Anatomy of a duality.(English)Zbl 1047.81547
Summary: The nature of M-theory on \(K3\times I\), 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 \(K3\times I\) 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 supersymmetry. It is proposed - following hints from the orientifold model - that the complete matrix theory representation of the \(K3\times I\) 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.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
Cite
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