Prepotential, Mirror Map and F-Theory on K3

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dc.creatorLerche, W.
dc.creatorStieberger, S.
dc.date1998-04-27
dc.date1999-04-05
dc.date.accessioned2026-07-07T11:36:13Z
dc.date.available2026-07-07T11:36:13Z
dc.descriptionWe compute certain one-loop corrections to F^4 couplings of the heterotic string compactified on T^2, and show that they can be characterized by holomorphic prepotentials. We then discuss how some of these couplings can be obtained in F-theory, or more precisely from 7-brane geometry in type IIB language. We in particular study theories with E_8 x E_8 and SO(8)^4 gauge symmetry, on certain one-dimensional sub-spaces of the moduli space that correspond to constant IIB coupling. For these theories, the relevant geometry can be mapped to Riemann surfaces. Physically, the computations amount to non-trivial tests of the basic F-theory -- heterotic duality in eight dimensions. Mathematically, they mean to associate holomorphic 5-point couplings of the form (del_t)^5 G = sum[ g_l l^5 q^l/(1-q^l) ] to K3 surfaces. This can be seen as a novel manifestation of the mirror map, acting here between open and closed string sectors.
dc.description36 pages, 2 figures (published version)
dc.identifierhttps://arxiv.org/abs/hep-th/9804176
dc.identifierhttp://arxiv.org/abs/hep-th/9804176
dc.identifierAdv.Theor.Math.Phys.2:1105-1140,1998; Erratum-ibid.3:1199-2000,1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198846
dc.subjectHigh Energy Physics - Theory
dc.titlePrepotential, Mirror Map and F-Theory on K3
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