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1997•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Supersymmetric Wilson loops in a type-IIB matrix model

Kenji Hamada

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Abstract

We show that the supersymmetric Wilson loops in a type-IIB matrix model give a transition operator from reduced supersymmetric Yang-Mills theory to supersymmetric space-time theory. In comparison with Green-Schwarz superstring we identify the supersymmetric Wilson loops with the asymptotic states of a type-IIB superstring. It is pointed out that the supersymmetry transformation law of the Wilson loops is the inverse of that for the vertex operators of massless modes in the $U(N)$ open superstring with a Dirichlet boundary condition.

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We show that the supersymmetric Wilson loops in a type-IIB matrix model give a transition operator from reduced supersymmetric Yang-Mills theory to supersymmetric space-time theory. In comparison with Green-Schwarz superstring we identify the supersymmetric Wilson loops with the asymptotic states of a type-IIB superstring. It is pointed out that the supersymmetry transformation law of the Wilson loops is the inverse of that for the vertex operators of massless modes in the $U(N)$ open superstring with a Dirichlet boundary condition.

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Available abstract

We show that the supersymmetric Wilson loops in a type-IIB matrix model give a transition operator from reduced supersymmetric Yang-Mills theory to supersymmetric space-time theory. In comparison with Green-Schwarz superstring we identify the supersymmetric Wilson loops with the asymptotic states of a type-IIB superstring. It is pointed out that the supersymmetry transformation law of the Wilson loops is the inverse of that for the vertex operators of massless modes in the $U(N)$ open superstring with a Dirichlet boundary condition.

Key concepts: Superstring theory, Supersymmetry, Physics, Mathematical physics, Vertex (graph theory), Operator (biology), Particle physics, Mathematics

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