Results 1 to 10 of about 9,111 (67)

Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
Motivated by the work of Kupershmidt (J. Nonlin. Math. Phys. 6 (1998), 222 --245) we discuss the occurrence of left symmetry in a generalized Virasoro algebra. The multiplication rule is defined, which is necessary and sufficient for this algebra to be quasi-associative.
Hounkonnou, Mahouton Norbert   +2 more
openaire   +2 more sources

The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to DS equations [PDF]

open access: yesJournal of Mathematical Physics, 2006
We compute the Lie symmetry algebra of the generalized Davey-Stewartson (GDS) equations and show that under certain conditions imposed on parameters in the system it is infinite-dimensional and isomorphic to that of the standard integrable Davey-Stewartson equations which is known to have a very specific Kac-Moody-Virasoro loop algebra structure.
Gungor, F., Aykanat, O.
openaire   +4 more sources

Relating Kac-Moody, Virasoro and Krichever-Novikov algebras [PDF]

open access: yesCommunications in Mathematical Physics, 1988
Affine Lie algebras may be regarded as spaces of Lie-algebra-valued meromorphic functions on \(P^ 1({\mathbb{C}})\) with poles only at 0 and \(\infty\). Similarly, the Virasoro algebra may be regarded as the meromorphic vector fields on \(P^ 1({\mathbb{C}})\) with poles only at 0 and \(\infty\). \textit{I. M. Krichever} and \textit{S. P.
Alberty, José   +2 more
openaire   +2 more sources

Fermionic CFTs and classifying algebras

open access: yesJournal of High Energy Physics, 2020
We study fermionic conformal field theories on surfaces with spin structure in the presence of boundaries, defects, and interfaces. We obtain the relevant crossing relations, taking particular care with parity signs and signs arising from the change of ...
Ingo Runkel, Gérard M.T. Watts
doaj   +1 more source

N $$ \mathcal{N} $$ = 4 SYM, Argyres-Douglas theories, and an exact graded vector space isomorphism

open access: yesJournal of High Energy Physics, 2022
In this first of two papers, we explain in detail the simplest example of a broader set of relations between apparently very different theories. Our example relates su 2 $$ \mathfrak{su}(2) $$ N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM) to a theory we
Matthew Buican, Takahiro Nishinaka
doaj   +1 more source

AGT basis in SCFT for c = 3/2 and Uglov polynomials

open access: yesNuclear Physics B, 2020
AGT allows one to compute conformal blocks of d = 2 CFT for a large class of chiral CFT algebras. This is related to the existence of a certain orthogonal basis in the module of the (extended) chiral algebra. The elements of the basis are eigenvectors of
Vladimir Belavin, Abay Zhakenov
doaj   +1 more source

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method.
Ricardo Caroca   +3 more
doaj   +1 more source

Relation between representations of KN and virasoro algebras

open access: yesPhysics Letters B, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BONORA L., MATONE, MARCO, RINALDI M.
openaire   +2 more sources

Framed vertex operator algebras, codes and the moonshine module [PDF]

open access: yes, 1997
For a simple vertex operator algebra whose Virasoro element is a sum of commutative Virasoro elements of central charge 1/2, two codes are introduced and studied. It is proved that such vertex operator algebras are rational.
Dong, C., Griess Jr., R. L., Hoehn, G.
core   +3 more sources

Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras [PDF]

open access: yes, 2010
In this paper we construct ternary $q$-Virasoro-Witt algebras which $q$-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using $su(1,1)$ enveloping algebra techniques.
A Makhlouf   +27 more
core   +1 more source

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