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.
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