4 papers
On Higgs bundles
Anton M. Zeitlin
We investigate the moduli space of holomorphic Higgs bundles over a compact Riemann surface. The supergroup , the simplest non-trivial example beyond abelian cas…
-systems and tropical geometry
Rahul Singh, Anton M. Zeitlin
We investigate the system of polynomial equations, known as -systems, which are closely related to the so-called Bethe ansatz equations of the XXZ spin chain, using the methods…
The BV double of a Courant algebroid
Anton M. Zeitlin
We characterize a Courant algebroid with a Calabi-Yau structure as a homotopy BV algebra with certain properties. We explain how it fits into recent double copy constructions relat…
Geometric realizations of the Bethe ansatz equations
Anton M. Zeitlin
These lecture notes are devoted to the recent progress in the geometric aspects of quantum integrable systems based on quantum groups solved using the Bethe ansatz technique. One p…