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3 results on '"Kaminski, Leo"'

1. Legendre transforms for type $A_{n}$ and $B_{n}$ $\vee$-systems

Author

Feigin, Misha, Kaminski, Leo, and Strachan, Ian A. B.

Subjects
Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems
Abstract

The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a symmetry of the WDVV equations, introduced by Dubrovin. We explicitly compute the results of a Legendre transformation applied to $A_n$- and $B_n$-type multi-parameter rational solutions, relating them to known and new trigonometric solutions., Comment: 28 pages

Published
2024
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2. Legendre transforms for type A n and B n V -systems.

Author

Feigin, Misha, Kaminski, Leo, and Strachan, Ian A B

Subjects
FROBENIUS manifolds, STRUCTURAL analysis (Engineering), SYMMETRY, EQUATIONS
Abstract

The Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a symmetry of the WDVV equations, introduced by Dubrovin. We explicitly compute the results of a Legendre transformation applied to An - and Bn -type multi-parameter rational solutions, relating them to known and new trigonometric solutions. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

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