Institut des Hautes Études Scientifiques

Conformal data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-dimensional spacetime from exact diagonalization and matrix product states on the fuzzy sphere

We study at zero temperature a microscopic quantum spin-1 model on the fuzzy sphere that realizes the O(2) O ( 2 ) Wilson-Fisher conformal field theory (CFT) in (2+1) ( 2 + 1 ) -dimensional spacetime at a quantum critical point. Here, we use the fuzzy-sphere regularization as it...

Kerr black hole formation and a dynamical approach to the Penrose inequality

In this expository note, we present our recent result on the dynamical formation of Kerr black holes for the 3 + 1 dimensional Einstein vacuum equations and a newly dynamical approach to the Penrose inequality, based on [6]. Combining the scale-critical short-pulse mechanism with...

Time-periodic oscillation of capillary fluid droplet

In this note, we outline the construction of time-periodic oscillating capillary fluid droplet, based on a working paper of the authors. The droplet is modeled by an incompressible, irrotational Eulerian system with free boundary. The key tool developed in the research work is a...

An infinite-times renewal equation

In neuroscience, the time elapsed since the last discharge has been used to predict the probability of the next discharge. Such predictions can be improved taking into account the last two discharge times, and preferentially more. Such multi-times renewal processes arise in many...

Reflections on time-reversal in the symmetry topological field theory

Symmetry under time-reversal appears in the microscopic description of many physical systems. In a quantum mechanical setting it acts as an anti-unitary operator, so does not fall under general analyses based on unitary symmetries. In classifying zero temperature phases of matter...

Semi-universality of CFT$_d$ entropy at large spin

The thermal partition function, Z <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>Z</mml:mi> </mml:math> , of a CFT_d <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>C</mml:mi> <mml:mi>F</mml:mi> <mm...

Review of Particle Physics *

The Review summarizes much of particle physics and cosmology. Using data from previous editions, plus 3,200 new measurements from 903 papers, we list, evaluate, and average measured properties of gauge bosons and the recently discovered Higgs boson, leptons, quarks, mesons, and b...