Abstract
As we have seen, the critical dimension for the bosonic (super)string is 26(10); therefore, we must compactify the extra dimensions so that we have an acceptable four-dimensional phenomenology. Because, to any order in perturbation theory, the dimension of space-time seems perfectly stable, we must necessarily resort to nonperturbative methods to compactify the unwanted dimensions. However, our techniques for analyzing nonperturbative phenomena are notoriously primitive, and at present there is no way in which nonperturbative phenomena can be systematically analyzed for the string.
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Kaku, M. (1991). N=2 SUSY and Parafermions. In: Strings, Conformal Fields, and Topology. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0397-8_5
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DOI: https://doi.org/10.1007/978-1-4684-0397-8_5
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