# HIERARCHY OF QUANTUM EXPLICITLY SOLVABLE AND INTEGRABLE MODELS

@article{Pogrebkov2002HIERARCHYOQ, title={HIERARCHY OF QUANTUM EXPLICITLY SOLVABLE AND INTEGRABLE MODELS}, author={Andrei K. Pogrebkov}, journal={arXiv: Exactly Solvable and Integrable Systems}, year={2002}, pages={231-244} }

Realizing bosonic field v(x) as current of massless (chiral) fermions we derive hierarchy of quantum polynomial interactions of the field v(x) that are completely integrable and lead to linear evolutions for the fermionic field. It is proved that in the classical limit this hierarchy reduces to the dispersionless KdV hierarchy. Application of our construction to quantization of generic completely integrable interaction is demonstrated by example of the mKdV equation.

## 3 Citations

### $$ T\overline{T} $$-deformation and long range spin chains

- PhysicsJournal of High Energy Physics
- 2020

Abstract
We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the $$…

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