Conjugate Frobenius Manifold and Inversion Symmetry

Zainab Al-Maamari; Yassir Dinar

doi:10.1007/s11040-022-09436-3

Conjugate Frobenius Manifold and Inversion Symmetry

Zainab Al-Maamari, Yassir Dinar^*

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We give a conjugacy relation on certain type of Frobenius manifold structures using the theory of flat pencils of metrics. It leads to a geometric interpretation for the inversion symmetry of solutions to Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations.

Original language	English
Article number	23
Journal	Mathematical Physics Analysis and Geometry
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/s11040-022-09436-3
Publication status	Published - Sept 2022

Keywords

Flat pencil of metrics
Frobenius manifold
Inversion symmetry
Poisson bracket of hydrodynamic type
WDVV equations

ASJC Scopus subject areas

Mathematical Physics
Geometry and Topology

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10.1007/s11040-022-09436-3

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author = "Zainab Al-Maamari and Yassir Dinar",

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AU - Dinar, Yassir

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KW - Inversion symmetry

KW - Poisson bracket of hydrodynamic type

KW - WDVV equations

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Conjugate Frobenius Manifold and Inversion Symmetry

Abstract

Keywords

ASJC Scopus subject areas

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