The Zoo of Opers and Dualities

Author:

Koroteev Peter1,Zeitlin Anton M2

Affiliation:

1. Department of Mathematics , University of California, Berkeley, CA 94720, USA, and NHETC, Rutgers University

2. Department of Mathematics , Louisiana State University, Baton Rouge, LA 70803, USA

Abstract

Abstract We investigate various spaces of $SL(r+1)$-opers and their deformations. For each type of such opers, we study the quantum/classical duality, which relates quantum integrable spin chains with classical solvable many body systems. In this context, quantum/classical dualities serve as an interplay between two different coordinate systems on the space of opers. We also establish correspondences between the underlying oper spaces, which recently had multiple incarnations in symplectic duality and bispectral duality.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference57 articles.

1. “Baxter Q-operators and representations of Yangians;Bazhanov;Nucl. Phys.

2. Integrable structure of conformal field theory. 3. The Yang-Baxter Relation;Bazhanov;Commun. Math. Phys.,1999

3. Trigonometric version of quantum-classical duality;Beketov;Nucl. Phys. B,2016

4. Total positivity in Schubert varieties;Berenstein;Comment. Math. Helvet.,1997

5. Parametrizations of canonical bases and totally positive matrices;Berenstein;Adv. Math.,1996

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