Wednesday, 20 May, 2015
Yuri Berest, Giovanni Felder, Sasha Patotski, Ajay C. Ramadoss, Thomas Willwacher

This paper is a sequel to our earlier work [BFPRW], where we study the derived representation scheme DRep_{g}(A) parametrizing the representations of a Lie algebra A in a finite-dimensional...

Monday, 18 May, 2015
Takuya Matsumoto, Domenico Orlando, Susanne Reffert, Jun-ichi Sakamoto, Kentaroh Yoshida

We study Yang-Baxter deformations of 4D Minkowski spacetime. The Yang-Baxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-...

Saturday, 16 May, 2015
Grigory Mikhalkin

We associate a half-integer number, called the quantum index, to algebraic curves in the real plane satisfying to certain conditions. The area encompassed by the logarithmic image of such curves...

Friday, 15 May, 2015
Hugo Duminil-Copin, Vladas Sidoravicius, Vincent Tassion

This article studies the planar Potts model and its random-cluster representation. We show that the phase transition of the nearest-neighbor ferromagnetic q-state Potts model on Z^2 is...

Saturday, 9 May, 2015
Rinat Kashaev, Marcos Marino, Szabolcs Zakany

The quantization of mirror curves to toric Calabi--Yau threefolds leads to trace class operators, and it has been conjectured that the spectral properties of these operators provide a non-...

Thursday, 7 May, 2015
J.E. Gough, T.S. Ratiu, O.G. Smolyanov

We study several examples from quantum control theory in the framework of Wigner functions and measures for infinite dimensional open quantum systems. An axiomatic definition of coherent quantum...

Wednesday, 6 May, 2015
Simeon Hellerman, Domenico Orlando, Susanne Reffert, Masataka Watanabe

We calculate the anomalous dimensions of operators with large global charge $J$ in certain strongly coupled conformal field theories in three dimensions, such as the O(2) model and the...

Tuesday, 5 May, 2015
Giulia Cusin, Ruth Durrer, Pietro Guarato, Mariele Motta

In this paper we study the generation of primordial perturbations in a cosmological setting of bigravity during inflation. We consider a model of bigravity which can reproduce the Lambda-CDM...

Tuesday, 5 May, 2015
Slava Rychkov, Zhong Ming Tan

Conformal multiplets of ϕ and ϕ^3 recombine at the Wilson-Fisher fixed point, as a consequence of the equations of motion. Using this fact and other constraints from conformal symmetry, we...

Friday, 1 May, 2015
T. S. Ratiu, M. S. Romanov, V. N. Samokhin, G. A. Chechkin

The paper is devoted to the two-dimensional Ericksen–Leslie system describing the nematodinamics of liquid crystals. The moment of inertia of molecules is supposed to be strictly positive. The...

Doklady Mathematics, May 2015, Volume 91, Issue 3, pp 354-358
Friday, 1 May, 2015
F. Demoures, F. Gay-Balmaz, S. Leyendecker, S. Ober-Blöbaum, T. S. Ratiu, Y. Weinand

The goal of this paper is to derive a structure preserving integrator for geometrically exact beam dynamics, by using a Lie group variational integrator. Both spatial and temporal discretization...

Numerische Mathematik, May 2015, Vol 130, Issue 1, pp 73-123
Wednesday, 22 April, 2015
Rupert L. Frank, Christian Hainzl, Benjamin Schlein, Robert Seiringer

We study the time-dependent Bogolubov--de-Gennes equations for generic translation-invariant fermionic many-body systems, and show that even slightly above the critical temperature the order...