Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography

• URL: http://arxiv.org/abs/2602.06113v1
• Date: Thu, 05 Feb 2026 19:00:00 GMT
• Title: Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
• Authors: Sergio E. Aguilar-Gutierrez,
• Abstract summary: We study the properties of the double-scaled SYK (DSSYK) model under chord Hamiltonian deformations.<n>We concretely realize the cosmological stretched horizon proposal in de Sitter holography by Susskind.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the properties of the double-scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower-dimensional analog of $\text{T}\bar{\text{T}}(+Λ_2)$ deformations, denoted $T^2(+Λ_1)$, as special cases. In general, the deformation mixes the chord basis of the Hilbert space in the seed theory, which we order through a modification of the Lanczos algorithm. The resulting chord number in the ordered basis represents a wormhole length at a finite cutoff in the bulk. We study the thermodynamic properties of the deformed theory; the evolution of $n$-point correlation functions with matter chords; the growth of complexity of the Hartle-Hawking state; and the entanglement entropy between the double-scaled algebras for a given chord state. The latter, in the triple-scaling limit, manifests as the minimal codimension-two area in the bulk following the Ryu-Takayanagi formula. By performing a sequence of $T^2$ and $T^2+Λ_1$ deformations in the upper tail of the energy spectrum in the deformed DSSYK, we concretely realize the cosmological stretched horizon proposal in de Sitter holography by Susskind. We discuss other extensions with sine dilaton gravity, end-of-the-world branes, and the Almheiri-Goel-Hu model.

Related papers

• Quantum Ising Model on $(2+1)-$Dimensional Anti$-$de Sitter Space using Tensor Networks [37.108493798440655]
  We study the quantum Ising model on (2+1)-dimensional anti-de Sitter space using Matrix Product States (MPS) and Matrix Product Operators (MPOs)<n>Our spatial lattices correspond to regular tessellations of hyperbolic space with coordination number seven.<n>We find the ground state of this model using the Density Matrix Renormalization Group (DMRG) algorithm which allowed us to probe lattices that range in size up to 232 sites.
  arXiv  Detail & Related papers  (2025-12-23T23:29:39Z)
• Cosmological Entanglement Entropy and Edge Modes from Double-Scaled SYK \& Its Connection with Krylov Complexity [0.0]
  We investigate entanglement entropy in the double-scaled SYK (DSSYK) model, its holographic interpretation in terms of edge modes and its connection with Krylov complexity.<n>The corresponding entanglement entropy takes the form of a generalized horizon entropy in the bulk dual.<n>We reproduce the Gibbons-Hawking entropy for specific entangling points; while it decreases for others.
  arXiv  Detail & Related papers  (2025-11-05T19:00:00Z)
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy [0.0]
  We advance the study of flat space holography by computing the entanglement entropy of highly excited states in two-dimensional Carrollian/Galilean Conformal Field Theories.<n>Our approach is centered on a novel, physically intuitive derivation of the heavy-light conformal block in the large central charge limit.<n>Using this result and the replica trick, we find that the entanglement entropy of highly excited states assumes a thermal form.
  arXiv  Detail & Related papers  (2025-10-29T16:54:11Z)
• Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point [10.373461336540279]
  We investigate the second order R'enyi entanglement entropy at the quantum critical point of spin-1/2 antiferromagnetic Heisenberg model.<n>The universal constant $gamma$ in the area-law scaling $S_2(ell) = alphaell - gamma$ is found to be sensitive to the entangling surface configurations.
  arXiv  Detail & Related papers  (2025-09-02T07:39:43Z)
• Spread complexity and the saturation of wormhole size [0.6291443816903801]
  Recent proposals equate the size of Einstein-Rosen bridges in JT gravity to spread complexity of a dual, double-scaled SYK theory (DSSYK)<n>We show that the auxiliary chord basis'' of these proposals is an extrapolation from a sub-exponential part of the finite-dimensional physical Krylov basis of a spreading thermofield double state.<n>We non-perturbatively extend the identification of ER bridge size and spread complexity to the complete Hilbert space, and show that it saturates at late times.
  arXiv  Detail & Related papers  (2024-12-02T23:46:22Z)
• D-commuting SYK model: building quantum chaos from integrable blocks [10.522182041006152]
  We study the spectrum of this model analytically in the double-scaled limit.<n>For finite $d$ copies, the spectrum is close to the regular SYK model in UV but has an exponential tail $eE/T_c$ in the IR.<n>We propose the existence of a new phase around $T_c$, and the dynamics should be very different in two phases.
  arXiv  Detail & Related papers  (2024-11-19T19:00:06Z)
• On Chord Dynamics and Complexity Growth in Double-Scaled SYK [0.0]
  We study the time evolution governed by the two-sided chord Hamiltonian in the double-scaled SYK model.<n>We demonstrate how distinct semi-classical behaviors emerge by localizing within specific energy regions in the semi-classical limit.
  arXiv  Detail & Related papers  (2024-11-06T20:43:22Z)
• Entanglement scaling behaviors of free fermions on hyperbolic lattices [8.234490063684973]
  Tight-binding models on hyperbolic lattices have led to hyperbolic band theory and non-Abelian Bloch states.<n>This paper focuses on the scaling of entanglement entropy (EE) that has been regarded as a powerful quantum-information probe into exotic phases of matter.
  arXiv  Detail & Related papers  (2024-08-03T08:17:51Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Hyperfine Structure of Quantum Entanglement [8.203995433574182]
  We introduce the hyperfine structure of entanglement, which decomposes entanglement contours known as the fine structure into particle-number cumulants.<n>This measure exhibits a set of universal properties with its significance in quantum information science.
  arXiv  Detail & Related papers  (2023-11-03T15:49:56Z)
• A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture [68.8204255655161]
  We argue that for generic black hole parameters as initial conditions for Einstein equations, the metric is $C0$-extendable to a larger Lorentzian manifold. We prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS$_d+1$ black hole dual to a CFT living on a ($d-1$)-dimensional hyperboloid $H_d-1$.
  arXiv  Detail & Related papers  (2022-06-17T12:14:33Z)
• Annihilating Entanglement Between Cones [77.34726150561087]
  We show that Lorentz cones are the only cones with a symmetric base for which a certain stronger version of the resilience property is satisfied. Our proof exploits the symmetries of the Lorentz cones and applies two constructions resembling protocols for entanglement distillation.
  arXiv  Detail & Related papers  (2021-10-22T15:02:39Z)
• Thermalization of Gauge Theories from their Entanglement Spectrum [0.0]
  We study the Entanglement Structure of $mathbfZ$ lattice gauge theory in $(2+1)$ spacetime dimensions. We demonstrate Li and Haldane's conjecture, and show consistency of the Entanglement Hamiltonian with the Bisognano-Wichmann theorem.
  arXiv  Detail & Related papers  (2021-07-23T18:57:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.