Results 131 to 140 of about 16,880 (213)

Integrable deformed $$H_{{4}}$$ H 4 WZW models and their non-Abelian duals as solutions of generalized supergravity equations

open access: yesEuropean Physical Journal C: Particles and Fields
We show that the Yang–Baxter (YB) deformed backgrounds of the Wess–Zumino–Witten (WZW) model based on the $$H_{{4}}$$ H 4 Lie group can be considered as solutions of the generalized supergravity equations (GSEs).
Ali Eghbali   +2 more
doaj   +1 more source

Parameter-dependent associative Yang-Baxter equation and Poisson brackets

open access: yes, 2014
We discuss associative analogues of classical Yang-Baxter equation meromorphically dependent on parameters. We discover that such equations enter in a description of a general class of parameter-dependent Poisson structures and double Lie and Poisson ...
V. Roubtsov, A. Odesskii, V. Sokolov
core  

Algebraic structures in set-theoretic Yang-Baxter & reflection equations

open access: yes
We present resent results regarding invertible, non-degenerate solutions of the set-theoretic Yang-Baxter and reflection equations. We recall the notion of braces and we present and prove various fundamental properties required for the solutions of the ...
Doikou, Anastasia
core  

Solutions to a system of Yang-Baxter matrix equations

open access: yes
In this article, a system of Yang-Baxter-type matrix equations is studied, $XAX=BXB$, $XBX=AXA$, which generalizes the matrix Yang-Baxter equation and exhibits a broken symmetry.
Mukherjee, Himadri   +2 more
core  

On the Open TS/ST Correspondence. [PDF]

open access: yesCommun Math Phys
François M, Grassi A.
europepmc   +1 more source

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