On the twisted chiral potential in 2-D and the analog of rigid special geometry for four folds
Apr, 199918 pages
Published in:
- JHEP 06 (1999) 021
e-Print:
- hep-th/9904218 [hep-th]
Report number:
- CERN-TH-99-114
Citations per year
Abstract:
We discuss how to obtain an N=(2,2) supersymmetric SU(3) gauge theory in two dimensions via geometric engineering from a Calabi-Yau 4-fold and compute its non-perturbative twisted chiral potential. The relevant compact part of the 4-fold geometry consists of two intersecting P^1's fibered over P^2. The rigid limit of the local mirror of this geometry is a complex surface that generalizes the Seiberg-Witten curve and on which there exist two holomorphic 2-forms. These stem from the same meromorphic 2-form as derivatives w.r.t. the two moduli, respectively. The middle periods of this meromorphic form give directly the twisted chiral potential. The explicit computation of these and of the four-point Yukawa couplings allows for a non-trivial test of the analogue of rigid special geometry for a 4-fold with several moduli.- gauge field theory: SU(3)
- supersymmetry
- field theory: Calabi-Yau
- dimension: 4
- dimension: 2
- potential: chiral
- coupling: Yukawa
- geometry
References(21)
Figures(0)