We perform a unified systematic analysis of d+1 dimensional, spin \ell representations of the isometry algebra of the maximally symmetric spacetimes AdS_d+1, \mathbb{R}_{1,d} and dS_d+1. This...
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Saturday, 27 October, 2018
The Ratner property, a quantitative form of divergence of nearby trajectories, is a central feature in the study of parabolic homogeneous flows. Discovered by Marina Ratner and used in her...
arXiv:1810.11576
Friday, 26 October, 2018
We show that the loop O(n) model exhibits exponential decay of loop sizes whenever n\geq 1 and x<\tfrac{1}{\sqrt{3}}+\varepsilon(n), for some suitable choice of \varepsilon(n)>0.
It...
arXiv:1810.11302
Wednesday, 24 October, 2018
Fixed points of scalar field theories with quartic interactions in d=4-\varepsilon dimensions are considered in full generality. For such theories it is known that there exists a scalar function...
arXiv:1810.10541
Monday, 15 October, 2018
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...
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