VAŠÍČEK, Jakub a Raffaele VITOLO. WDVV equations and invariant bi-Hamiltonian formalism. Journal of High Energy Physics. New York: Springer, 2021, Neuveden, č. 8, s. "129-0"-"129-28", 29 s. ISSN 1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP08(2021)129. |
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@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 a Raffaele VITOLO. WDVV equations and invariant bi-Hamiltonian formalism. \textit{Journal of High Energy Physics}. New York: Springer, 2021, Neuveden, č.~8, s.~''129-0''-''129-28'', 29 s. ISSN~1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP08(2021)129.
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