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On the low energy spectra of the non-supersymmetric heterotic string theories. (English) Zbl 1189.81177

Summary: The ten dimensional string theories as well as eleven dimensional supergravity are conjectured to arise as limits of a more basic theory, traditionally dubbed M-theory. This notion is confined to the ten dimensional supersymmetric theories. String theory, however, also contains ten dimensional non-supersymmetric theories that have not been incorporated into this picture. In this note we explore the possibility of generating the low energy spectra of various non-supersymmetric heterotic string vacua from the Horava-Witten model. We argue that this can be achieved by imposing on the Horava-Witten model an invariance with respect to some extra operators which identify the orbifold fixed planes in a non-trivial way, and we demonstrate it for the \(E_{8}\) and \(SO(16)\times SO(16)\) heterotic string vacua in ten dimensions.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

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