TY - JOUR
T1 - Low-dimensional bihamiltonian structures of topological type
AU - Dinar, Yassir
N1 - Publisher Copyright:
© 2023 Author(s).
PY - 2023/3/1
Y1 - 2023/3/1
N2 - We construct local bihamiltonian structures from classical W-algebras associated with non-regular nilpotent elements of regular semisimple type in Lie algebras of types A2 and A3. They form exact Poisson pencils and admit a dispersionless limit, and their leading terms define logarithmic or trivial Dubrovin-Frobenius manifolds. We calculate the corresponding central invariants, which are expected to be constants. In particular, we get Dubrovin-Frobenius manifolds associated with the focused Schrödinger equation and Hurwitz space M0;1,0 and the corresponding bihamiltonian structures of topological type.
AB - We construct local bihamiltonian structures from classical W-algebras associated with non-regular nilpotent elements of regular semisimple type in Lie algebras of types A2 and A3. They form exact Poisson pencils and admit a dispersionless limit, and their leading terms define logarithmic or trivial Dubrovin-Frobenius manifolds. We calculate the corresponding central invariants, which are expected to be constants. In particular, we get Dubrovin-Frobenius manifolds associated with the focused Schrödinger equation and Hurwitz space M0;1,0 and the corresponding bihamiltonian structures of topological type.
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U2 - 10.1063/5.0130899
DO - 10.1063/5.0130899
M3 - Article
AN - SCOPUS:85150225057
SN - 0022-2488
VL - 64
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 3
M1 - 033502
ER -