Thursday, 23 May, 2019
Marcos Marino, Tomas Reis

An important non-perturbative effect in quantum physics is the energy gap of superconductors, which is exponentially small in the coupling constant. A natural question is whether this effect can...

Thursday, 23 May, 2019
Marcos Marino, Tomas Reis

We present a systematic procedure to extract the perturbative series for the ground state energy density in the Lieb-Liniger and Gaudin-Yang models, starting from the Bethe ansatz solution. This...

Wednesday, 22 May, 2019
Andrea Manenti, Andreas Stergiou, Alessandro Vichi

We explore consequences of the Averaged Null Energy Condition (ANEC) for scaling dimensions \Delta of operators in four-dimensional \mathcal{N}=1 superconformal field theories. We show that in...

Wednesday, 22 May, 2019
Jaiyul Yoo, Ermis Mitsou, Yves Dirian, Ruth Durrer

The background photon temperature \bar T is one of the fundamental cosmological parameters. Despite its significance, \bar T has never been allowed to vary in the data analysis, owing to the...

Monday, 20 May, 2019
Alessio Figalli, Federico Glaudo

Given n≥3, consider the critical elliptic equation \Delta u + u^{2^*-1}=0 in \mathbb R^n with u>0. This equation corresponds to the Euler-Lagrange equation induced by the Sobolev embedding H^...

Monday, 20 May, 2019
Alberto S. Cattaneo, Nima Moshayedi

These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a mini course by...

Monday, 20 May, 2019
Jaiyul Yoo, Ermis Mitsou, Nastassia Grimm, Ruth Durrer, Alexandre Refregier

We develop a theoretical framework to describe the cosmological observables on the past light cone such as the luminosity distance, weak lensing, galaxy clustering, and the cosmic microwave...

Thursday, 16 May, 2019
Alexandre Homrich, Joao Penedones, Jonathan Toledo, Balt C. van Rees, Pedro Vieira

We explore the space of consistent three-particle couplings in \mathbb Z_2-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity,...

Wednesday, 15 May, 2019
Sébastien Ott, Yvan Velenik

We present a brief survey of rigorous results on the asymptotic behavior of correlations between two local functions as the distance between their support diverges, concentrating on the Ising...

Saturday, 11 May, 2019
Anton Khoroshkin, Thomas Willwacher

We give a description of the operad formed by the real locus of the moduli space of stable genus zero curves with marked points \overline{{\mathcal M}_{0,{n+1}}}({\mathbb R}) in terms of a...

Wednesday, 8 May, 2019
Johannes Alt, Raphaël Ducatez, Antti Knowles

We complete the analysis of the extremal eigenvalues of the the adjacency matrix A of the Erdős-Rényi graph G(N,d/N) in the critical regime d \asymp \log N of the transition uncovered in [arXiv:...

Friday, 3 May, 2019
Ermis Mitsou, Jaiyul Yoo, Ruth Durrer, Fulvio Scaccabarozzi, Vittorio Tansella

We develop the general theory of the angular N-point spectra and derive the cosmic variance on the light cone. While the angular bispectrum and the trispectrum are well developed in literature,...