Warped Weyl fermion partition functions

Abstract

Warped conformal field theories (WCFTs) are a novel class of non-relativistic theories. A simple, yet non-trivial, example of such theory is a massive Weyl fermion in $(1+1)$-dimensions, which we study in detail. We derive general properties of the spectrum and modular properties of partition functions of WCFTs. The periodic (Ramond) sector of this fermionic system is non-trivial, and we build two novel partition functions for this sector which have no counterpart in a CFT${}_2$. The thermodynamical properties of WCFTs are revisited in the canonical and micro-canonical ensemble.

41 pages

References in corpus (8)

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• Cardy Formulae for SUSY Theories in d=4 and d=6
• Semi-classical central charge in topologically massive gravity
• Warped Conformal Field Theory as Lower Spin Gravity
• Modular forms and a generalized Cardy formula in higher dimensions
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Cited by in corpus (36)

• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Entanglement Entropy in Warped Conformal Field Theories
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Tweaking one-loop determinants in AdS${}_3$
• Correlation Functions of Warped CFT
• A note on the complex SYK model and warped CFTs
• Locality and anomalies in warped conformal field theory
• Warped Information and Entanglement Islands in AdS/WCFT
• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Warped Symmetries of the Kerr Black Hole
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Warped Black Holes in Lower-Spin Gravity
• 2d Galilean Field Theories with Anisotropic Scaling
• Charged Quantum Fields in AdS${}_2$
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Complexity of warped conformal field theory
• Log corrections to entropy of three dimensional black holes with soft hair
• Reflected Entropy in AdS${}_3$/WCFT
• Siegel Modular Forms and Black Hole Entropy
• Holographic entanglement entropy in AdS${}_3$$/$WCFT
• Structure Constants from Modularity in Warped CFT
• Rényi Mutual Information in Holographic Warped CFTs
• Supersymmetric Warped Conformal Field Theory
• Near-Extremal Limits of Warped CFTs
• New Chiral Gravity
• Near-Extremal Limits of Warped Black Holes
• Torsion and anomalies in the warped limit of Lifschitz theories
• Warped Flatland
• Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Warped CFT duals of the Plebański-Demiański family of solutions
• Gravitational radiations of Kerr black hole from warped symmetries