Branes and the WDVV equation

2008 ◽  
pp. 406-415
Author(s):  
Jose M. Isidro
Keyword(s):  
Wdvv Equation

scholarly journals Curved WDVV equation and supersymmetric mechanics

2018 ◽  
Vol 965 ◽  
pp. 012026
Author(s):  
N Kozyrev ◽  
S Krivonos ◽  
O Lechtenfeld ◽  
A Nersessian ◽  
A Sutulin
Keyword(s):  
Wdvv Equation

scholarly journals WDVV equation and triple-product relation

2005 ◽  
Vol 706 (3) ◽  
pp. 518-530 ◽  
Author(s):  
Keiichi Shigechi ◽  
Miki Wadati ◽  
Ning Wang
Keyword(s):  
Triple Product ◽  
Wdvv Equation ◽  
Product Relation

scholarly journals A new class of solutions to the WDVV equation

2010 ◽  
Vol 374 (4) ◽  
pp. 504-506 ◽  
Author(s):  
Olaf Lechtenfeld ◽  
Kirill Polovnikov
Keyword(s):  
Wdvv Equation ◽  
New Class

scholarly journals On the WDVV equation and M-theory

1999 ◽  
Vol 539 (1-2) ◽  
pp. 379-402 ◽  
Author(s):  
J.M. Isidro
Keyword(s):  
Wdvv Equation ◽  
M Theory

scholarly journals Soliton surface associated with the WDVV equation for n = 3 case

2019 ◽  
Vol 1391 ◽  
pp. 012105
Author(s):  
A.A. Zhadyranova ◽  
Zh.R. Myrzakul
Keyword(s):  
Wdvv Equation ◽  
Soliton Surface

scholarly journals On the WDVV equation in quantum K -theory.

2000 ◽  
Vol 48 (1) ◽  
pp. 295-304 ◽  
Author(s):  
Alexander Givental
Keyword(s):  
Wdvv Equation ◽  
K Theory

scholarly journals Flat Structure on the Space of Isomonodromic Deformations

2020 ◽  
Author(s):  
Mitsuo Kato ◽  
◽  
Toshiyuki Mano ◽  
Jiro Sekiguchi ◽  
◽  
...  
Keyword(s):  
Special Kind ◽  
Frobenius Manifold ◽  
Topological Field Theory ◽  
Wdvv Equation ◽  
Isomonodromic Deformations ◽  
Flat Structure ◽  
Complex Reflection Groups ◽  
Topological Field ◽  
Linear Differential ◽  
Algebraic Solutions

Flat structure was introduced by K. Saito and his collaborators at the end of 1970's. Independently the WDVV equation arose from the 2D topological field theory. B. Dubrovin unified these two notions as Frobenius manifold structure. In this paper, we study isomonodromic deformations of an Okubo system, which is a special kind of systems of linear differential equations. We show that the space of independent variables of such isomonodromic deformations can be equipped with a Saito structure (without a metric), which was introduced by C. Sabbah as a generalization of Frobenius manifold. As its consequence, we introduce flat basic invariants of well-generated finite complex reflection groups and give explicit descriptions of Saito structures (without metrics) obtained from algebraic solutions to the sixth Painlevé equation.

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