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

Eunsang Kim·Hoil Kim·Chang-Yeong Lee
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Abstract

In this paper, we construct gauge bundles on a noncommutative toroidal orbifold $T^4_θ/Z_2$. First, we explicitly construct a bundle with constant curvature connections on a noncommutative $T^4_θ$ 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 $T^4_θ/Z_2$. When we consider two copies of a bundle on $T^4_θ$ 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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Eunsang Kim, Hoil Kim, Chang-Yeong Lee. 2001-02-22. Matrix Theory Compactification on Noncommutative $T^4/Z_2$. https://doi.org/10.1063/1.1371265

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