Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-11-11
Nucl.Phys. B521 (1998) 71-116
Physics
High Energy Physics
High Energy Physics - Theory
55 pages, harvmac.tex (`b' mode), epsf.tex for 3 figures, (Some references were corrected. Small adjustments to text and abstr
Scientific paper
10.1016/S0550-3213(98)00129-1
The nature of M-theory on K3 X I, where I is a line interval, is considered, with a view towards formulating a `matrix theory' representation of that situation. Various limits of this compactification of M-theory yield a number of well known N=1 six dimensional compactifications of the heterotic and type I string theories. Geometrical relations between these limits give rise to string/string dualities between some of these compactifications. At a special point in the moduli space of compactifications, this motivates a partial definition of the matrix theory representation of the M-theory on K3 X I as the large N limit of a certain type IA orientifold model probed by a conglomerate of N D-branes. Such a definition in terms of D-branes and orientifold planes is suggestive, but necessarily incomplete, due to the low amount of superymmetry. It is proposed - following hints from the orientifold model - that the complete matrix theory representation of the K3 X I compactified M-theory is given by the large N limit of compactification - on a suitable `dual' surface - of the `little heterotic string' N = 1 six dimensional quantum theories.
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