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Related papers: Complex Sachdev-Ye-Kitaev model in the double scal…

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A common feature of many string-motivated particle physics models is additional strongly coupled U(1)'s. In such sectors, electric and magnetic states have comparable mass, and integrating out modes also charged under U(1) hypercharge…

High Energy Physics - Phenomenology · Physics 2017-02-14 Michele Del Zotto , Jonathan J. Heckman , Piyush Kumar , Arada Malekian , Brian Wecht

Recent work has shown that coupling two identical Sachdev-Ye-Kitaev (SYK) models can realize a phase of matter that is holographically dual to an eternal traversable wormhole. This phase supports revival oscillations between two quantum…

Strongly Correlated Electrons · Physics 2020-10-20 Sharmistha Sahoo , Étienne Lantagne-Hurtubise , Stephan Plugge , Marcel Franz

We discuss higher dimensional generalizations of the 0+1-dimensional Sachdev-Ye-Kitaev (SYK) model that has recently become the focus of intensive interdisciplinary studies by, both, the condensed matter and field-theoretical communities.…

Strongly Correlated Electrons · Physics 2018-08-01 D. V. Khveshchenko

We consider the Sachdev-Ye-Kitaev (SYK) model as an effective theory arising at the zero-dimensional boundary of a many-body localized, Fermionic symmetry protected topological (SPT) phase in one spatial dimension. The Fermions at the…

Strongly Correlated Electrons · Physics 2017-04-05 Yi-Zhuang You , Andreas W. W. Ludwig , Cenke Xu

We study an integrable conformal OSp(2m + 2|2m) supercoset model as an analog to the AdS_5 X S^5 superstring world-sheet theory. Using the known S-matrix for this system, we obtain integral equations for states of large particle density in…

High Energy Physics - Theory · Physics 2008-11-26 Nelia Mann , Joe Polchinski

We evaluate the finite temperature partition sum and correlation functions of the Sachdev-Ye-Kitaev (SYK) model. Starting from a recently proposed mapping of the SYK model onto Liouville quantum mechanics, we obtain our results by exact…

Strongly Correlated Electrons · Physics 2017-07-05 Dmitry Bagrets , Alexander Altland , Alex Kamenev

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on…

High Energy Physics - Theory · Physics 2009-12-17 Nikolay Gromov , Vladimir Kazakov , Pedro Vieira

We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with SO(2,4) symmetry, such as conformal field…

High Energy Physics - Theory · Physics 2009-11-13 Taylor H. Newton , Marcus Spradlin

We determine the semiclassical energy levels for the \phi^4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite--volume kink solutions. The…

High Energy Physics - Theory · Physics 2008-11-26 G. Mussardo , V. Riva , G. Sotkov , G. Delfino

Inspired by the recent interest in the Sachdev-Ye-Kitaev (SYK) model we study a class of multi-flavored one- and two-band fermion systems with no bare dispersion. In contrast to the previous work on the SYK model that would routinely assume…

Strongly Correlated Electrons · Physics 2018-11-16 D. V. Khveshchenko

We study transitions from chaotic to integrable Hamiltonians in the double scaled SYK and $p$-spin systems. The dynamics of our models is described by chord diagrams with two species. We begin by developing a path integral formalism of…

High Energy Physics - Theory · Physics 2024-10-24 Micha Berkooz , Nadav Brukner , Yiyang Jia , Ohad Mamroud

We revisit Brownian Sachdev-Ye-Kitaev model and argue that it has emergent energy conservation overlooked in the literature before. We solve this model in the double-scaled regime and demonstrate hyperfast scrambling, exponential decay of…

High Energy Physics - Theory · Physics 2024-07-25 Alexey Milekhin , Jiuci Xu

We study the operators in the large $N$ tensor models, focusing mostly on the fermionic quantum mechanics with $O(N)^3$ symmetry which may be either global or gauged. In the model with global symmetry we study the spectra of bilinear…

High Energy Physics - Theory · Physics 2018-02-13 Ksenia Bulycheva , Igor R. Klebanov , Alexey Milekhin , Grigory Tarnopolsky

In \url{arXiv:1704.07208} it was shown that the spectrum and bilocal propagator of SYK model with four fermion interactions can be realized as a three dimensional model in $AdS_2 \times S^1/Z_2$ with nontrivial boundary conditions in the…

High Energy Physics - Theory · Physics 2018-04-04 Sumit R. Das , Animik Ghosh , Antal Jevicki , Kenta Suzuki

We analyze three saddle points of the path integral computing the partition function of the SYK model with a Maldacena-Qi coupling in the double scaling limit. The three saddle points are holographically dual to three topologically…

High Energy Physics - Theory · Physics 2026-05-08 Andrew Sontag , Herman Verlinde

We investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the $\mathcal{N}=1$ supersymmetric SYK model. It consists of $N$ real Majorana fermions and $M$ auxiliary bosons with Yukawa interactions. We…

High Energy Physics - Theory · Physics 2019-02-20 Eric Marcus , Stefan Vandoren

The spectrum of Supersymmetric Yang-Mills Quantum Mechanics (SYMQM) in D=4 dimensions for SU(2) gauge group is computed for a maximal number of bosonic quanta $B\le60$ in the two-fermion sector with the angular momentum $j=0$. We analyse…

High Energy Physics - Theory · Physics 2008-11-26 Jan Kotanski

The Sachdev-Ye-Kitaev (SYK) model describes electrons with random and all-to-all interactions, and realizes a many-body state without quasiparticle excitations, and a non-vanishing extensive entropy $S_0$ in the zero temperature limit. Its…

Strongly Correlated Electrons · Physics 2020-07-01 Alexander Kruchkov , Aavishkar Patel , Philip Kim , Subir Sachdev

We investigate a bosonic variant of the Sachdev-Ye-Kitaev (SYK) model coupled to a Lindbladian environment, focusing on the interplay between quantum many-body dynamics and dissipation. Using the Schwinger-Keldysh path integral formalism in…

Quantum Physics · Physics 2025-08-08 Yifei Liu , Anish Kulkarni , Shinsei Ryu

We study a 2-dimensional SYK model with $\mathcal{N}=(0,2)$ supersymmetry. The model describes $N$ chiral supermultiplets and $M$ Fermi supermultiplets with a $(q+1)$-field interaction. We solve the model analytically and numerically in the…

High Energy Physics - Theory · Physics 2019-01-30 Cheng Peng