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The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
the AKNS hierarchy Lax type integrability Lie-algebraic approach
2011/3/2
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
the AKNS hierarchy Lax type integrability Lie-algebraic approach vertex operators
2010/12/28
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Vertex operator algebras modified regular representations Virasoro algebra
2011/2/28
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a
family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
We show that for any fixed point P0 on a Riemann surface the distinct realizations of cocycles in H1(,O) correspond to the natural appearances of the standard Heisenberg vertex operator algebra (P0...
Vertex Operator Algebras Associated to Type G Affine Lie Algebras
Vertex Operator Algebras Associated Type G Affine Lie Algebras
2010/11/22
In this paper, we study representations of the vertex operator algebra $L(k,0)$ at one-third admissible levels $k= -5/3, -4/3, -2/3$ for the affine algebra of type $G_2^{(1)}$. We first determine sin...
An $E_8$-approach to the moonshine vertex operator algebra
$E_8$-approach moonshine vertex operator algebra
2010/12/13
In this article, we study the moonshine vertex operator algebra starting with the
tensor product of three copies of the vertex operator algebra V + √2E8 , and describe it by
the quadratic space over...
Vertex operator for the non-autonomous ultradiscrete KP equation
Vertex operator non-autonomous ultradiscrete KP equation
2010/4/7
We propose an ultradiscrete analogue of the vertex operator in the case of the ultradiscrete KP equation--several other ultradiscrete equations--which maps N-soliton solutions to N+1-soliton ones.
K-theory associated to vertex operator algebras
K-theory associated vertex operator algebras
2018/4/20
We introduce two K-theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algebras. We verify the coh...