By using the notion of a rigid R-matrix in a monoidal category and the Reshetikhin--Turaev functor on the category of tangles, we review the definition of the associated invariant of long knots...
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Wednesday, 31 July, 2019
Proteins are a matter of dual nature. As a physical object, a protein molecule is a folded chain of amino acids with multifarious biochemistry. But it is also an instantiation along an...
arXiv:1907.13371
Tuesday, 30 July, 2019
Recently, string theory on \text{AdS}_3 \times \text{S}^3 \times \mathbb{T}^4 with one unit of NS-NS flux (k=1) was argued to be exactly dual to the symmetric orbifold of \mathbb{T}^4, and in...
arXiv:1907.13144
Tuesday, 30 July, 2019
Future galaxy clustering surveys will probe small scales where non-linearities become important. Since the number of modes accessible on intermediate to small scales is very high, having a...
arXiv:1907.13109
Monday, 29 July, 2019
We study metastable behavior in a discrete nonlinear Schrödinger equation from the viewpoint of Hamiltonian systems theory. When there are n < \infty sites in this equation, we consider...
arXiv:1907.12632
Thursday, 25 July, 2019
In this short paper we determine the effects of structure on the cosmological consistency relation which is valid in a perfect Friedmann Universe. We show that within \LambdaCDM the consistency...
arXiv:1907.11101
Tuesday, 23 July, 2019
In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values...
arXiv:1907.10061
Monday, 22 July, 2019
In this paper we prove the following long-standing conjecture: stable solutions to semilinear elliptic equations are bounded (and thus smooth) in dimension n \leq 9.
This result, that was...
arXiv:1907.09403
Thursday, 18 July, 2019
We study an equivariant extension of the Batalin-Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation...
arXiv:1907.07995
Thursday, 11 July, 2019
In this paper, we analyze a number of architectural features of Deep Neural Networks (DNNs), using the so-called Neural Tangent Kernel (NTK). The NTK describes the training trajectory and...
arXiv:1907.05715
Monday, 8 July, 2019
In this note, we study the action of O(d,d) transformations on the integrable structure of two-dimensional non-linear sigma models via the doubled formalism. We construct the Lax pairs...
arXiv:1907.03759
Monday, 8 July, 2019
Even though we know that physical observations are frame independent, the frame dependence of cosmological perturbations is relatively subtle and has led to confusion in the past. In this paper...
arXiv:1907.03606