By Motl, L
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Insight into this puzzle can be gained by considering the limit of heterotic string theory which, according to string duality, is supposed to reproduce M-theory on K3. The latter theory surely reduces to eleven dimensional M-theory in a continuous manner as the radius of K3 is taken to 36 infinity. Although we have not yet worked out the details of heterotic matrix theory on higher dimensional tori, we think that it is clear that the infinite K3 limit will be one in which the χ degrees decouple from low energy dynamics.
As we will review below, if these new variables, which transform in the vector representation of the gauge group, are not added, then a potential causes that the model does not live in an eleven dimensional spacetime, but only on its boundary. Although it is, by construction, a unitary quantum mechanics, it probably does not recover ten dimensional Lorentz invariance in the large M limit. Its nominal massless 22 particle content is the ten dimensional N = 1 supergravity (SUGRA) multiplet, which is anomalous.
But now we want to move on to the question of heterotic strings. Do they admit a description in terms of matrix models? 21 Chapter 3 Heterotic matrix models In this chapter I propose a nonperturbative definition of heterotic string theory on multidimensional tori and discuss the question of their matrix string limits and the origin of open membranes. 1 Introduction The matrix model of uncompactified M-theory , ,  has been generalized to arbitrary toroidal compactifications of type IIA and IIB string theory.
Nonperturbative Formulations of Superstring Theory by Motl, L