A field-theoretic operator model and Cowen–Douglas class

A field-theoretic model for Hodge theory

We demonstrate that the four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory presents a tractable field theoretical model for the Hodge theory where the well-defined symmetry transformations correspond to the de Rham cohomological operators of differential geometry. The conserved charges, corresponding to the above continuous symmetry transformations, obey an algebra that is reminisce...

Model-theoretic Aspects of the Gurarij Operator System

We establish some of the basic model theoretic facts about the Gurarij operator system GS recently constructed by the second-named author. In particular, we show: (1) GS is the unique separable 1-exact existentially closed operator system; (2) GS is the unique separable nuclear model of its theory; (3) every embedding of GS into its ultrapower is elementary; (4) GS is the prime model of its the...

The convexity of the integral operator on the class of the integral operator on the class B(mu,alpha)

In this paper, we study the convexity of the integral operator

A field theoretic model for the Hodge theory

We demonstrate that the four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory presents a tractable field theoretical model for the Hodge theory where the well-defined symmetry transformations correspond to the de Rham cohomological operators of differential geometry. The conserved charges, corresponding to the above continuous symmetry transformations, obey an algebra that is reminisce...

A Discrete-Operator Interpolation Solution of the Phase-Field Model