J
2021
WDVV equations and invariant bi-Hamiltonian formalism
VAŠÍČEK, Jakub and Raffaele VITOLO
Basic information
Original name
WDVV equations and invariant bi-Hamiltonian formalism
Authors
VAŠÍČEK, Jakub (203 Czech Republic, belonging to the institution) and Raffaele VITOLO (380 Italy, guarantor)
Edition
Journal of High Energy Physics, New York, Springer, 2021, 1029-8479
Other information
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 6.376
RIV identification code
RIV/47813059:19610/21:A0000102
Organization unit
Mathematical Institute in Opava
EID Scopus
2-s2.0-85113374482
Keywords in English
Integrable Hierarchies; Topological Field Theories; Differential and Algebraic Geometry; Field Theories in Lower Dimensions
Tags
International impact, Reviewed
In the original language
The purpose of the paper is to show that, in low dimensions, the WDVV equations are bi-Hamiltonian. The invariance of the bi-Hamiltonian formalism is proved for N = 3. More examples in higher dimensions show that the result might hold in general. The invariance group of the bi-Hamiltonian pairs that we find for WDVV equations is the group of projective transformations. The significance of projective invariance of WDVV equations is discussed in detail. The computer algebra programs that were used for calculations throughout the paper are provided in a GitHub repository.
Displayed: 31/10/2025 22:36