On the universal behavior of -deformed CFTs: single and double-trace partition functions at large
arXiv:2301.04153 · doi:10.1007/JHEP05(2023)210
Abstract
We study universal properties of the torus partition function of -deformed CFTs under the assumption of modular invariance, for both the original version, referred to as the double-trace version in this paper, and the single-trace version defined as the symmetric product orbifold of double-trace -deformed CFTs. In the double-trace case, we specify sparseness conditions for the light states for which the partition function at low temperatures is dominated by the vacuum when the central charge of the undeformed CFT is large. Using modular invariance, this implies a universal density of high energy states, in analogy with the behavior of holographic CFTs. For the single-trace deformation, we show that modular invariance implies that the torus partition function can be written in terms of the untwisted partition function and its modular images, the latter of which can be obtained from the action of a generalized Hecke operator. The partition function and the energy of twisted states match holographic calculations in previous literature, thus providing further evidence for the conjectured holographic correspondence. In addition, we show that the single-trace partition function is universal when the central charge of the undeformed CFT is large, without needing to assume a sparse density of light states. Instead, the density of light states is shown to always saturate the sparseness condition.
arXiv comment26 pages; v2: added references, matches published version
References in corpus (35)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Black Hole Entropy from Near-Horizon Microstates
- The Kerr/CFT Correspondence
- On space of integrable quantum field theories
- -deformed 2D Quantum Field Theories
- Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
- Elliptic Genera of Symmetric Products and Second Quantized Strings
- Black hole microstates in AdS from supersymmetric localization
- Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS black holes
- Asymptotic Fragility, Near Holography and
- Solving the Simplest Theory of Quantum Gravity
- The deformation of quantum field theory as random geometry
- An integrable Lorentz-breaking deformation of two-dimensional CFTs
- Holography at finite cutoff with a deformation
- Modular invariance and uniqueness of deformed CFT
- Entanglement entropy and deformation
- and the mirage of a bulk cutoff
- Black holes in 4d Super-Yang-Mills
- deformed partition functions
- Natural Tuning: Towards A Proof of Concept
- Entanglement Entropy in -Deformed CFT
- Deformations, Massive Gravity and Non-Critical Strings
- deformed and String Theory
- deformed CFT as a non-critical string
- Strings on warped AdS via deformations
- -deformations, AdS/CFT and correlation functions
- TsT, and black strings
- Holographic integration of and via
- Phase transitions in symmetric orbifold CFTs and universality
- Entanglement and Rényi Entropy of Multiple Intervals in -Deformed CFT and Holography
- , , and deformations
- Marginal deformations of WZW models and the classical Yang-Baxter equation
- Heating up holography for single-trace deformations
- TsT, black holes, and
- Strings, Symmetric Products, deformations and Hecke Operators