Results 81 to 90 of about 4,761,670 (353)

Supersymmetric V-systems

Journal of High Energy Physics, 2019
We construct N = 4 D 2 , 1 ; α $$ \mathcal{N}=4D\left(2,1;\ \alpha \right) $$ superconformal quantum mechanical system for any configuration of vectors forming a ∨-system.
Georgios Antoniou, Misha Feigin
doaj   +1 more source

A note on the appearance of self-dual Yang-Mills fields in integrable hierarchies

, 2000
A family of mappings from the solution spaces of certain generalized Drinfeld-Sokolov hierarchies to the self-dual Yang-Mills system on R^{2,2} is described.
Ablowitz M.J., De Groot M.F., Delduc F., Delduc F., Drinfeld V.G., Fehér L., Fehér L., Guha P., LaChapelle J., Mason L.J., Mason L.J., Mason L.J., McIntosh I., Szmigielski J., Ward R.S., Ward R.S., Wilson G.W.   +16 more
core   +2 more sources

Double Ramification Cycles and Quantum Integrable Systems [PDF]

, 2015
In this paper we define a quantization of the Double Ramification Hierarchies of [Bur15b] and [BR14], using intersection numbers of the double ramification cycle, the full Chern class of the Hodge bundle and psi-classes with a given cohomological field ...
Buryak, Alexandr, Rossi, Paolo
core   +5 more sources

On the combinatorics of several integrable hierarchies [PDF]

, 2015
We demonstrate that statistics of certain classes of set partitions are described by generating functions related to the Burgers, Ibragimov–Shabat and Korteweg–de Vries integrable hierarchies.
V. E. Adler
semanticscholar   +1 more source

The neural crest‐associated gene ERRFI1 is involved in melanoma progression and resistance toward targeted therapy

Molecular Oncology, EarlyView.
ERRFI1, a neural crest (NC)‐associated gene, was upregulated in melanoma and negatively correlated with the expression of melanocytic differentiation markers and the susceptibility of melanoma cells toward BRAF inhibitors (BRAFi). Knocking down ERRFI1 significantly increased the sensitivity of melanoma cells to BRAFi.
Nina Wang, Qian Sun, Daniel Novak, Lei Zhu, Juliane Poelchen, Tamara Steinfass, Yiman Wang, Viktor Umansky, Jochen Utikal   +8 more
wiley   +1 more source

Field analogue of the Ruijsenaars-Schneider model

Journal of High Energy Physics, 2022
We suggest a field extension of the classical elliptic Ruijsenaars-Schneider model. The model is defined in two different ways which lead to the same result.
A. Zabrodin, A. Zotov
doaj   +1 more source

Addition formulae of discrete KP, q-KP and two-component BKP systems

, 2016
In this paper, we constructed the addition formulae for several integrable hierarchies, including the discrete KP, the q-deformed KP, the two-component BKP and the D type Drinfeld-Sokolov hierarchies.
Gao, Xu, He, Jingsong, Li, Chuanzhong
core   +1 more source

R-matrix approach to integrable systems on time scales [PDF]

, 2008
A general unifying framework for integrable soliton-like systems on time scales is introduced. The $R$-matrix formalism is applied to the algebra of $\delta$-differential operators in terms of which one can construct infinite hierarchy of commuting ...
Aulbach B Hilger S, Bohner M, Bohner M, Burcu Silindir, Błaszak M, Błaszak M Gürses M Silindir B Szablikowski B M, Błażej M Szablikowski, Dickey L A, Hilger S, Maciej Błaszak, Olver P J, Reyman A G   +11 more
core   +4 more sources

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

Molecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola, Rafael Lopes Goncalves, Marin Truchi, Caroline Lacoux, Célia Scribe, Hugo Cadis, Laetitia Guardini, Sophie Bekisz, Marius Ilié, Paul Hofman, Georges Vassaux, Bernard Mari, Roger Rezzonico   +12 more
wiley   +1 more source

Constrained lattice-field hierarchies and Toda system with Block symmetry

, 2016
In this paper, we construct the additional $W$-symmetry and ghost symmetry of two-lattice field integrable hierarchies. Using the symmetry constraint, we construct constrained two-lattice integrable systems which contain several new integrable difference
Li, Chuanzhong
core   +1 more source