We study the Dirac equation on an M5 brane wrapped on a divisor in a Calabi--Yau fourfold in the presence of background flux. We reduce the computation of the normal bundle U(1) anomaly to counting the solutions of a finite--dimensional linear system on cohomology. This system depends on the choice of flux. In an example, we find that the presence of flux changes the anomaly and allows instanton corrections to the superpotential which would otherwise be absent.

Kallosh, R., Kashani Poor, A., Tomasiello, A. (2005). Counting fermionic zero modes on M5 with fluxes. JOURNAL OF HIGH ENERGY PHYSICS, 6, 1587-1599 [10.1088/1126-6708/2005/06/069].

Counting fermionic zero modes on M5 with fluxes

TOMASIELLO, ALESSANDRO
2005

Abstract

We study the Dirac equation on an M5 brane wrapped on a divisor in a Calabi--Yau fourfold in the presence of background flux. We reduce the computation of the normal bundle U(1) anomaly to counting the solutions of a finite--dimensional linear system on cohomology. This system depends on the choice of flux. In an example, we find that the presence of flux changes the anomaly and allows instanton corrections to the superpotential which would otherwise be absent.
Articolo in rivista - Articolo scientifico
teoria di stringa; istantoni
English
2005
6
1587
1599
none
Kallosh, R., Kashani Poor, A., Tomasiello, A. (2005). Counting fermionic zero modes on M5 with fluxes. JOURNAL OF HIGH ENERGY PHYSICS, 6, 1587-1599 [10.1088/1126-6708/2005/06/069].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/13048
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