Five-brane Instantons vs Flux-induced Gauging of Isometries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages; reference added

Scientific paper

10.1088/1126-6708/2006/10/071

In five-dimensional heterotic M-theory there is necessarily nonzero background flux, which leads to gauging of an isometry of the universal hypermultiplet moduli space. This isometry, however, is poised to be broken by M5-brane instanton effects. We show that, similarly to string theory, the background flux allows only brane instantons that preserve the above isometry. The zero-mode counting for the M5 instantons is related to the number of solutions of the Dirac equation on their worldvolume. We investigate that equation in the presence of generic background flux and also, in a particular case, with nonzero worldvolume flux.

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