Higher Derivative F-terms in N=2 Strings

Details Higher Derivative F-terms in N=2 Strings Higher Derivative F-terms in N=2 Strings

1996-07-25

arxiv.org/abs/hep-th/9607193v1

Nucl.Phys. B481 (1996) 389-402

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, latex file, no figures

Scientific paper

We study a special class of higher derivative F-terms of the form $F_{g,n}W^{2g}(\Pi f)^{n}$ where W is the N=2 gravitational superfield and $\Pi$ is the chiral projector applied to a non-holomorphic function $f$ of the heterotic dilaton vector superfield. We analyze these couplings in the heterotic theory on $K3\times T^2$ , where it is found they satisfy an anomaly equation as the well studied $F_{g,0}$ terms. We recognize that, near a point of SU(2) enhancement, a given generating function of the leading singularity of the $F_{g,n}$ reproduces the free energy of a c=1 string at an arbitrary radius R. According to the N=2 heterotic-type II duality in 4d, we then study these couplings near a conifold singularity, using its local description in terms of intersecting D-5-branes. In this context, it turns out that there exists, among the other states involved, a vector gauge field reproducing the heterotic leading singularity structure.

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