In integrable field theories in two dimensions, the Bethe ansatz can be used to compute exactly the ground state energy in the presence of an external field coupled to a conserved charge. We...

# Publications

## Pages

Given a closed surface endowed with a volume form, we equip the space of compatible Riemannian structures with the structure of an infinite-dimensional symplectic manifold. We show that the...

The main purpose of this paper is to investigate commuting flows and integrable systems on the configuration spaces of planar linkages. Our study leads to the definition of a natural volume form...

We investigate four-dimensional near-conformal dynamics by means of the large-charge limit. We first introduce and justify the formalism in which near-conformal invariance is insured by adding a...

We obtain a formula for the number of horizontal equilibria of a planar convex body K with respect to a center of mass O in terms of the winding number of the evolute of \partial K with respect...

We study the sensitivity of the computed orbits for the Kepler problem, both for continuous space, and discretizations of space. While it is known that energy can be very well preserved with...

We apply the large-charge expansion to O(N) vector models starting from first principles, focusing on the Wilson-Fisher point in three dimensions. We compute conformal dimensions at zero and...

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...

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...

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...

We study the scaling dimension \Delta_{\phi^n} of the operator \phi^n where \phi is the fundamental complex field of the U(1) model at the Wilson-Fisher fixed point in d=4-\varepsilon. Even for...

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...