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Sunday, 11 June, 2017
Federico Piazza, David Pirtskhalava, Riccardo Rattazzi, Olivier Simon

The spectrum of primordial gravitational waves is one of the most robust inflationary observables, often thought of as a direct probe of the energy scale of inflation. We present a simple model...

arXiv:1706.03402
Friday, 9 June, 2017
Thomas Willwacher

We study two colored operads of configurations of little n-disks in a unit n-disk, with the centers of the small disks of one color restricted to an m-plane, m<n. We compute the rational...

arXiv:1706.02945
Friday, 9 June, 2017
Daniel Ahlberg, Vincent Tassion, Augusto Teixeira

We consider the Poisson Boolean percolation model in R2, where the radii of each ball is independently chosen according to some probability measure with finite second moment. For this model, we...

arXiv:1706.03053
Thursday, 8 June, 2017
Tarek Anous, Thomas Hartman, Antonin Rovai, Julian Sonner

Correlators in conformal field theory are naturally organized as a sum over conformal blocks. In holographic theories, this sum must reorganize into a path integral over bulk fields and...

arXiv:1706.02668
Sunday, 4 June, 2017
Tudor Ratiu, Christophe Wacheux, Nguyen Tien Zung

This work is devoted to a systematic study of symplectic convexity for integrable Hamiltonian systems with elliptic and focus-focus singularities. A distinctive feature of these systems is that...

arXiv:1706.01093
Thursday, 1 June, 2017
Anthony M. Bloch, François Gay-Balmaz, Tudor S. Ratiu

We show that the Flaschka map, originally introduced to analyze the dynamics of the integrable Toda lattice system, is the inverse of a momentum map. We discuss the geometrical setting of the...

Comm. Math. Phys., 352(2), 457-517
Wednesday, 31 May, 2017
Tudor Ratiu, Nguyen Tien Zung

In this paper, we extend the Atiyah--Guillemin--Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic manifolds. We also define and study the...

arXiv:1705.11110
Thursday, 25 May, 2017
Antonio Amariti, Domenico Orlando, Susanne Reffert

We present a new family of dualities for three-dimensional gauge theories, motivated by the brane realization of the reduction of four-dimensional dualities on a circle. This family can be...

arXiv:1705.09297
Tuesday, 23 May, 2017
Anton Khoroshkin, Thomas Willwacher

We study the action of the orthogonal group on the little n-disks operads. As an application we provide small models (over the reals) for the framed little n-disks operads. It follows in...

arXiv:1705.08108
Monday, 22 May, 2017
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion

We prove that for Voronoi percolation on \mathbb{R}^d, there exists p_c\in[0,1] such that
- for p<pc, there exists cp>0 such that \mathbb{P}_p[0\text{...

arXiv:1705.07978
Tuesday, 16 May, 2017
Jaiyul Yoo, Ruth Durrer

Theoretical descriptions of observable quantities in cosmological perturbation theory should be independent of coordinate systems. This statement is often referred to as gauge-invariance of...

arXiv:1705.05839
Tuesday, 16 May, 2017
Christoph A. Keller, Gregoire Mathys, Ida G. Zadeh

Genus two partition functions of 2d chiral conformal field theories are given by Siegel modular forms. We compute their conformal blocks and use them to perform the conformal bootstrap. The...

arXiv:1705.05862