Double Ramification Cycles and Quantum Integrable Systems

  title={Double Ramification Cycles and Quantum Integrable Systems},
  author={A. Buryak and P. Rossi},
  journal={Letters in Mathematical Physics},
In this paper, we define a quantization of the Double Ramification Hierarchies of Buryak (Commun Math Phys 336:1085–1107, 2015) and Buryak and Rossi (Commun Math Phys, 2014), using intersection numbers of the double ramification cycle, the full Chern class of the Hodge bundle and psi-classes with a given cohomological field theory. We provide effective recursion formulae which determine the full quantum hierarchy starting from just one Hamiltonian, the one associated with the first descendant… Expand
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