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Friday, 15 February, 2019
Adam Falkowski, Riccardo Rattazzi

We classify effective field theory (EFT) deformations of the Standard Model (SM) according to the analyticity property of the Lagrangian as a function of the Higgs doublet H. Our distinction in...

arXiv:1902.05936
Thursday, 14 February, 2019
Chiara Camere, Alberto Cattaneo, Andrea Cattaneo

We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a K3 surface and admitting a non-symplectic involution. We classify the possible...

arXiv:1902.05397
Wednesday, 13 February, 2019
Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, Maryna Viazovska

We prove that the E8 root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions 8 and 24, respectively. In other words,...

arXiv:1902.05438
Monday, 11 February, 2019
Grigory Mikhalkin, Stepan Orevkov

This is a sequel to the paper \cite{MO-mw} which identified maximally writhed algebraic links in $\rp^3$ and classified them topologically. In this paper we prove that all maximally writhed...

arXiv:1902.03910
Friday, 8 February, 2019
Matteo Bonforte, Alessio Figalli

We investigate the homogeneous Dirichlet problem for the Fast Diffusion Equation u_t=\Delta u^m, posed in a smooth bounded domain \Omega\subset \mathbb{R}^N, in the exponent range m_s=(N-2)_+/(N...

arXiv:1902.03189
Friday, 8 February, 2019
Hugo Duminil-Copin, Gady Kozma, Vincent Tassion

We study the size of the near-critical window for Bernoulli percolation on \mathbb Z^d. More precisely, we use a quantitative Grimmett-Marstrand theorem to prove that the correlation length,...

arXiv:1902.03207
Saturday, 26 January, 2019
Stefano Marmi, Corinna Ulcigrai, Jean-Christophe Yoccoz

We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m) and translation surfaces: the \emph{absolute Roth type condition} is a weakening of the notion of...

arXiv:1901.09191
Thursday, 24 January, 2019
Hugo Duminil-Copin, Vincent Tassion

The study of crossing probabilities - i.e. probabilities of existence of paths crossing rectangles - has been at the heart of the theory of two-dimensional percolation since its beginning. They...

arXiv:1901.08294
Wednesday, 23 January, 2019
Seung-Joo Lee, Wolfgang Lerche, Timo Weigand

We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N=1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six...

arXiv:1901.08065
Sunday, 30 December, 2018
Chiara Camere, Alberto Cattaneo, Robert Laterveer

We consider a 10-dimensional family of Lehn-Lehn-Sorger-van Straten hyperkähler eightfolds which have a non-symplectic automorphism of order 3. Using the theory of finite-dimensional motives, we...

arXiv:1812.11554
Friday, 28 December, 2018
Matthias Blau, Keita Kaniba Mady, K.S. Narain, George Thompson

The path integral for the partition function of Chern-Simons gauge theory with a compact gauge group is evaluated on a general Seifert 3-manifold. This extends previous results and relies on...

arXiv:1812.10966
Friday, 28 December, 2018
Enis Belgacem, Andreas Finke, Antonia Frassino, Michele Maggiore

We study the impact of the limit on |\dot{G}|/G from Lunar Laser Ranging on "nonlocal gravity", i.e. on models of the quantum effective action of gravity that include nonlocal terms relevant in...

arXiv:1812.11181

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