WDVV equations and invariant bi-Hamiltonian formalism

@article{54504,
   author = {Vašíček, Jakub and Vitolo, Raffaele},
   article_location = {New York},
   article_number = {8},
   doi = {http://dx.doi.org/10.1007/JHEP08(2021)129},
   keywords = {Integrable Hierarchies; Topological Field Theories; Differential and Algebraic Geometry; Field Theories in Lower Dimensions},
   language = {eng},
   issn = {1029-8479},
   journal = {Journal of High Energy Physics},
   title = {WDVV equations and invariant bi-Hamiltonian formalism},
   url = {https://link.springer.com/article/10.1007%2FJHEP08%282021%29129},
   volume = {Neuveden},
   year = {2021}
}

TY  - JOUR
ID  - 54504
AU  - Vašíček, Jakub - Vitolo, Raffaele
PY  - 2021
TI  - WDVV equations and invariant bi-Hamiltonian formalism
JF  - Journal of High Energy Physics
VL  - Neuveden
IS  - 8
SP  - "129-0"-"129-28"
EP  - "129-0"-"129-28"
PB  - Springer
SN  - 10298479
KW  - Integrable Hierarchies
KW  - Topological Field Theories
KW  - Differential and Algebraic Geometry
KW  - Field Theories in Lower Dimensions
UR  - https://link.springer.com/article/10.1007%2FJHEP08%282021%29129
N2  - 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.
ER  - 

VAŠÍČEK, Jakub and Raffaele VITOLO. WDVV equations and invariant bi-Hamiltonian formalism. \textit{Journal of High Energy Physics}. New York: Springer, 2021, Neuveden, No~8, p.~''129-0''-''129-28'', 29 pp. ISSN~1029-8479. Available from: https://dx.doi.org/10.1007/JHEP08(2021)129.