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...
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Thursday, 26 September, 2019
arXiv:1909.12134
Wednesday, 25 September, 2019
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...
arXiv:1909.11551
Friday, 20 September, 2019
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...
arXiv:1909.09707
Wednesday, 18 September, 2019
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...
arXiv:1909.08642
Thursday, 12 September, 2019
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...
arXiv:1909.05900
Tuesday, 10 September, 2019
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...
arXiv:1909.04652
Thursday, 5 September, 2019
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...
arXiv:1909.02571
Thursday, 5 September, 2019
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...
arXiv:1801.02244
Thursday, 5 September, 2019
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...
arXiv:1902.05648
Thursday, 5 September, 2019
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...
arXiv:1909.02305
Tuesday, 3 September, 2019
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...
arXiv:1909.01269
Tuesday, 27 August, 2019
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...
arXiv:1908.10379