Supersymmetric Warped Conformal Field Theory

Abstract

In this work, we study the supersymmetric warped conformal field theory in two dimensions. We show that the Hofman-Strominger theorem on symmetry enhancement could be generalized to the supersymmetric case. More precisely, we find that within a chiral superspace $(x^{+},þ)$, a two-dimensional field theory with two translational invariance and a chiral scaling symmetry can have enhanced local symmetry, under the assumption that the dilation spectrum is discrete and non-negative. Similar to the pure bosonic case, there are two kinds of minimal models, one being $N=(1,0)$ supersymmetric conformal field theories, while the other being $N=1$ supersymmetric warped conformal field theories (SWCFT). We study the properties of SWCFT, including the representations of the algebra, the space of states and the correlation functions of the superprimaries.

arXiv comment30 pages

References in corpus (33)

• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Torsional Newton-Cartan Geometry and Lifshitz Holography
• Newtonian Gravity and the Bargmann Algebra
• Warped Conformal Field Theory
• New Boundary Conditions for AdS3
• Lifshitz Space-Times for Schroedinger Holography
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
• On the coupling of Galilean-invariant field theories to curved spacetime
• Warped Conformal Field Theory as Lower Spin Gravity
• Entanglement Entropy in Warped Conformal Field Theories
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Warped Weyl fermion partition functions
• Tweaking one-loop determinants in AdS${}_3$
• Supersymmetric Extension of GCA in 2d
• Correlation Functions of Warped CFT
• A note on the complex SYK model and warped CFTs
• Chiral Liouville Gravity
• Locality and anomalies in warped conformal field theory
• Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Warped Symmetries of the Kerr Black Hole
• Entanglement and chaos in warped conformal field theories
• Torsional Newton-Cartan Geometry and the Schrödinger Algebra
• Warped Black Holes in Lower-Spin Gravity
• 2d Galilean Field Theories with Anisotropic Scaling
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Holographic entanglement entropy in AdS${}_3$$/$WCFT
• Structure Constants from Modularity in Warped CFT
• Rényi Mutual Information in Holographic Warped CFTs
• Warped Flatland
• Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$

Cited by in corpus (6)

• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• On Galilean conformal bootstrap
• Complexity of warped conformal field theory
• Reflected Entropy in AdS${}_3$/WCFT
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Warped CFT duals of the Plebański-Demiański family of solutions