0000000000560308

AUTHOR

A. Yu. Volkov

showing 2 related works from this author

Abelian current algebra and the Virasoro algebra on the lattice

1993

We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws.

High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsConservation lawPure mathematicsHigh Energy Physics::Lattice010102 general mathematicsCurrent algebraFOS: Physical sciences01 natural sciencesNonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)Discrete time and continuous timeLattice (order)0103 physical sciencesVirasoro algebra0101 mathematicsAbelian group010306 general physicsPhysics Letters B
researchProduct

The new results on lattice deformation of current algebra

2008

The topic “Quantum Integrable Models” was reviewed in the literature and presented to the conferences and schools many times. Only the reports of our own have been done on quite a few occasions (see, e.g., [1], [2]). So here we shall try to present a fresh approach to the description of the ingredients of construction of integrable models. It has gradually evolved in the process of our joint work. Whereas our goal was the Sugawara construction for the lattice affine algebra (known now as the St.Petersburg algebra), (see, e.g., [1]), some technical developments happen to be new and useful for the already developed subjects. Here we shall underline this development.

AlgebraSymmetric algebraFiltered algebraQuantum affine algebraCurrent algebraDivision algebraAlgebra representationCellular algebraLie conformal algebraMathematics
researchProduct