A bstract We present a new holographic duality between q-Schwarzian quantum mechanics and Liouville gravity. The q-Schwarzian is a one parameter deformation of the Schwarzian …
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 …
A bstract A feature the\(\mathcal {N}\)= 2 supersymmetric Sachdev-Ye-Kitaev (SYK) model shares with extremal black holes is an exponentially large number of ground states that …
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 …
K Okuyama - Journal of High Energy Physics, 2023 - Springer
A bstract We show that the connected correlators of partition functions in double scaled SYK model can be decomposed into “trumpet” and the discrete analogue of the Weil-Petersson …
Recent developments in anti–de Sitter holography point towards the association of an infinite class of covariant objects, the simplest one being codimension-one extremal …
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 …
TG Mertens - Journal of High Energy Physics, 2023 - Springer
A bstract In this note, we propose a decomposition of the quantum matrix group\({\textrm {SL}} _q^{+}\)(2, ℝ) as (deformed) exponentiation of the quantum algebra generators of …
A Almheiri, A Goel, XY Hu - arXiv preprint arXiv:2403.18333, 2024 - arxiv.org
We consider a simplified model of double scaled SYK (DSSYK) in which the Hamiltonian is the position operator of the Harmonic oscillator. This model captures the high temperature …