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We consider decision problems on finite sets of hypotheses represented by pairwise different shift-invariant states on a quantum spin chain. The decision in favor of one of the hypotheses is based on ...
We derive an effective recursion for Witten’s r-spin intersection numbers, using Witten’s conjecture relating r-spin numbers to the Gel’fand-Dikii hierarchy (Theorem 4.1). Consequences include closed-...
Abstract: We give a presentation of the centralizer algebras for tensor products of spinor representations of quantum groups via generators and relations. In the even-dimensional case, this can be des...
Abstract: This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite or finite-...
Abstract: We give an interpretation in terms of the Lie group Spin(9) of the maximal number of linearly independent vector fields on odd dimensional spheres.
The Liouville space spin relaxation theory equations are reformulated in such a way as to avoid the computationally expensive Hamiltonian diagonalization step, replacing it by numerical evaluation of ...
We find new examples of compact Spin(7)-manifolds using a construction of Joyce [18, 19]. The essential ingredient in Joyce’s construction is a Calabi–Yau 4-orbifold with particular singularities admi...
We study the quantum group deformation of the Lorentzian EPRL spin-foam model. The construction uses the harmonic analysis on the quantum Lorentz group. We show that the quantum group spin-foam model...
This paper is devoted to integrable gl(n|m) spin chains which allow for for-mulation of the string hypothesis. Considering the thermodynamic limit of such spin chains, we derive linear functional equa...
We prove the asymptotic stability of 1:1 spin orbit resonance for a stiff viscoelastic rotationally invariant satellite. The main point is that we do not assume any dissipation on the orbital degrees ...
We construct the q-deformed version of two four-dimensional spin foam models, the Eu-clidean and Lorentzian versions of the EPRL model. The q-deformed models are based on the representation theory of ...
We show that there is a topological (Berry phase) term in the non-linear  model description of the SO(5) spin chain. It distinguishes the linear and projective repre-sentations of the SO(5) symmetry ...
We give a review of the theories of [FJR] and the theory of [JKV]and prove that for the singularity Ar−1 = xr (with the group G = μr), the stack of Ar−1-curves of [FJR] is canonically isom...
We present series study of using the method of super-symmetric quantum mechanics(SUSYQM) solving the spin-weighted spheroidal wave equation. In this paper, we obtain the first four terms of super-pot...

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