4 papers
From classical Lax ODEs to quantum integrable theories: the moduli
Davide Fioravanti, Marco Rossi
The general idea of this paper is to start from a classical integrable (partial differential) equation which arises as a compatibility condition for a matrix linear differential pr…
On the origin of the correspondence between classical and quantum integrable theories
Davide Fioravanti, Marco Rossi
If we start from certain functional relations as definition of a quantum integrable theory, then we can derive from them a linear integral equation. It can be extended, by introduc…
Regular and Floquet bases for gauge and gravity theories: a non perturbative approach
Davide Fioravanti, Marco Rossi
The main topic of the paper is represented by the change of basis, in Heun-type equations, from the one of decaying (at two singular points) solutions to that of Floquet solutions.…
From Painlevé equations to susy gauge theories: prolegomena
Davide Fioravanti, Marco Rossi
We study the linear problems in (time) associated to the Painlevé III and III equations when the Painlevé solution approaches a pole or a zero. In this limit…