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CURRENT ALGEBRA FUNCTORS AND EXTENSIONS [PDF]
Reviews in Mathematical Physics, 2013 We show how the fundamental cocycles on current Lie algebras and the Lie algebra of symmetries for the sigma model are obtained via the current algebra functors introduced in [A. Alekseev and P. Severa, Equivariant cohomology and current algebras, Confluentes Math.4 (2012) 1250001, 40 pp.]. We present current group extensions integrating some of these
Alekseev Anton +2 more
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Current algebra in three dimensions [PDF]
Physical Review Letters, 1992 11 pages, UR-1266, ER40685 ...
Gabriele Ferretti, S. G. Rajeev
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Current algebra and gauge variance [PDF]
Il Nuovo Cimento A, 1967 It is urged that the lesson of gauge invariance in quantum electrodynamics implies the irrelevance of «Schwinger term» difficulties in current algebra. The divergence equations of Veltman form the basis of a gauge-variation formalism in which these questions are avoided.
J. S. Bell
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Light Cone Current Algebra [PDF]
, 2003 This talk follows by a few months a talk by the same authors on nearly the same subject at the Coral Gables Conference. The ideas presented here are basically the same, but with some amplification, some change of viewpoint, and a number of new questions for the future.
Harald Fritzsch, Murray Gell‐Mann
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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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Global Geometric Deformations of Current Algebras as Krichever-Novikov Type Algebras [PDF]
Commun.Math.Phys. 260 (2005) 579-612, 2005 We construct algebraic-geometric families of genus one (i.e. elliptic) current and affine Lie algebras of Krichever-Novikov type. These families deform the classical current, respectively affine Kac-Moody Lie algebras. The construction is induced by the geometric process of degenerating the elliptic curve to singular cubics.
Alice Fialowski, Martin Schlichenmaier
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Screening Currents in Affine Current Algebra [PDF]
arXiv, 1997 In this paper screening currents of the second kind are considered. They are constructed in any affine current algebra for directions corresponding to simple roots with multiplicity one in a decomposition of the highest root on a set of simple roots. These expressions are precisely of the form previously conjectured to be valid for all directions in ...
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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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Currents on Grassmann algebras [PDF]
Journal of Geometry and Physics, 1995 We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on $Gr(N)$).
Robert Coquereaux, E. Ragoucy
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