The goal of this paper is to investigate the Theta invariant --- an invariant of framed 3-manifolds associated with the lowest order contribution to the Chern-Simons partition function --- in...
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Monday, 15 October, 2018
arXiv:1810.06663
Friday, 12 October, 2018
Uniform integer-valued Lipschitz functions on a domain of size N of the triangular lattice are shown to have variations of order \sqrt{\log N}.
The level lines of such functions form a...
arXiv:1810.05592
Thursday, 11 October, 2018
We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar...
arXiv:1810.05169
Monday, 8 October, 2018
This text describes the content of the Takagi lectures given by the author in Kyoto in 2017. The lectures present some aspects of the theory of sharp thresholds for boolean functions and its...
arXiv:1810.03384
Thursday, 4 October, 2018
In this paper we give an overview of some recent progress in using holography to study various far-from-equilibrium condensed matter systems. Non-equilibrium problems are notoriously difficult...
arXiv:1810.02367
Friday, 21 September, 2018
We give a proof of the replica symmetric formula for the free energy of the Sherrington-Kirkpatrick model in high temperature which is based on the TAP formula. This is achieved by showing that...
arXiv:1809.07972
Tuesday, 18 September, 2018
We describe new graphical models of the framed little disks operads which exhibit large symmetry dg Lie algebras.
arXiv:1809.06918
Tuesday, 18 September, 2018
We propose a cosmological scenario involving a single scalar field, \varphi, that is a source of Dark Matter as well as Dark Energy. The Lagrangian density of \varphi contains a second field \...
arXiv:1809.07409
Monday, 17 September, 2018
In this note, we perform the large-charge expansion for non-relativistic systems with a global U(1) symmetry in 3+1 and 2+1 space-time dimensions, motivated by applications to the unitary Fermi...
arXiv:1809.06371
Friday, 14 September, 2018
In this work we investigate the phenomena associated with the new thresholds in the spectrum of excitations arising when different one-dimensional strongly interacting systems are voltage biased...
arXiv:1809.05537
Sunday, 9 September, 2018
The aim of this note is to review some recent developments on the regularity theory for the stationary and parabolic obstacle problems. After a general overview, we present some recent results...
arXiv:1809.02932
Thursday, 6 September, 2018
We give an infinite family of congruent number elliptic curves, each with rank at least two, which are related to integral solutions of m^2=n^2+nl+l^2.
arXiv:1809.02037