Complex reflection groups, logarithmic connections and bi-flat F-manifolds
A Arsie, P Lorenzoni - Letters in Mathematical Physics, 2017 - Springer
We show that bi-flat F-manifolds can be interpreted as natural geometrical structures
encoding the almost duality for Frobenius manifolds without metric. Using this framework, we …
encoding the almost duality for Frobenius manifolds without metric. Using this framework, we …
[HTML][HTML] A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of
Generalizing a construction presented in Arsie and Lorenzoni (Lett Math Phys 107: 1919–
1961, 2017), we show that the orbit space of B 2 less the image of the coordinate lines under …
1961, 2017), we show that the orbit space of B 2 less the image of the coordinate lines under …
Supersymmetric V-systems
G Antoniou, M Feigin - Journal of High Energy Physics, 2019 - Springer
A bstract We construct\(\mathcal {N}= 4D\left (2, 1;\\alpha\right)\) superconformal quantum
mechanical system for any configuration of vectors forming a∨-system. In the case of a …
mechanical system for any configuration of vectors forming a∨-system. In the case of a …
Purely non-local Hamiltonian formalism, Kohno connections and∨-systems
A Arsie, P Lorenzoni - Journal of mathematical physics, 2014 - pubs.aip.org
In this paper, we extend purely non-local Hamiltonian formalism to a class of Riemannian F-
manifolds, without assumptions on the semisimplicity of the product○ or on the flatness of …
manifolds, without assumptions on the semisimplicity of the product○ or on the flatness of …
Linear pfaffian systems and classical solutions of triangular schlesinger equations
VP Leksin - Proceedings of the Steklov Institute of Mathematics, 2020 - Springer
In this paper, by classical solutions we mean solutions to Fuchsian type meromorphic linear
integrable Pfaffian systems dy= Ω y on the complex linear spaces ℂ n, n≥ 1, where y (z)=(y …
integrable Pfaffian systems dy= Ω y on the complex linear spaces ℂ n, n≥ 1, where y (z)=(y …
Reflection groups and flat structures
G Moroni - 2024 - tesidottorato.depositolegale.it
In the thesis, we show that the orbit space of B_2 can be equipped with two Frobenius
manifolds structures related to the defocusing and focusing NLS (nonlinear Shrodinger) …
manifolds structures related to the defocusing and focusing NLS (nonlinear Shrodinger) …
Frobenius algebras and root systems: the trigonometric case
D Shen - Letters in Mathematical Physics, 2021 - Springer
We construct Frobenius structures on the C^ * C×-bundle of the complement of a toric
arrangement associated with a root system, by making use of a one-parameter family of …
arrangement associated with a root system, by making use of a one-parameter family of …
Bi-Flat F-Manifolds: A Survey
A Arsie, P Lorenzoni - Integrable Systems and Algebraic …, 2020 - books.google.com
We present a survey of the work done by the authors in the last few years developing the
theory of bi-flat F-manifolds and exploring their relationships with integrable hierarchies …
theory of bi-flat F-manifolds and exploring their relationships with integrable hierarchies …
Линейные пфаффовы системы и классические решения треугольных уравнений Шлезингера
ВП Лексин - Труды Математического института имени ВА …, 2020 - mathnet.ru
Линейные пфаффовы системы и классические решения треугольных уравне Page 1
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМ. ВАСТЕКЛОВА, 2020, т. 308, с. 210–221 УДК …
ТРУДЫ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМ. ВАСТЕКЛОВА, 2020, т. 308, с. 210–221 УДК …