Statistical Physics seminar on Tuesday

[Cond.Matt. & Stat.Mech.Section]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

 

Tuesday, 26 November   -   11:00 a.m.


 

SISSA, Santorio Building, Room 128 (1st Floor)

 

Yaroslav PUGAI    ( L.D. Landau Institute for Theoretical Physics, Moscow )



"Algebraic approach to descendant form factors: Macdonald polynomials and null vectors"

 

Abstract

 
We give a short review of recent results (obtained together with M. Lashkevich) on descendant form factors in sinh-Gordon and sine-Gordon models. We demonstrate that in algebraic approach one can find the equations between the form factors of scaling fields which are analogous to null vector equations of the correspondent CFT. In free field approach to CFT the null vectors are related with Jack polynomials. We show that for perturbed massive case the story is very similar but null vector descendants are related with the Macdonald polynomials with the special parameters q=-t and |q|=1. We briefly discuss the relation with the Deformed Virasoro Algebra null vectors as well as some applications of the construction to deriving higher spins equations of motion and form factors of fields satisfying a resonance condition.