Tuesday, 28 August, 2018
Yukun He, Antti Knowles, Matteo Marcozzi

We prove a local law for the adjacency matrix of the Erd\H{o}s-R\'enyi graph G(N,p) in the supercritical regime pN \geq C\log N where G(N,p) has with high probability no isolated vertices. In...

Tuesday, 28 August, 2018
Yukun He, Antti Knowles

The celebrated Wigner-Gaudin-Mehta-Dyson (WGMD) (or sine kernel) statistics of random matrix theory describes the universal correlations of eigenvalues on the microscopic scale, i.e....

Thursday, 23 August, 2018
Adrian del Rio, Ruth Durrer, Subodh P. Patil

During single clock inflation, hidden fields (i.e. fields coupled to the inflaton only gravitationally) in their adiabatic vacua can ordinarily only affect observables through virtual effects....

Wednesday, 22 August, 2018
Omer Angel, Asaf Ferber, Benny Sudakov, Vincent Tassion

Given a graph G and a bijection f : E(G)\rightarrow \{1, 2, \ldots,e(G)\}, we say that a trail/path in G is f-\emph{increasing} if the labels of consecutive edges of this trail/path form an...

Tuesday, 21 August, 2018
Anton Alekseev, Benjamin Hoffman, Jeremy Lane, Yanpeng Li

For a compact Poisson-Lie group K, the homogeneous space K/T carries a family of symplectic forms\omega_\xi^s, where \xi \in \mathfrak{t}^*_+ is in the positive Weyl chamber and s \in \mathbb{R...

Friday, 17 August, 2018
Victor Gorbenko, Slava Rychkov, Bernardo Zan

We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the...

Friday, 17 August, 2018
Seung-Joo Lee, Wolfgang Lerche, Timo Weigand

We test various conjectures about quantum gravity for six-dimensional string compactifications in the framework of F-theory. Starting with a gauge theory coupled to gravity, we analyze the limit...

Monday, 6 August, 2018
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli

We construct a formal global quantization of the Poisson Sigma Model in the BV-BFV formalism using the perturbative quantization of AKSZ theories on manifolds with boundary and analyze the...

Thursday, 2 August, 2018
Norbert Hungerbühler, Micha Wasem

We define a generalization of the winding number of a piecewise C1 cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computation of...

Wednesday, 1 August, 2018
Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi

The truncated two-point function of the ferromagnetic Ising model on \mathbb Z^d d\ge3 in its pure phases is proven to decay exponentially fast throughout the ordered regime (\beta>\beta_c...

Tuesday, 31 July, 2018
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli

We describe a framework to construct a perturbative quantization of nonlinear AKSZ Sigma Models on manifolds with and without boundary, and show that it captures the change of the quantum state...

Monday, 30 July, 2018
Matthias R. Gaberdiel, Wei Li, Cheng Peng

The universal enveloping algebra of {\cal W}_{1+\infty} is isomorphic to the affine Yangian of \mathfrak{gl}_1. We study the N=2 supersymmetric version of this correspondence, and identify the...