Using a modified foam evaluation, we give a categorification of the Alexander polynomial of a knot. We also give a purely algebraic version of this knot homology which makes it appear as the...

# Publications for year 2019

## Pages

We provide a finite dimensional categorification of the symmetric evaluation of \mathfrak{sl}_N-webs using foam technology. As an output we obtain a symmetric link homology theory categorifying...

We present state sums for quantum link invariants arising from the representation theory of U_q(\mathfrak{gl}_{N|M}). We investigate the case of the N-th exterior power of the standard...

Recently, we constructed the first-principle derivation of the holographic dual of N=4 SYM in the double-scaled γ-deformed limit directly from the CFT side. The dual fishchain model is a novel...

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...

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...

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...

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...

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...

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...

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...

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...