Results 1 to 10 of about 16,496 (311)
Classical elliptic current algebras. I [PDF]
Journal of Generalized Lie Theory and Applications, 2008 As a continuation of their previous study on \textit{classical current algebras} [J. Gen. Lie Theory Appl. 2, No. 2, 65--78 (2008; Zbl 1214.17005)], the authors further investigate various degenerations of the \textit{classical elliptic algebras}. As a result, they obtain different versions of the rational and trigonometric current algebras.
S. Pakuliak +2 more
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Classical elliptic current algebras. II [PDF]
Journal of Generalized Lie Theory and Applications, 2012 This is a continuation of the previous paper “Classical elliptic current algebras. I“ [J. Gen. Lie Theory Appl. 2 (2002), 65–78]. We describe different degenerations of the classical elliptic algebras. They yield different versions of rational and trigonometric current algebras.
S. Pakuliak, Vladimir Rubtsov
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MHV gluon scattering amplitudes from celestial current algebras [PDF]
Journal of High Energy Physics, 2021 We show that the Mellin transform of an n-point tree level MHV gluon scattering amplitude, also known as the celestial amplitude in pure Yang-Mills theory, satisfies a system of (n−2) linear first order partial differential equations corresponding to (n ...
Shamik Banerjee, Sudip Ghosh
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Generalized Quantum Current Algebras [PDF]
Communications in Theoretical Physics, 2001 Two general families of new quantum deformed current algebras are proposed and identified both as infinite Hopf family of algebras, a structure which enable one to define ``tensor products'' of these algebras. The standard quantum affine algebras turn out to be a very special case of both algebra families, in which case the infinite Hopf family ...
Liu Zhao
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Leibniz algebras: a brief review of current results
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity $[[a,b],c]=[a,[b,c]]-[b,[a, c]]$ for all $a,b,c\in L$.
V.A. Chupordia +3 more
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Radiative Corrections to Semileptonic Beta Decays: Progress and Challenges
Particles, 2021 We review some recent progress in the theory of electroweak radiative corrections in semileptonic decay processes. The resurrection of the so-called Sirlin’s representation based on current algebra relations permits a clear separation between the ...
Chien-Yeah Seng
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Universe, 2022 This review is devoted to the universal algebraic and geometric properties of the non-relativistic quantum current algebra symmetry and to their representations subject to applications in describing geometrical and analytical properties of quantum and ...
Anatolij K. Prykarpatski
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OFF-CRITICAL CURRENT ALGEBRAS [PDF]
International Journal of Modern Physics A, 1995 We discuss the infinite-dimensional algebras appearing in integrable perturbations of conformally invariant theories, with special emphasis on the structure of the consequent non-Abelian infinite-dimensional algebra generalizing W∞ to the case of a non-Abelian group.
Abdalla, E. +3 more
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Quasi-characters in $\widehat{su(2)}$ current algebra at fractional levels
SciPost Physics Core, 2023 We study the even characters of $\widehat{su(2)}$ conformal field theories (CFTs) at admissible fractional levels obtained from the difference of the highest weight characters in the unflavoured limit. We show that admissible even character vectors arise
Sachin Grover
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European Physical Journal C: Particles and Fields, 2022 We shed new light on the standard current algebra approach to the nonleptonic two-body decays of single and double heavy charm baryons. By making use of the completeness relation for the flavor wave functions of the ground state baryon $$\mathbf{20 ...
Stefan Groote, Jürgen G. Körner
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