N=1 and N=2 geometry from fluxes

Jun, 2002
27 pages
e-Print:
Report number:
  • HUTP-02-A021

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Abstract:
We provide a proof of the equivalence of N=1 dynamics obtained by deforming N=2 supersymmetric gauge theories by addition of certain superpotential terms, with that of type IIB superstring on Calabi-Yau threefold geometries with fluxes. In particular we show that minimization of the superpotential involving gaugino fields is equivalent to finding loci where Seiberg-Witten curve has certain factorization property. Moreover, by considering the limit of turning off of the superpotential we obtain the full low energy dynamics of N=2 gauge systems from Calabi-Yau geometries with fluxes.
  • string model
  • supersymmetry
  • effective action
  • gauge field theory: U(N)
  • duality
  • differential forms
  • Riemann surface: higher-order
  • flux
  • space: Calabi-Yau