56 citations · 148 across the 12 of their papers we have counts for
12 papers
Emergent Area Laws from Entangled Matrices
Alexander Frenkel, Sean A. Hartnoll
We consider a wavefunction of large matrices supported close to an emergent classical fuzzy sphere geometry. The Gauss law of the theory enforces correlations between t…
Boundary Description of Microstates of the Two-Dimensional Black Hole
Amr Ahmadain, Alexander Frenkel, Krishnendu Ray +1
We identify the microstates of the non supersymmetric, asymptotically flat 2d black hole in the dual c=1 matrix quantum mechanics (MQM). We calculate the partition function of the…
Entanglement in the Quantum Hall Matrix Model
Alexander Frenkel, Sean A. Hartnoll
Characterizing the entanglement of matrix degrees of freedom is essential for understanding the holographic emergence of spacetime. The Quantum Hall Matrix Model is a gauged …
Perelman's Ricci Flow in Topological Quantum Gravity
Alexander Frenkel, Petr Horava, Stephen Randall
We find the regime of our recently constructed topological nonrelativistic quantum gravity, in which Perelman's Ricci flow equations on Riemannian manifolds appear precisely as the…
The Geometry of Time in Topological Quantum Gravity of the Ricci Flow
Alexander Frenkel, Petr Horava, Stephen Randall
We continue the study of topological nonrelativistic quantum gravity associated with a family of Ricci flow equations on Riemannian manifolds. This topological gravity is of the co…
Topological Quantum Gravity of the Ricci Flow
Alexander Frenkel, Petr Horava, Stephen Randall
We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow on Riemannian manifolds. First we use BRST quantization to constr…
Holographic flows from CFT to the Kasner universe
Alexander Frenkel, Sean A. Hartnoll, Jorrit Kruthoff +1
The Schwarzschild singularity is known to be classically unstable. We demonstrate a simple holographic consequence of this fact, focusing on a perturbation that is uniform in bound…
Surfactant and gravity dependent instability of two-layer channel flows: Linear theory covering all wave lengths
Alexander F. Frenkel, David Halpern, Adam J. Schweiger
A linear stability analysis of a two-layer plane Couette flow of two immiscible fluid layers with different densities, viscosities and thicknesses, bounded by two infinite parallel…
Surfactant and gravity dependent inertialess instability of two-layer Couette flows and its nonlinear saturation
Alexander L. Frenkel, David Halpern
A horizontal flow of two immiscible fluid layers with different densities, viscosities and thicknesses, subject to vertical gravitational forces and with an insoluble surfactant pr…
Strongly nonlinear nature of interfacial-surfactant instability of Couette flow
Alexander L. Frenkel, David Halpern
Nonlinear stages of the recently uncovered instability due to insoluble surfactant at the interface between two fluids are investigated for the case of a creeping plane Couette flo…
Wavy film flows down an inclined plane. Part I: Perturbation theory and general evolution equation for the film thickness
Alexander L. Frenkel, Keshavamurthy Indireshkumar
Wavy film flow of incompressible Newtonian fluid down an inclined plane is considered. The question is posed as to the parametric conditions under which the description of evolutio…
Mutually Penetrating Motion of Self-Organized 2D Patterns of Soliton-Like Structures
K. Indireshkumar, A. L. Frenkel
Results of numerical simulations of a recently derived most general dissipative-dispersive PDE describing evolution of a film flowing down an inclined plane are presented. They ind…