On Instanton Effects in F-theory

Feb, 2010
49 pages
Published in:
  • JHEP 08 (2010) 079
e-Print:
Report number:
  • MPP-2010-11,
  • LMU-ASC-05-10

Citations per year

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Abstract: (arXiv)
We revisit the issue of M5-brane instanton corrections to the superpotential in F-theory compactifications on elliptically fibered Calabi-Yau fourfolds. Elaborating on concrete geometries, we compare the instanton zero modes for non-perturbative F-theory models with the zero modes in their perturbative Sen limit. The fermionic matter zero modes localized on the intersection of the instanton with the space-time filling D7-branes show up in a geometric way in F-theory. Methods for their computation are developed and, not surprisingly, exceptional gauge group structures do appear. Finally, quite intriguing geometrical aspects of the one-loop determinant are discussed.
Note:
  • 52 pages, 8 figures, 13 tables; v2: extended discussion of matter zero modes, refs added; v3: sections 3.3 + 4.1 restructured
  • F-Theory
  • M-Theory
  • Intersecting branes models
  • F-theory: compactification
  • instanton: correction
  • instanton: effect
  • fermion: matter
  • zero mode
  • nonperturbative
  • superpotential
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