Counting fermionic zero modes on M5 with fluxes

Details Counting fermionic zero modes on M5 with fluxes Counting fermionic zero modes on M5 with fluxes

2005-03-17

arxiv.org/abs/hep-th/0503138v2

JHEP 0506 (2005) 069

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. v2: reference added, typos corrected, few changes

Scientific paper

10.1088/1126-6708/2005/06/069

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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