M Theory
The understanding of how
the IIA and HE theories behave at strong coupling, which
is by now well-established, came as quite a surprise.
In each of these cases
there is an 11th dimension that becomes large at strong coupling, the
scaling law being

In the IIA case
the 11th dimension is a circle, whereas in the HE case it is a
line interval (so that the eleven-dimensional space-time has two ten-dimensional
boundaries).
The strong coupling limit
of either of these theories gives an 11-dimensional space-time. The eleven-dimensional
description of the underlying theory is called "M theory." As yet,
it is less well understood than the five 10-dimensional string theories.
The connections among
theories that we've mentioned are sketched below.
(S1 denotes a circle and I denotes a line interval.)
There are many additional dualities that arise when more dimensions are compactified, which will not be described here.
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