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A non-supersymmetric open-string theory and \(S\)-duality. (English) Zbl 1004.81547

Summary: A non-supersymmetric ten-dimensional open-string theory is constructed as an orbifold of type I string theory, and as an orientifold of the bosonic type \(B\) theory. It is purely bosonic, and cancellation of massless tadpoles requires the gauge group to be \(\text{SO}(32)\times \text{SO}(32)\). The spectrum of the theory contains a closed-string tachyon, and open-string tachyons in the \((32,32)\) multiplet. The D-branes of this theory are analyzed, and it is found that the massless excitations of one of the 1-branes coincide with the world-sheet degrees of freedom of the \(D=26\) bosonic string theory compactified on the SO(32) lattice. This suggests that the two theories are related by S-duality.

MSC:

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

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