Monday, 20 November, 2017
Matthias R. Gaberdiel, Wei Li, Cheng Peng, Hong Zhang

The affine Yangian of \mathfrak{gl}_1 is known to be isomorphic to {\cal W}_{1+\infty}, the W-algebra that characterizes the bosonic higher spin -- CFT duality. In this paper we propose defining...

Tuesday, 7 November, 2017
Hugo Duminil-Copin, Jhih-Huang Li, Ioan Manolescu

We show that the canonical random-cluster measure associated to isoradial graphs is critical for all q \geq 1. Additionally, we prove that the phase transition of the model is of the same type...

Monday, 6 November, 2017
Gabriel Cuomo, Anton de la Fuente, Alexander Monin, David Pirtskhalava, Riccardo Rattazzi

We calculate the scaling dimensions of operators with large global charge and spin in 2+1 dimensional conformal field theories. By the state-operator correspondence, these operators correspond...

Tuesday, 31 October, 2017
Vieri Mastropietro, Marcello Porta

The Drude weight is a central quantity for the transport properties of quantum spin chains. The canonical definition of Drude weight is directly related to Kubo formula of conductivity. However...

Monday, 30 October, 2017
Jean-Pierre Eckmann, C. Eugene Wayne

We study metastable motions in weakly damped Hamiltonian systems. These are believed to inhibit the transport of energy through Hamiltonian, or nearly Hamiltonian, systems with many degrees of...

Thursday, 26 October, 2017
Christian Brennecke, Phan Thành Nam, Marcin Napiórkowski, Benjamin Schlein

We consider a system of N bosons interacting through a singular two-body potential scaling with N and having the form N^{3\beta-1} V (N^\beta x), for an arbitrary parameter \beta \in (0,1). We...

Thursday, 19 October, 2017
Andrea Agazzi, Amir Dembo, Jean-Pierre Eckmann

In an earlier paper, we proved the validity of large deviations theory for the particle approximation of quite general chemical reaction networks (CRNs). In this paper, we present a more...

Wednesday, 11 October, 2017
Álvaro Pelayo, Tudor S Ratiu, San Vu Ngọc

This paper initiates the study of semitoric integrable systems with two degrees of freedom and with proper momentum-energy map, but with possibly nonproper S 1-momentum map. This class of...

Nonlinearity, Volume 30, Number 11
Friday, 29 September, 2017
Grigory Mikhalkin, Stepan Orevkov

Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots and links in RP3 which can be viewed as a first order Vassiliev invariant. In this paper we classify real...

Thursday, 28 September, 2017
Adolfo del Campo, Javier Molina Vilaplana, Lea F. Santos, Julian Sonner

Scrambling in interacting quantum systems out of equilibrium is particularly effective in the chaotic regime. Under time evolution, initially localized information is said to be scrambled as it...

Tuesday, 26 September, 2017
Anton Alekseev, Arkady Berenstein, Benjamin Hoffman, Yanpeng Li

We introduce a notion of weakly log-canonical Poisson structures on positive varieties with potentials. Such a Poisson structure is log-canonical up to terms dominated by the potential. To a...

Tuesday, 19 September, 2017
Shouvik Datta, Lorenz Eberhardt, Matthias R. Gaberdiel

We propose a class of {\rm AdS}_3/{\rm CFT}_2 dualities with N=(2,2) supersymmetry. These dualities relate string theory on {\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G} to marginal...