Tuesday, 4 December, 2018
Grigory Mikhalkin, Stepan Orevkov

For a real algebraic link in RP3, we prove that its encomplexed writhe (an invariant introduced by Viro) is maximal for a given degree and genus if and only if its self-linking number...

Monday, 3 December, 2018
Lorenz Eberhardt, Matthias R. Gaberdiel, Rajesh Gopakumar

Superstring theory on {\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4 with the smallest amount of NS-NS flux (`k=1') is shown to be dual to the spacetime CFT given by the large N limit of the...

Friday, 30 November, 2018
Jakob E. Björnberg, Jürg Fröhlich, Daniel Ueltschi

We present a systematic analysis of quantum Heisenberg-, XY- and interchange models on the complete graph. These models exhibit phase transitions accompanied by spontaneous symmetry breaking,...

Thursday, 29 November, 2018
Julien Ducoulombier, Victor Turchin, Thomas Willwacher

It is known that the bimodule derived mapping spaces between two operads have a delooping in terms of the operadic mapping space. We show a relative version of that statement. The result has...

Wednesday, 28 November, 2018
Alfredo Glioti, Riccardo Rattazzi, Luca Vecchi

Conventional scenarios of electroweak (EW) baryogenesis are strongly constrained by experimental searches for CP violation beyond the SM. We propose an alternative scenario where the EW phase...

Wednesday, 28 November, 2018
Domenico Orlando, Susanne Reffert, Yuta Sekiguchi, Kentaroh Yoshida

In this note we give an explicit formula for the preserved Killing spinors in deformed string theory backgrounds corresponding to integrable Yang--Baxter deformations realized via (sequences of...

Sunday, 25 November, 2018
Alberto S. Cattaneo, Ivan Contreras

A Lagrangian subspace L of a weak symplectic vector space is called \emph{split Lagrangian} if it has an isotropic (hence Lagrangian) complement. When the symplectic structure is strong, it is...

Sunday, 18 November, 2018
Alberto S. Cattaneo, Domenico Fiorenza, Riccardo Longoni

This note is an expanded and updated version of our entry with the same title for the 2006 Encyclopedia of Mathematical Physics. We give a brief overview of graded Poisson algebras, their main...

Thursday, 15 November, 2018
Jørgen Ellegaard Andersen, Rinat Kashaev

We review our construction of the Teichmüller TQFT. We recall our volume conjecture for this TQFT and the examples for which this conjecture has been established. We end the paper with a brief...

Thursday, 15 November, 2018
Norbert Hungerbühler, Gideon Villiger

In the Euclidean plane, two intersecting circles or two circles which are tangent to each other clearly do not carry a finite Steiner chain. However, in this paper we will show that such exotic...

Monday, 12 November, 2018
Katsushi Ito, Marcos Mariño, Hongfei Shu

We derive a system of TBA equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of the ODE...

Monday, 5 November, 2018
Richard Rimanyi, Andras Szenes

Grothendieck polynomials were introduced by Lascoux and Schützenberger, and they play an important role in K-theoretic Schubert calculus. In this paper, we give a new definition of double stable...