Aleksandr Komlov
A Grassmannian noncommutative U(1) sigma model and BargmannFock space
We consider a Grassmanian version of the static noncommutative U(1) sigma model. It is defined by the quadratic energy functional $E(P)=[a,P]^2_{HS}$, where a:H\to H is the standard annihilation operator and P is an orthogonal projection in H. We use the BargmannFock realization of H to describe all solutions P of rank 1 and to prove that the operator [a,P] is densely defined, when P is some BPSsolution of infinite rank and corank.
