6533b824fe1ef96bd128163a

RESEARCH PRODUCT

Abelian current algebra and the Virasoro algebra on the lattice

A. Yu. VolkovL. D. FaddeevL. D. Faddeev

subject

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 physics

description

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.

https://doi.org/10.1016/0370-2693(93)91618-w