On sevenbrane dependent instanton prefactors in Ftheory
Abstract
We study the modulidependent prefactor of M5instanton corrections to the superpotential in fourdimensional Ftheory compactifications. In light of the Mtheory and type IIb limits and also heterotic duality, we propose that the explicit moduli dependence of the prefactor can be computed by a study of zero modes localized at intersections between the instanton and sevenbranes. We present an instanton prefactor in an E _{6} Ftheory GUT which does not admit a heterotic dual and show that it vanishes if and only if a point of E _{8} enhancement is present in the instanton worldvolume. More generically, we discuss the relationship between points of E _{8} and superpotential zeroes and give sufficient conditions for such a point to cause a zero, even for an SU(5) GUT. We scan a large class of compactifications for instanton physics and demonstrate that many instantons have the same prefactor structure. We discuss the associated implications and complications for moduli stabilization. We present an explicit resolution and construction of Gflux in a generic E _{6} GUT and identify a global compactification of the local model spectral cover which happens to facilitate prefactor computations. Via a Leray spectral sequence, we demonstrate the relationship between rightmovers of heterotic worldsheet instantons, 33 strings of euclidean D3 instantons, and the Fermi zero modes of M5instantons.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2012
 DOI:
 10.1007/JHEP11(2012)007
 Bibcode:
 2012JHEP...11..007C
 Keywords:

 FTheory;
 Superstring Vacua