Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
arXiv:hep-th/0312028 · doi:10.1016/j.nuclphysb.2004.02.013
Abstract
In this paper we present a discrete, non-perturbative formulation for type IIB string theory. Being a supersymmetric quiver matrix mechanics model in the framework of M(atrix) theory, it is a generalization of our previous proposal of compactification via orbifolding for deconstructed IIA strings. In the continuum limit, our matrix mechanics becomes a -dimensional Yang-Mills theory with 16 supercharges. At the discrete level, we are able to construct explicitly the solitonic states that correspond to membranes wrapping on the compactified torus in target space. These states have a manifestly $SL(2,\integer)$-invariant spectrum with correct membrane tension, and give rise to an emergent flat dimension when the compactified torus shrinks to vanishing size.
LaTeX 2e; 39 pages, 3 eps figures. v2: typos corrected; references added; identification of certain membrane states added. v3: minor corrections on membrane states
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Cited by in corpus (7)
- Generalizations of the AdS/CFT correspondence
- Quiver Gauge Theory and Conformality at the TeV Scale
- From supermembrane to super Yang-Mills theory
- Wrapped membranes, matrix string theory and an infinite dimensional Lie algebra
- Quiver Matrix Mechanics for IIB String Theory (II): Generic Dual Tori, Fractional Matrix Membrane and $SL(2,\integer)$ Duality
- Perturbative dynamics of matrix string for the membrane
- Oblique DLCQ M-theory and Multiple M2-branes