On the Moduli Spaces of M(atrix)-Theory Compactifications

Physics – High Energy Physics – High Energy Physics - Theory

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19 pages LaTeX2e, using utarticle.cls (included),array.sty, amsmath.sty, amsfonts.sty. Bibtex style: utphys.bst (.bbl file inc

Scientific paper

10.1016/S0550-3213(97)00427-6

By identifying the moduli space of coupling constants in the SYM description of toroidal compactifications of M(atrix)-Theory, we construct the M(atrix) description of the moduli spaces of Type IIA string theory compactified on T^n. Addition of theta terms to the M(atrix) SYM produces the shift symmetries necessary to recover the correct global structure of the moduli spaces. Up to n=3, the corresponding BPS charges transform under the proper representations of the U-duality groups. For n=4,5, if we make the ansatz of including the BPS charges corresponding to the wrapped M-theory 5-brane, the correspondence with Type IIA continues to hold. However, for n=6, we find additional charges for which there are no obvious candidates in M(atrix)-Theory.

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