Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models

Abstract

We study $\mathcal{N}=2$ supersymmetric Sachdev-Ye-Kitaev (SYK) models with complex fermions at non-zero background charge. Motivated by multi-charge supersymmetric black holes, we propose a new $\mathcal{N}=2$ SYK model with multiple $U(1)$ symmetries, integer charges, and a non-vanishing supersymmetric index, realizing features not present in known SYK models. In both models, a conformal solution with a super-Schwarzian mode emerges at low temperatures, signalling the appearance of nearly AdS${}_2$/BPS physics. However, in contrast to complex SYK, the fermion scaling dimension depends on the background charge in the conformal limit. For a critical charge, we find a high to low entropy phase transition in which the conformal solution ceases to be valid. This transition has a simple interpretation: the fermion scaling dimension violates the unitarity bound. We offer some comments on a holographic interpretation for supersymmetric black holes.

arXiv comment56+8 pages, 16 figures

References in corpus (52)

• Anyons in an exactly solved model and beyond
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Breaking an Abelian gauge symmetry near a black hole horizon
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Holographic metals and the fractionalized Fermi liquid
• Fermionic Localization of the Schwarzian Theory
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Solving the Schwarzian via the Conformal Bootstrap
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
• The statistical mechanics of near-extremal black holes
• Notes on the complex Sachdev-Ye-Kitaev model
• On the Dynamics of Near-Extremal Black Holes
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Supersymmetric SYK model and random matrix theory
• Towards a 2d QFT Analog of the SYK Model
• A universal Schwarzian sector in two-dimensional conformal field theories
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Phase Diagram of Planar Matrix Quantum Mechanics, Tensor, and Sachdev-Ye-Kitaev Models
• Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
• Universal low temperature theory of charged black holes with AdS${}_2$ horizons
• Schwinger pair production in AdS2
• Disordered Quivers and Cold Horizons
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Depletion of the Bose-Einstein condensate in Bose-Fermi mixtures
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• Symmetry Breaking in Coupled SYK or Tensor Models
• The double scaled limit of Super--Symmetric SYK models
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• Phases Of Melonic Quantum Mechanics
• Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models
• Towards the Holographic Dual of N = 2 SYK
• A new class of SYK-like models with maximal chaos
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Spontaneous Breaking of $U(1)$ Symmetry in Coupled Complex SYK Models
• Supersymmetric SYK Model with Global Symmetry
• Marginal Deformations and Rotating Horizons
• Breaking away from the near horizon of extreme Kerr
• $\mathcal{N}=2$ SYK model in the superspace formalism
• Black holes with baryonic charge and $\mathcal{I}$-extremization
• A One-Loop Test of the near-AdS${}_2$/near-CFT${}_1$ Correspondence
• Black Hole Spectroscopy and AdS${}_2$ Holography
• A 3d disordered superconformal fixed point
• Near-extremal black holes at late times, backreacted
• The Scales of Black Holes with nAdS${}_2$ Geometry
• Disordered vector models: from higher spins to incipient strings
• Critical metallic phase in the overdoped random $t$-$J$ model
• Soft modes in $\mathcal{N}=2$ SYK model

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• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• A route from maximal chaoticity to integrability
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