Dynamical actions and q-representation theory for double-scaled SYK

A Blommaert, TG Mertens, S Yao - Journal of High Energy Physics, 2024 - Springer
A bstract We show that DSSYK amplitudes are reproduced by considering the quantum
mechanics of a constrained particle on the quantum group SU q (1, 1). We construct its left …

Branes in JT (super) gravity from group theory

A Belaey, F Mariani, TG Mertens - Journal of High Energy Physics, 2024 - Springer
A bstract In this work, we revisit the end-of-the-world (EOW) brane amplitudes in JT gravity
from a BF gauge theoretic perspective. Observing and identifying the correct group theoretic …

Path integral for chord diagrams and chaotic-integrable transitions in double scaled SYK

M Berkooz, N Brukner, Y Jia, O Mamroud - Physical Review D, 2024 - APS
We study transitions from chaotic to integrable Hamiltonians in the double scaled Sachdev-
Ye-Kitaev (SYK) and p-spin systems. The dynamics of our models is described by chord …

Holographic complexity of the extended Schwarzschild-de Sitter space

SE Aguilar-Gutierrez, S Baiguera, N Zenoni - Journal of High Energy …, 2024 - Springer
A bstract According to static patch holography, de Sitter space admits a unitary quantum
description in terms of a dual theory living on the stretched horizon, that is a timelike surface …

Holography on the quantum disk

A Almheiri, FK Popov - Journal of High Energy Physics, 2024 - Springer
A bstract Motivated by recent study of DSSYK and the non-commutative nature of its bulk
dual, we review and analyze an example of a non-commutative spacetime known as the …

An entropic puzzle in periodic dilaton gravity and DSSYK

A Blommaert, A Levine, TG Mertens, J Papalini… - arXiv preprint arXiv …, 2024 - arxiv.org
We study 2d dilaton gravity theories with a periodic potential, with special emphasis on sine
dilaton gravity, which is holographically dual to double-scaled SYK. The periodicity of the …

The dilaton gravity hologram of double-scaled SYK

A Blommaert, TG Mertens, J Papalini - arXiv preprint arXiv:2404.03535, 2024 - arxiv.org
We work out a precise holographic duality between sine dilaton gravity, and DSSYK. More
precisely, canonical quantization of sine dilaton gravity reproduces q-Schwarzian quantum …

A Cordial Introduction to Double Scaled SYK

M Berkooz, O Mamroud - arXiv preprint arXiv:2407.09396, 2024 - arxiv.org
We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and
other $ p $-local quantum mechanical random Hamiltonians. These models exhibit an …

Gravitational wavefunctions in JT supergravity

A Belaey, F Mariani, TG Mertens - arXiv preprint arXiv:2405.09289, 2024 - arxiv.org
We determine explicit expressions for the continuous two-sided gravitational wavefunctions
in supersymmetric versions of JT gravity, focusing mainly on $\mathcal {N}= 2$ JT …

Firewalls at exponentially late times

A Blommaert, CH Chen, Y Nomura - arXiv preprint arXiv:2403.07049, 2024 - arxiv.org
We consider a version of the typical state firewall setup recently reintroduced by Stanford
and Yang, who found that wormholes may create firewalls. We examine a late-time double …