Universal construction of W_{p,q} algebras

Jean Avan (1) , L. Frappat (2) , M. Rossi (2) , P. Sorba (2)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

We present a direct construction of abstract generators for q-deformed W_N algebras. This procedure hinges upon a twisted trace formula for the elliptic algebra A_{q,p}(sl(N)_c) generalizing the previously known formulae for quantum groups.

Domaines: Algèbres quantiques [math.QA]

Jean Avan, L. Frappat, M. Rossi, P. Sorba. Universal construction of W_{p,q} algebras. Communications in Mathematical Physics, 1999, 202, pp.445. ⟨hal-00376604⟩