## Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram

- A. Okounkov, N. Reshetikhin
- Mathematics, Computer Science
- 6 July 2001

## Quantum Calabi-Yau and Classical Crystals

- A. Okounkov, N. Reshetikhin, C. Vafa
- Mathematics
- 22 September 2003

We propose a new duality involving topological strings in the limit of the large string coupling constant. The dual is described in terms of a classical statistical mechanical model of crystal… Expand

## Central extensions of quantum current groups

- N. Reshetikhin, M. Semenov-Tian-Shansky
- Mathematics
- 1 February 1990

We describe Hopf algebras which are central extensions of quantum current groups. For a special value of the central charge, we describe Casimir elements in these algebras. New types of generators… Expand

## Gaudin model, Bethe Ansatz and critical level

- B. Feigin, E. Frenkel, N. Reshetikhin
- Mathematics
- 3 February 1994

We propose a new method of diagonalization oif hamiltonians of the Gaudin model associated to an arbitrary simple Lie algebra, which is based on the Wakimoto modules over affine algebras at the… Expand

## Yang-Baxter equation and representation theory: I

- P. Kulish, N. Reshetikhin, E. Sklyanin
- Mathematics
- 1 September 1981

The problem of constructing the GL(N,ℂ) solutions to the Yang-Baxter equation (factorizedS-matrices) is considered. In caseN=2 all the solutions for arbitrarily finite-dimensional irreducible… Expand

## Integrability of the principal chiral field model in 1 + 1 dimension

- L. Faddeev, N. Reshetikhin
- Physics
- 1 April 1986

## Restricted solid-on-solid models connected with simply laced algebras and conformal field theory

- V. Bazhanov, N. Reshetikhin
- Mathematics
- 7 May 1990

The spectrum of row-to-row transfer matrices in critical RSOS models of An type is described explicitly. The thermodynamics of the quantum one-dimensional RSOS model is used to compute values of… Expand

## Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)

- P. Kulish, N. Reshetikhin
- Mathematics, Physics
- 11 November 1983

The algebraic Bethe ansatz is constructed for the GL(N) invariant transfer matrices with arbitrary GL(N) spin. For this purpose the notion of vacuum subspace is introduced. It is shown that the GL(N)… Expand

## Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1

- E. Frenkel, N. Reshetikhin
- Mathematics
- 22 May 1995

Using the Wakimoto realization of quantum affine algebras we define new Poisson algebras, which areq-deformations of the classicalW. We also define their free field realizations, i.e. homomorphisms… Expand

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