209 citations · 1.4k across the 70 of their papers we have counts for
4 papers · 2 filters
q-deformed W-algebras and elliptic algebras
J. Avan, L. Frappat, M. Rossi +1
The elliptic algebra A_{q,p}(sl(N)_{c}) at the critical level c=-N has an extended center containing trace-like operators t(z). Families of Poisson structures, defining q-deformati…
Universal construction of W_{p,q} algebras
J. Avan, L. Frappat, M. Rossi +1
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) ge…
Central extensions of classical and quantum q-Viraroso algebras
J. Avan, L. Frappat, M. Rossi +1
We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra A_{q,p}[sl(N)_c]. After establishing…
Deformed W_N algebras from elliptic sl(N) algebras
J. Avan, L. Frappat, M. Rossi +1
We extend to the sl(N) case the results that we previously obtained on the construction of W_{q,p} algebras from the elliptic algebra A_{q,p}(\hat{sl}(2)_c). The elliptic algebra A…