4 papers
Isoenergetic degeneracy generically creates meandering invariant tori
Vadim Kaloshin, Illya Koval, Yi Pan
Consider the set of isoenergetically degenerate integrable Hamiltonians with two degrees of freedom. We show that a cusp-generic perturbation of a generic Hamiltonian in this set g…
Chiral algebra, Wilson lines, and mixed Hodge structure of Coulomb branch
Yutong Li, Yiwen Pan, Wenbin Yan
We find an intriguing relation between the chiral algebra and the mixed Hodge structure of the Coulomb branch of four dimensional superconformal field theories. W…
Mirror symmetry for 4d class- theories: modularity, defects and Coulomb branch
Yiwen Pan, Wenbin Yan
This is the companion paper of the letter arXiv:2410.15695, containing all the details and series of examples on a 4d mirror symmetry for the class- theories which rel…
Mirror symmetry for circle compactified 4d class- theories
Yiwen Pan, Wenbin Yan
In this letter, we propose a 4d mirror symmetry for the class- theories which relates the representation theory of the chiral quantization of the Higgs branch and the…