Quartic gauge couplings from K3 geometry
Nov, 199831 pages
Published in:
- Adv.Theor.Math.Phys. 3 (1999) 1575-1611
e-Print:
- hep-th/9811228 [hep-th]
Report number:
- CERN-TH-98-378
Citations per year
Abstract:
We show how certain F^4 couplings in eight dimensions can be computed using the mirror map and K3 data. They perfectly match with the corresponding heterotic one-loop couplings, and therefore this amounts to a successful test of the conjectured duality between the heterotic string on T^2 and F-theory on K3. The underlying quantum geometry appears to be a 5-fold, consisting of a hyperk"ahler 4-fold fibered over a IP^1 base. The natural candidate for this fiber is the symmetric product Sym^2(K3). We are lead to this structure by analyzing the implications of higher powers of E_2 in the relevant Borcherds counting functions, and in particular the appropriate generalizations of the Picard-Fuchs equations for the K3.- lectures: La Plata 1997/04/28
- Seiberg-Witten model
- gauge field theory: Yang-Mills
- supersymmetry
- string model: heterotic
- duality
- approximation: semiclassical
- effective Lagrangian
- gauge field theory: SU(N)
- moduli space
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