Heterotic and type I string dynamics from eleven dimensions. (English) Zbl 1004.81525
Summary: We propose that the ten-dimensional \(E_{8}\times E_{8}\) heterotic string is related to an eleven-dimensional theory on the orbifold \(\mathbb{R}^{10}\times S^{1}/\mathbb{Z}_2\) in the same way that the Type IIA string in ten dimensions is related to \(\mathbb{R}^{10}\times S^{1}\). This in particular determines the strong coupling behavior of the ten-dimensional \(E_{8}\times E_8\) theory. It also leads to a plausible scenario whereby duality between \(SO(32)\) heterotic and Type I superstrings follows from the classical symmetries of the eleven-dimensional world, just as the \(SL(2,\mathbb{Z}\)) duality of the ten-dimensional Type IIB theory follows from eleven-dimensional diffeomorphism invariance.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E30 | String and superstring theories in gravitational theory |
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