We study the two-dimensional rotating shallow-water model describing Earth's oceanic layers. It is formally analogue to a Schrödinger equation where the tools from topological insulators are...
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Thursday, 2 January, 2020
arXiv:2001.00439
Thursday, 26 December, 2019
In this paper we study gravitational lensing of gravitational wave events. The main point of the present work is to introduce a semi-analytic approach so that each ingredient can be varied and...
arXiv:1912.11916
Monday, 23 December, 2019
We argue that nonperturbative CFT correlation functions admit a Mellin amplitude representation. Perturbative Mellin representation readily follows. We discuss the main properties of...
arXiv:1912.11100
Saturday, 21 December, 2019
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surface is two,...
arXiv:1912.10250
Wednesday, 18 December, 2019
We propose a new non-perturbative method for studying UV complete unitary quantum field theories (QFTs) with a mass gap in general number of spacetime dimensions. The method relies on unitarity...
arXiv:1912.08940
Tuesday, 17 December, 2019
We prove that the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian. A similar...
arXiv:1912.07973
Sunday, 15 December, 2019
We characterize genera of even unimodular Z-lattices admitting an isometry of a given odd prime order. If the lattice is moreover indefinite, this leads to a classification of conjugacy classes...
arXiv:1912.07119
Thursday, 12 December, 2019
According to standard lore, perturbative series of super-renormalizable theories have only instanton singularities. In this paper we show that two-dimensional scalar theories with a...
arXiv:1912.06228
Friday, 6 December, 2019
We develop new tools for isolating CFTs using the numerical bootstrap. A "cutting surface" algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces....
arXiv:1912.03324
Thursday, 5 December, 2019
The Einstein Telescope (ET), a proposed European ground-based gravitational-wave detector of third-generation, is an evolution of second-generation detectors such as Advanced LIGO, Advanced...
arXiv:1912.02622
Thursday, 5 December, 2019
Integrable deformations of type IIB superstring theory on \mathrm{AdS}_5\times S^5 have played an important role over the last years. The Yang-Baxter deformation is a systematic way of...
arXiv:1912.02553
Thursday, 5 December, 2019
Our goal is to review the known theory on the one-dimensional obstacle problem for the wave equation, and to discuss some extensions. We introduce the setting established by Schatzman within...
arXiv:1912.02539