théorique

2. University of Amsterdam

3. École Polytechnique

4. European Organization for Nuclear Research

5. École Polytechnique Fédérale de Lausanne

Abstract

We derive various properties of symmetric product orbifolds of T\bar TTT and J\bar TJT - deformed CFTs from a field-theoretical perspective. First, we generalise the known formula for the torus partition function of a symmetric orbifold theory in terms of the one of the seed to non-conformal two-dimensional QFTs; specialising this to seed T\bar TTT and J\bar TJT - deformed CFTs reproduces previous results in the literature. Second, we show that the single-trace T\bar TTT and J\bar TJT deformations preserve the Virasoro and Kac-Moody symmetries of the undeformed symmetric product orbifold CFT, including their fractional counterparts, as well as the KdV charges. Finally, we discuss correlation functions in these theories. By extending a previously-proposed basis of operators for J\bar TJT - deformed CFTs to the single-trace case, we explicitly compute the correlation functions of both untwisted and twisted-sector operators and compare them to an appropriate set of holographic correlators. Our derivations are based mainly on Hilbert space techniques and completely avoid the use of conformal invariance, which is not present in these models.

Funder

HORIZON EUROPE Marie Sklodowska-Curie Actions

École Polytechnique, Université Paris-Saclay

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

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