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This work is the first step in a two-part investigation of real-time replica wormholes. Here we study the associated real-time gravitational path integral and construct the variational principle that will define its saddle-points. We also…

High Energy Physics - Theory · Physics 2021-06-23 Sean Colin-Ellerin , Xi Dong , Donald Marolf , Mukund Rangamani , Zhencheng Wang

We study four coupled SYK models and nearly AdS$_2$ gravities. In the SYK model side, we construct a model that couples two copies of two coupled SYK models. In nearly AdS$_2$ gravity side, we entangle matter fields in two copies of…

High Energy Physics - Theory · Physics 2021-08-31 Tokiro Numasawa

We study the dynamics of chaos across the phase transition in a 2-coupled Sachdev-Ye-Kitaev (SYK) model, with a focus on the unstable "hot wormhole" phase. Using the Schwinger-Keldysh formalism, we employ two non-equilibrium protocols that…

High Energy Physics - Theory · Physics 2025-04-30 Martí Berenguer , Javier Mas , Juan Santos-Suárez , Alfonso V. Ramallo

We derive semiclassical periodic orbit expansions for a correlation function of the Wigner time delay. We consider the Fourier transform of the two-point correlation function, the form factor $K(\tau,x,y,M)$, that depends on the number of…

Chaotic Dynamics · Physics 2010-03-09 Jack Kuipers , Martin Sieber

We study the role of ensemble averaging in holography by exploring the relation between the universal late time behavior of the spectral form factor and the second Renyi entropy of a thermal mixed state of the doubled system. Both…

High Energy Physics - Theory · Physics 2021-05-06 Herman Verlinde

The goal of this note is to explore the behavior of effective action in the SYK model with general continuous global symmetries. A global symmetry will decompose the whole Hamiltonian of a many-body system to several single charge sectors.…

High Energy Physics - Theory · Physics 2019-05-20 Junyu Liu , Yehao Zhou

In the present paper we discuss properties of a model of a ring wormhole, recently proposed by Gibbons and Volkov. Such a wormhole connects two flat spacetimes which are glued through discs of the radius $a$ bounded by the string with…

High Energy Physics - Theory · Physics 2023-07-26 Valeri P. Frolov , Pavel Krtous , Andrei Zelnikov

In this paper wormhole effects on $SO(3)$ YM theory are examined. The wormhole wave functions for the scalar, the vector and the tensor expansion modes are computed assuming a small gauge coupling which leads to an effective decoupling of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 A. Lukas

Semiclassical methods are extremely important in the subjects of wave packet and coherent state dynamics. Unfortunately, these essentially saddle point approximations are considered nearly impossible to carry out in detail for systems with…

Quantum Physics · Physics 2022-06-01 Huichao Wang , Steven Tomsovic

Euclidean wormholes are known to encode important non-perturbative effects in the physics of quantum black holes. In this paper, we discuss the slicing of Euclidean wormholes along a time-reflection symmetric slice which treats half of the…

High Energy Physics - Theory · Physics 2025-11-18 Alexandre Belin

We study the asymptotic bipartite entanglement in various integrable and nonintegrable models of monitored fermions. We find that, for the integrable cases, the entanglement versus the system size is well fitted, over more than one order of…

Quantum Physics · Physics 2026-05-15 Giulia Piccitto , Giuliano Chiriacò , Davide Rossini , Angelo Russomanno

We study traversable wormhole solutions in pure gauged $N\!=\!2$ supergravity with and without electromagnetic fields, which are locally isometric under $\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(1,1)$. The model allows for 1/2-BPS wormhole…

High Energy Physics - Theory · Physics 2020-10-28 Andres Anabalon , Bernard de Wit , Julio Oliva

Sachdev-Ye-Kitaev (SYK) model, which describes $N$ randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS$_2$ dilaton gravity. Ref. [1] proposed a…

High Energy Physics - Theory · Physics 2020-06-24 Xiao-Liang Qi , Pengfei Zhang

We develop a systematic and unified random matrix theory to classify Sachdev-Ye-Kitaev (SYK) and supersymmetric (SUSY) SYK models and also work out the structure of the energy levels in one periodic table. The SYK with even $q$- and SUSY…

Strongly Correlated Electrons · Physics 2020-07-01 Fadi Sun , Jinwu Ye

This study explores the intricate real-time dynamics of a non-Hermitian system composed of two interconnected Sachdev-Ye-Kitaev (SYK) models. A central finding reveals that an excitation initially localized in the right SYK subsystem can be…

High Energy Physics - Theory · Physics 2024-08-27 Sizheng Cao , Xian-Hui Ge

We construct fractional Sobolev spaces on arbitrary time scales, both in one dimension and on product time scales. In 1D, we define $W^{\alpha(\cdot),p}_{\mathrm{rd}}(\mathcal I)$ through a variable-order Gagliardo-type seminorm and prove…

Dynamical Systems · Mathematics 2026-03-10 Hafida Abbas , Abdelhalim Azzouz

We study a two-site Sachdev-Ye-Kitaev (SYK) model with complex couplings, and identify a low temperature transition to a gapped phase characterized by a constant in temperature free energy. This transition is observed without introducing a…

High Energy Physics - Theory · Physics 2021-02-24 Antonio M. García-García , Victor Godet

The metric describing a given finite sector of a four-dimensional asymptotically anti-de Sitter wormhole can be transformed into the metric of the time constant sections of a Tangherlini black hole in a five-dimensional anti-de Sitter…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Pedro F. Gonzalez-Diaz

We discuss the connections between the complex SYK model at the conformal limit and warped conformal field theories. Both theories have an $SL(2,R) \times U(1)$ global symmetry. We present comparisons on symmetries, correlation functions,…

High Energy Physics - Theory · Physics 2019-01-30 Pankaj Chaturvedi , Yingfei Gu , Wei Song , Boyang Yu

The Sachdev-Ye-Kitaev (SYK) model describes a strange metal that shows peculiar non-Fermi liquid properties without quasiparticles. It exhibits a maximally chaotic behavior characterized by out-of-time-ordered correlators (OTOCs), and is…

Strongly Correlated Electrons · Physics 2019-06-25 Naoto Tsuji , Philipp Werner