Results 81 to 90 of about 10,471,647 (271)

Construction of the K=8 Fractional Superconformal Algebras

open access: yes, 1992
We construct the K=8 fractional superconformal algebras. There are two such extended Virasoro algebras, one of which was constructed earlier, involving a fractional spin (equivalently, conformal dimension) 6/5 current.
Ahn   +32 more
core   +3 more sources

CURRENT ALGEBRA AND SUPERSYMMETRY [PDF]

open access: yesInternational Journal of Modern Physics A, 1986
The implications of supersymmetry and chiral Ward identities in supersymmetric gauge theories are explored using current algebra methods, and a critical assessment is made of the relative merits of the current algebra and effective Lagrangian approaches.
G.M. SHORE, G. VENEZIANO
openaire   +1 more source

Central Extensions of Current Algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1992
The second cohomology group of Lie algebras of kind L ⊗ U L \otimes U with trivial coefficients is investigated, where L L admits a decomposition with one-dimensional root spaces and U U is an arbitrary associative commutative algebra with unit. This paper gives a unification
openaire   +1 more source

Leibniz algebras: a brief review of current results

open access: yesKarpatsʹkì 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
doaj   +1 more source

Semi-classical central charge in topologically massive gravity

open access: yes, 2009
It is shown that the warped black holes geometries discussed recently in 0807.3040 admit an algebra of asymptotic symmetries isomorphic to the semi-direct product of a Virasoro algebra and an algebra of currents.
Compère, Geoffrey, Detournay, Stéphane
core   +1 more source

FUSION RULES FOR EXTENDED CURRENT ALGEBRAS [PDF]

open access: yesModern Physics Letters A, 1996
The initial classification of fusion rules have shown that rational conformal field theory is very limited. In this letter we study the fusion rules of extended current algebras. Explicit formulas are given for the S-matrix and the fusion rules, based on the full splitting of the fixed point fields. We find that in some cases sensible fusion rules are
Baver, Ernest, Gepner, Doron
openaire   +3 more sources

USE OF COMPUTER ALGEBRA SYSTEM MAXIMA IN THE PROCESS OF TEACHING FUTURE MATHEMATICS TEACHERS

open access: yesІнформаційні технології і засоби навчання, 2019
The article is devoted to the research of a problem of the application of computer algebra systems in the course of skill training of future mathematics teachers.
Vladyslav Ye. Velychko   +2 more
doaj   +1 more source

The half-infinite XXZ chain in Onsager's approach

open access: yes, 2012
The half-infinite XXZ open spin chain with general integrable boundary conditions is considered within the recently developed `Onsager's approach'. Inspired by the finite size case, for any type of integrable boundary conditions it is shown that the ...
Baseilhac, P., Belliard, S.
core   +2 more sources

The Second Cohomology of Current Algebras of General Lie Algebras

open access: yesCanadian Journal of Mathematics, 2008
AbstractLet A be a unital commutative associative algebra over a field of characteristic zero, a Lie algebra, and a vector space, considered as a trivial module of the Lie algebra . In this paper, we give a description of the cohomology space in terms of easily accessible data associated with A and .
Neeb, Karl-Hermann, Wagemann, Friedrich
openaire   +2 more sources

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