Type 2 theories compactified on Calabi-Yau threefolds in the presence of background fluxes

Feb, 2002
35 pages
Published in:
  • Nucl.Phys.B 635 (2002) 395-431
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Abstract:
Compactifications of type II theories on Calabi-Yau threefolds including electric and magnetic background fluxes are discussed. We derive the bosonic part of the four-dimensional low energy effective action and show that it is a non-canonical N=2 supergravity which includes a massive two-form. The symplectic invariance of the theory is maintained as long as the flux parameters transform as a symplectic vector and a massive two-form which couples to both electric and magnetic field strengths is present. The mirror symmetry between type IIA and type IIB compactified on mirror manifolds is shown to hold for R-R fluxes at the level of the effective action. We also compactify type IIA in the presence of NS three-form flux but the mirror symmetry in this case remains unclear.
Note:
  • 36 pages, Latex, version to appear in Nucl. Phys. B
  • string model
  • compactification: Calabi-Yau
  • flux: electric
  • flux: magnetic
  • effective action
  • supergravity
  • dimension: 10
  • invariance: symplectic
  • symmetry: mirror
  • Kaluza-Klein model