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

Abstract

We derive various properties of symmetric product orbifolds of $T\bar{T}$ and $J\bar{T}$ - 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 $T\bar{T}$ and $J\bar{T}$ - deformed CFTs reproduces previous results in the literature. Second, we show that the single-trace $T\bar{T}$ and $J\bar{T}$ 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 $J\bar{T}$ - 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.

arXiv comment50 pp, 5 figures

References in corpus (71)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Kerr/CFT Correspondence
• On space of integrable quantum field theories
• The D1/D5 System And Singular CFT
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Microscopic Formulation of Black Holes in String Theory
• Nonrelativistic conformal field theories
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• More Comments on String Theory on AdS_3
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• The Worldsheet Dual of the Symmetric Product CFT
• Solving the Simplest Theory of Quantum Gravity
• Emergent Spacetime and Holographic CFTs
• Cutoff AdS${}_3$ versus the $T\bar{T}$ deformation
• $T\bar{T}$ Partition Function from Topological Gravity
• Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Tensionless String Spectra on ${\mathrm{AdS}}_3$
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• Phases of Quantum Gravity in AdS3 and Linear Dilaton Backgrounds
• $T\bar{T}$ and the mirage of a bulk cutoff
• Holography Beyond AdS
• $T\bar{T}$ deformed partition functions
• Instanton Strings and HyperKaehler Geometry
• Green-Schwarz Strings in TsT-transformed backgrounds
• Characters and modular properties of permutation orbifolds
• Superstrings on AdS_3 and Symmetric Products
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Natural Tuning: Towards A Proof of Concept
• Holography for Schrodinger backgrounds
• Partition functions and elliptic genera from supergravity
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• The holographic interpretation of $J\bar{T}$-deformed CFTs
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Strings on warped AdS${}_3$ via $T\bar{J}$ deformations
• $T\bar{T}$-deformations, AdS/CFT and correlation functions
• TsT, $T\bar{T}$ and black strings
• Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory
• Correlators of the symmetric product orbifold
• Holographic description of non-supersymmetric orbifolded D1-D5-P solutions
• Permutation orbifolds
• String Theory on AdS Orbifolds
• Permutation orbifolds and holography
• On correlation functions in $J\bar{T}$-deformed CFTs
• The Spectrum of Strings on Warped AdS_3 x S^3
• $T\bar{T}$ and LST
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• $T\bar{T},J\bar{T}$, $T\bar{J}$ Partition Sums From String Theory
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Living with the Wrong Sign
• Thermal Correlation Functions of KdV Charges in 2D CFT
• Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Heating up holography for single-trace $J\bar{T}$ deformations
• The OPE of bare twist operators in bosonic $S_N$ orbifold CFTs at large $N$
• Solving a family of $T\bar{T}$-like theories
• S-duality in $T\bar{T}$-deformed CFT
• Strings, Symmetric Products, $T\bar{T}$ deformations and Hecke Operators
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• A general definition of $J{T}_a$ -- deformed QFTs
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
• Classical and quantum symmetries of $T\bar{T}$-deformed CFTs
• Symmetries versus the spectrum of $J\bar{T}$-deformed CFTs
• $J\bar{T}$-deformed CFTs as non-local CFTs
• Correlation Functions in the TsT/$T\bar{T}$ Correspondence
• $\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$
• Comments on the negative specific heat of the $T\bar{T}$ deformed symmetric product CFT

Cited by in corpus (8)

• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Systematic approach to correlators in $T\bar{T}$ deformed CFTs
• Correlation Functions in $\text{T}\bar{\text{T}}$-deformed Theories on the Torus
• String Duals of Two-Dimensional Yang-Mills and Symmetric Product Orbifolds
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$