User profiles for D. Stanford

Douglas Stanford

Stanford University
Verified email at stanford.edu
Cited by 16842

Localized shocks

DA Roberts, D Stanford, L Susskind - Journal of High Energy Physics, 2015 - Springer
… We will define the size s[Wx(tw)] as the (d − 1) dimensional volume of the region in y such
that C is greater than or equal to one.In the examples that we consider, this region consists of a …

A bound on chaos

J Maldacena, SH Shenker, D Stanford - Journal of High Energy Physics, 2016 - Springer
… 6For the particular case of a planar AdSd+1 black brane we have µ2 = d(d−1) … in z+, we can
apply a uniform bound for this quantity when d > 2, since unitarity implies that12 ∆ − S ≥ d−2 …

Remarks on the sachdev-ye-kitaev model

J Maldacena, D Stanford - Physical Review D, 2016 - APS
We study a quantum-mechanical model proposed by Sachdev, Ye and Kitaev. The model
consists of N Majorana fermions with random interactions of a few fermions at a time. It it …

Black holes and the butterfly effect

SH Shenker, D Stanford - Journal of High Energy Physics, 2014 - Springer
… In this appendix, we will explore the effect of the shock wave for D-dimensional AdS black
holes. D is the bulk spacetime dimension, ie D = 3 for BTZ. We will not attempt to compute …

Complexity and shock wave geometries

D Stanford, L Susskind - Physical Review D, 2014 - APS
In this paper we refine a conjecture relating the time-dependent size of an Einstein-Rosen
bridge (ERB) to the computational complexity of the dual quantum state. Our refinement states …

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space

J Maldacena, D Stanford, Z Yang - Progress of Theoretical and …, 2016 - academic.oup.com
… The asymptotic symmetries of A d S 2 are all the time reparametrizations of the boundary. …
the A d S 2 geometry and they are explicitly broken by the small deformation away from A d S 2 …

Replica wormholes and the black hole interior

G Penington, SH Shenker, D Stanford… - Journal of High Energy …, 2022 - Springer
… In appendix D we present an explicit Hilbert space ensemble precisely dual to the sum over
all topologies of the simple model. In appendix E we discuss in some detail the connection …

Black holes and random matrices

…, J Polchinski, P Saad, SH Shenker, D Stanford… - Journal of High Energy …, 2017 - Springer
… In appendix D we again consider the G,Σ formulation of the model. We point out the
existence of a family of subleading saddle points that show up both in the SYK model and in the …

Fermionic localization of the Schwarzian theory

D Stanford, E Witten - Journal of High Energy Physics, 2017 - Springer
… First of all, here d is an abstract exterior derivative that acts on the field φ but not on the spatial
… As d does not act on τ, likewise it commutes with ∂τ , so for instance dφ/ = d(∂τ φ) is the …

An apologia for firewalls

A Almheiri, D Marolf, J Polchinski, D Stanford… - Journal of High Energy …, 2013 - Springer
We address claimed alternatives to the black hole firewall. We show that embedding the
interior Hilbert space of an old black hole into the Hilbert space of the early radiation is …