Wrapped membranes, matrix string theory and an infinite dimensional Lie algebra

Abstract

We examine the algebraic structure of the matrix regularization for the wrapped membrane on $R^{10}\times S^1$ in the light-cone gauge. We give a concrete representation for the algebra and obtain the matrix string theory having the boundary conditions for the matrix variables corresponding to the wrapped membrane, which is referred to neither Seiberg and Sen's arguments nor string dualities. We also embed the configuration of the multi-wrapped membrane in matrix string theory.

19 pages, 1 figure, references added, minor changes

References in corpus (7)

• Membrane topology and matrix regularization
• On the strong coupling region in quantum matrix string theory
• Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
• On the quantum matrix string
• Open and Winding Membranes, Affine Matrix Theory and Matrix String Theory
• Comments on the global constraints in light-cone string and membrane theories
• Perturbative dynamics of matrix string for the membrane

Cited by in corpus (5)

• From supermembrane to super Yang-Mills theory
• Quiver Matrix Mechanics for IIB String Theory (II): Generic Dual Tori, Fractional Matrix Membrane and $SL(2,\integer)$ Duality
• Emergent geometry from stochastic dynamics, or Hawking evaporation in M(atrix) theory
• Wrapped supermembrane on vanishing 2-torus
• (p,q)-string in matrix-regularized membrane and type IIB duality