128 citations · 132 across the 4 of their papers we have counts for
5 papers
A note on the super Krichever map
Gregorio Falqui, Cesare Reina, Alessandro Zampa
We consider the geometrical aspects of the Krichever map in the context of Jacobian Super KP hierarchy. We use the representation of the hierarchy based on the Faa` di bruno recurs…
A[Sl_q(2)] at roots of unity is a free module over A[Sl(2)]
Ludwik Dabrowski, Cesare Reina, Alessandro Zampa
It is shown that when q is a primitive root of unity of order not equal to 2 mod 4, A(SL_q(2)) is a free module of finite rank over the coordinate ring of the classical group SL(2)…
Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy
Gregorio Falqui, Cesare Reina, Alessandro Zampa
We generalize to the supersymmetric case the representation of the KP hierarchy as a set of conservation laws for the generating series of the conserved densities. We show that the…
3D superconformal theories from Sasakian seven-manifolds: new nontrivial evidences for AdS_4/CFT_3
Davide Fabbri, Pietro Fre', Leonardo Gualtieri +4
In this paper we discuss candidate superconformal N=2 gauge theories that realize the AdS/CFT correspondence with M--theory compactified on the homogeneous Sasakian 7-manifolds M^7…
Krichever Maps, Faa' di Bruno Polynomials, and Cohomology in KP Theory
Gregorio Falqui, Cesare Reina, Alessandro Zampa
We study the geometrical meaning of the Faa' di Bruno polynomials in the context of KP theory. They provide a basis in a subspace W of the universal Grassmannian associated to the…