Results 81 to 90 of about 44,390 (178)

Auxiliary field sigma models and Yang-Baxter deformations

Journal of High Energy Physics
We combine the Yang-Baxter (YB) and bi-Yang-Baxter (bi-YB) deformations with higher-spin auxiliary field deformations to construct multi-parameter families of integrable deformations of the principal chiral model on a Lie group G with semi-simple Lie ...
Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli   +3 more
doaj   +1 more source

N,N‐Dimethyltryptamine (DMT) Acutely Exposed to Mouse Ventral Tegmental Area Ih‐Negative Neurons Alters the Firing Rate and Conductance in a Sex‐Dependent Manner

Journal of Neurochemistry, Volume 170, Issue 5, May 2026.
Depression and substance use disorder are difficult to treat, prompting interest in psychedelics like DMT, though its neural mechanisms remain unclear. This ex vivo study examined acute DMT effects on electrophysiology in male and female Ih‐negative neurons of the mouse ventral tegmental area (VTA). Low‐dose DMT (500 nM) had no effect, whereas a higher
Jannik Nicklas Eliasen, Amir Rezagholizadeh, Helene Påbøl Jacobsen, Kristi A. Kohlmeier   +3 more
wiley   +1 more source

Knot theory and its applications [PDF]

, 2011
Nella tesi verranno presi in considerazione tre aspetti: si descriverà come la teoria dei nodi si sia sviluppata nel corso degli anni in relazione alle diverse scoperte scientifiche avvenute.
Patone, Martina
core  

Rota–Baxter Operators on Dihedral and Alternating Groups [PDF]

Advances in Group Theory and Applications
Rota–Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang–Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota–Baxter operator on a group was defined by L.
Alexey Galt, Vsevolod Gubarev
doaj   +1 more source

Solving the Yang-Baxter Matrix Equation

, 2017
The Yang-Baxter equation is one that has been widely used and studied in areas such as statistical mechanics, braid groups, knot theory, and quantum mechanics.
Jennings, Mallory O
core  

Set-Theoretical Solutions for the Yang–Baxter Equation in GE-Algebras: Applications to Quantum Spin Systems

Axioms
This manuscript presents set-theoretical solutions to the Yang–Baxter equation within the framework of GE-algebras by constructing mappings that satisfy the braid condition and exploring the algebraic properties of GE-algebras.
Ibrahim Senturk, Tahsin Oner, Abdullah Engin Çalık, Hüseyin Şirin, Metin Bilge, Neelamegarajan Rajesh   +5 more
doaj   +1 more source

Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices

Advances in Mathematical Physics, 2017
Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota-Baxter operators (of weight zero) on the 3-dimensional Lie algebras g.
Linli Wu, Mengping Wang, Yongsheng Cheng
doaj   +1 more source

An Examination of the Yang-Baxter Equation

, 2011
The Yang-Baxter equation has been extensively studied due to its application in numerous fields of mathematics and physics. This thesis sets out to analyze the equation from the viewpoint of the algebraic product of matrices, i.e., the composition of ...
Cibotarica, Alexandru
core  

Leibniz bialgebras, relative Rota-Baxter operators and the classical Leibniz Yang-Baxter equation

, 2020
In this paper, first we introduce the notion of a Leibniz bialgebra and show that matched pairs of Leibniz algebras, Manin triples of Leibniz algebras and Leibniz bialgebras are equivalent.
Sheng, Yunhe, Tang, Rong
core   +1 more source

Yang-Baxter deformations of the AdS4 × ℂℙ3 superstring sigma model

Journal of High Energy Physics, 2018
The gravity dual of β-deformed ABJM theory can be obtained by a TsT transformation of AdS4 × ℂℙ3. We present a supercoset construction of ℂℙ3 to obtain this gravity dual theory as a Yang-Baxter deformation.
René Negrón, Victor O. Rivelles
doaj   +1 more source