Results 101 to 110 of about 317 (185)

On Griess Algebras

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
In this paper we prove that for any commutative (but in general non-associative) algebra A with an invariant symmetric non-degenerate bilinear form there is a graded vertex algebra V = V_0 oplus V2 oplus V3 oplus ..., such that dim V_0 = 1 and V_2 ...
Michael Roitman
doaj   +1 more source

Affine Lie algebras and the Virasoro algebra I

open access: yesJapanese journal of mathematics. New series, 1986
A natural Lie algebra structure is obtained for a 2-dimensional central extension of an affine Lie algebra and its natural derivations. Moreover highest weight modules are extended, which induce representations for the Virasoro algebra embedded. Some applications are discussed, like characterization of homogeneous \(\tau\)-functions and intertwining ...
openaire   +3 more sources

The large N limit of orbifold vertex operator algebras. [PDF]

open access: yesLett Math Phys, 2021
Gemünden T, Keller CA.
europepmc   +1 more source

Representations of the Virasoro Algebra, I

open access: yesJournal of Algebra, 1995
The author first studies the structure of the tensor product of two isomorphic irreducible modules \(V_{\alpha, \beta}'\) over the Virasoro algebra case by case, and then shows that for any \(\alpha, \beta \in \mathbb{C}\), \(V_{\alpha, \beta}' \otimes V_{\alpha, \beta}' = V^+ \oplus V^-\), where \(V^+\) and \(V^-\) are indecomposable submodules, and \(
openaire   +1 more source

Hietarinta Chern–Simons supergravity and its asymptotic structure

open access: yesEuropean Physical Journal C: Particles and Fields
In this paper we present the Hietarinta Chern–Simons supergravity theory in three space-time dimensions which extends the simplest Poincaré supergravity theory.
Patrick Concha   +2 more
doaj   +1 more source

Super Quantum Airy Structures. [PDF]

open access: yesCommun Math Phys, 2020
Bouchard V   +6 more
europepmc   +1 more source

On the deep superstring spectrum

open access: yesJournal of High Energy Physics
We propose a covariant method of constructing entire trajectories of physical states in superstring theory in the critical dimension. It is inspired by a recently developed covariant technology of excavating bosonic string trajectories, that is ...
Thomas Basile, Chrysoula Markou
doaj   +1 more source

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Michael P. Tuite
doaj  

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