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Zamolodchikov integrability via rings of invariants | Pavlo Pylyavskyy
; | Date: |
17 Jun 2015 | Abstract: | Zamolodchikov periodicity is periodicity of certein recursions associated
with box products X square Y of two finite type Dynkin diagrams. We suggest an
affine analog of Zamolodchikov periodicity, which we call Zamolodchikov
integrability. We conjecture that it holds for products X square Y, where X is
a finite type Dynkin diagram and Y is an extended Dynkin diagram. We prove this
conjecture for the case of A_m square A_{2n-1}^{(1)}. The proof employs
cluster structures in certain classical rings of invariants, previously studied
by S.~Fomin and the author. | Source: | arXiv, 1506.5378 | Services: | Forum | Review | PDF | Favorites |
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