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N. Reshetikhin

Publications and source records attributed to N. Reshetikhin.

18 recordsLinked to original sources
arXiv2025

The design of the data acquisition system for SPD experiment

The Spin Physics Detector (SPD) experiment at the NICA collider in JINR aims to investigate the spin structure of nucleons and spin-related phenomena. The combination of the number of background processes, the event rate and conditions for event selection makes the use of a classical trigger system impractical, requiring a triggerless data acquisition (DAQ) system. The DAQ system is designed to ensure precise time synchronization, efficient data collection, and high-throughput processing. Its architecture combines commercially available FPGA-based modules and high-speed optical interfaces with custom-developed components based on widely accessible technologies. This approach provides scalability from 180,000 at the initial stage of the experiment to more than 600,000 detector channels in the final configuration and supports data rates up to 20 GB/s or more. The modular system design ensures adaptability for future upgrades while maintaining high efficiency and reliability. Such an approach makes the DAQ system suitable for other high-rate nuclear physics experiments.

physics.ins-det↗
arXiv2020

Spin Calogero-Moser models on symmetric spaces

In this paper we construct and prove superintegrability of spin Calogero-Moser type systems on symplectic leaves of $K_1\backslash T^*G/K_2$ where $K_1,K_2\subset G$ are subgroups. We call them two sided spin Calogero-Moser systems. One important type of such systems correspond to $K_1=K_2=K$ where $K$ is a subgroup of fixed points of Chevalley involution $θ: G\to G$. The other important series of examples come from pair $G\subset G\times G$ with the diagonal embedding. We explicitly describe examples of such systems corresponding to symplectic leaves of rank one when $G=SL_n$.

math-ph↗
arXiv2019

Superintegrable Systems on Moduli Spaces of Flat Connections

The main result of this paper is the construction of a family of superintegrable Hamiltonian systems on moduli spaces of flat connections on a principle $G$-bundle on a surface. The moduli space is a Poisson variety with Atiyah-Bott Poisson structure. Among particular cases of such systems are spin generalizations of Ruijsenaars-Schneider models.

math-ph↗
arXiv2015

Degenerate integrability of quantum spin Calogero--Moser systems

The main result of this note is the proof of degenerate quantum integrability of quantum spin Calogero--Moser systems and the description of the spectrum of quantum Hamiltonians in terms of the decomposition of tensor products of irreducible representations of corresponding Lie algebra.

math-ph↗
arXiv2010

The 6-vertex model with fixed boundary conditions

We study the 6-vertex model with fixed boundary conditions. In the thermodynamical limit there is a formation of the limit shape. We collect most of the known results about the analytical properties of the free energy of the model as the function of electric fields and study the asymptotical behavior near singularities. We also study the asymptotic of limit shapes and the structure of correlation functions in the bulk.

math-ph↗
arXiv2010

Invariants of tangles with flat connections in their complements

Let G be a simple complex algebraic group. By using a notion of a G-category we define invariants of tangles with flat G-connections in their complements. We also show that quantized universal enveloping algebras at roots of unity provide examples of G-categories.

math.QA↗
arXiv2010

Lectures on quantization of gauge systems

A gauge system is a classical field theory where among the fields there are connections in a principal G-bundle over the space-time manifold and the classical action is either invariant or transforms appropriately with respect to the action of the gauge group. The lectures are focused on the path integral quantization of such systems. Here two main examples of gauge systems are Yang-Mills and Chern-Simons.

math-ph↗
arXiv2009

Asymptotic shapes with free boundaries

We study limit shapes for dimer models on domains of the hexagonal lattice with free boundary conditions. This is equivalent to the large deviation phenomenon for a random stepped surface over domains fixed only at part of the boundary.

math-ph↗
arXiv2004

Braiding for the quantum gl_2 at roots of unity

In our preceding papers we started considering the categories of tangles with flat G-connections in their complements, where G is a simple complex algebraic group. The braiding (or the commutativity constraint) in such categories satisfies the holonomy Yang-Baxter equation and it is this property which is essential for our construction of invariants of tangles with flat G-connections in their complements. In this paper, to any pair of irreducible modules over the quantized universal enveloping algebra of gl_2 at a root of unity, we associate a solution of the holonomy Yang-Baxter equation.

math.QA↗
arXiv2003

Hopf algebras with trace and representations

We study the restriction of representations of Cayley-Hamilton algebras to subalgebras. This theory is applied to determine tensor products and branching rules for representations of quantum groups at roots of 1.

math.QA↗
arXiv2002

Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems

It is shown that spin Calogero-Moser systems are completely integrable in a sense of degenerate integrability. Their Liouville tori have dimension less then half of the dimension of the phase space. It is also shown that rational spin Ruijsenaars systems are degenerately integrable and dual to spin Calogero- Moser systems in a sense that action-algle variables of one are angle-action variables of the other.

math.QA↗
arXiv1997

Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras I. The case of Virasoro algebra

We propose a q-difference version of the Drinfeld-Sokolov reduction scheme, which gives us q-deformations of the classical W-algebras by reduction from Poisson-Lie loop groups. We consider in detail the case of SL(2). The nontrivial consistency conditions fix the choice of the classical r-matrix defining the Poisson-Lie structure on the loop group LSL(2), and this leads to a new elliptic classical r-matrix. The reduced Poisson algebra coincides with the deformation of the classical Virasoro algebra previously defined in q-alg/9505025. We also consider a discrete analogue of this Poisson algebra. In the second part (q-alg/9702016) the construction is generalized to the case of an arbitrary semisimple Lie algebra.

q-alg↗
arXiv1995

Affine Toda field theory as a 3-dimensional integrable system

The affine Toda field theory is studied as a 2+1-dimensional system. The third dimension appears as the discrete space dimension, corresponding to the simple roots in the $A_N$ affine root system, enumerated according to the cyclic order on the $A_N$ affine Dynkin diagram. We show that there exists a natural discretization of the affine Toda theory, where the equations of motion are invariant with respect to permutations of all discrete coordinates. The discrete evolution operator is constructed explicitly. The thermodynamic Bethe ansatz of the affine Toda system is studied in the limit $L,N\to\infty$. Some conjectures about the structure of the spectrum of the corresponding discrete models are stated.

hep-th↗