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

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Journal of High Energy Physics

RIV identification code

RIV/47813059:19610/21:A0000102

Organization unit

Mathematical Institute in Opava

DOI

http://dx.doi.org/10.1007/JHEP08(2021)129

UT WoS

000688552100004

Keywords in English

Integrable Hierarchies; Topological Field Theories; Differential and Algebraic Geometry; Field Theories in Lower Dimensions

Tags

, SGS-13-2020

Tags

International impact, Reviewed
Změněno: 13/9/2022 12:14, Mgr. Aleš Ryšavý

Abstract

V originále

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: 24/12/2024 04:10