Solutions of BCn Type of WDVV Equations

Maali Alkadhem; Georgios Antoniou; Misha Feigin

doi:10.1090/pspum/103.1/01831

Solutions of BC_n Type of WDVV Equations

Maali Alkadhem
, Georgios Antoniou
, Misha Feigin

University of Glasgow

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We give a family of solutions of Witten–Dijkgraaf–Verlinde– Verlinde equations in n-dimensional space. It is defined in terms of BC_n root system and n + 2 independent multiplicity parameters. We also apply these solutions to define some N = 4 supersymmetric mechanical systems.

Original language	English
Title of host publication	Proceedings of Symposia in Pure Mathematics
Publisher	American Mathematical Society
Pages	39-53
Number of pages	15
DOIs	https://doi.org/10.1090/pspum/103.1/01831
State	Published - 2021
Externally published	Yes

Publication series

Name	Proceedings of Symposia in Pure Mathematics
Volume	103.1
ISSN (Print)	0082-0717
ISSN (Electronic)	2324-707X

Keywords

Associativity equations
Frobenius manifolds
Root systems

Access to Document

10.1090/pspum/103.1/01831

Cite this

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title = "Solutions of BCn Type of WDVV Equations",

abstract = "We give a family of solutions of Witten–Dijkgraaf–Verlinde– Verlinde equations in n-dimensional space. It is defined in terms of BCn root system and n + 2 independent multiplicity parameters. We also apply these solutions to define some N = 4 supersymmetric mechanical systems.",

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AU - Antoniou, Georgios

AU - Feigin, Misha

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AB - We give a family of solutions of Witten–Dijkgraaf–Verlinde– Verlinde equations in n-dimensional space. It is defined in terms of BCn root system and n + 2 independent multiplicity parameters. We also apply these solutions to define some N = 4 supersymmetric mechanical systems.

KW - Associativity equations

KW - Frobenius manifolds

KW - Root systems

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