Matrix Theory Compactification on Noncommutative $T^4/Z_2$

Details Matrix Theory Compactification on Noncommutative $T^4/Z_2$ Matrix Theory Compactification on Noncommutative $T^4/Z_2$

2000-05-22

arxiv.org/abs/hep-th/0005205v3

J.Math.Phys. 42 (2001) 2677-2688

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, review part shortened and corrected

Scientific paper

10.1063/1.1371265

In this paper, we construct gauge bundles on a noncommutative toroidal orbifold $T^4_\theta/Z_2$. First, we explicitly construct a bundle with constant curvature connections on a noncommutative $T^4_\theta$ following Rieffel's method. Then, applying the appropriate quotient conditions for its $Z_2$ orbifold, we find a Connes-Douglas-Schwarz type solution of matrix theory compactified on $T^4_\theta/Z_2$. When we consider two copies of a bundle on $T^4_\theta$ invariant under the $Z_2$ action, the resulting Higgs branch moduli space of equivariant constant curvature connections becomes an ordinary toroidal orbifold $T^4/Z_2$.

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