We study various non-perturbative approaches to the quantization of the Seiberg-Witten curve of {\cal N}=2, SU(2) super Yang-Mills theory, which is closely related to the modified Mathieu...
Publications
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Monday, 19 August, 2019
arXiv:1908.07065
Saturday, 3 August, 2019
We explore the heat current in the quantum Hall edge at filling factors \nu = 1 and \nu = 2 in the presence of dissipation. Dissipation arises in the compressible strip forming at the edge in...
arXiv:1908.01213
Wednesday, 31 July, 2019
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...
arXiv:1908.00118
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