New integrable models from (non-commutative) deformation quantization

Eugene Skvortsov (U of Mons)

Sep 08. 2020, 15:30 — 16:30

We present a new class of classical integrable models that originates from deformations of associative algebras. 

We show that each deformation of an associaitive algebra can be used to construct a certain strong homotopy algebra that equipes us with a nilpotent differential in the target space and the integrable model can be written as the AKSZ-model. Integrability is demonstrated via a Lax pair and by explicitly constructing the general solution of the equations. 

A large class of such deformations originates from the deformation quantization of Poisson manifolds equipped with discrete symmetries - Poisson Orbifolds. The relation of this construction to Higher Spin Gravities and to dualities in Chern-Simons matter theories is briefly discussed. 

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory - partially postponed (Thematic Programme)
Anton Alekseev (U Genève)
Stefan Fredenhagen (U of Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)