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Scherk-Schwarz breaking and intersecting branes. (English) Zbl 1178.81210
From the text: We study the effect of Scherk-Schwarz deformations on intersecting branes. Non-chiral fermions in any representation of the Chan-Paton gauge group generically acquire a tree-level mass dependent on the compactification radius and the brane wrapping numbers. This offers an elegant solution to one of the long-standing problems in intersecting-brane-world models where the ubiquitous presence of massless non-chiral fermions is a clear embarrassment for any attempt to describe the Standard Model of particle physics.
The paper is organised as follows. In Section two we review the description of Scherk-Schwarz deformations in nine-dimensional open-string models as first discussed in [I. Antoniadis, E. Dudas and A. Sagnotti, ibid. 544, No. 3, 469–502 (1999; Zbl 0944.81028), arXiv:hep-th/9807011]. In Section three we turn to the general topic of intersecting branes. After we explain our notation and conventions we introduce in this context some simple deformations of the open-string sector that play an important role in the description of the Scherk-Schwarz deformations in terms of freely acting orbifolds. Section four represents the main part of this paper and describes intersecting brane models with modified boundary conditions à la Scherk-Schwarz. Here we follow different paths to justify our results and present toroidal examples of Standard-Model-like spectra without massless non-chiral fermions. Finally, in Section five we extend our results to the case of orbifold compactifications.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81R40 Symmetry breaking in quantum theory
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