ALE Instantons in String Effective Theory

Details ALE Instantons in String Effective Theory ALE Instantons in String Effective Theory

1994-09-07

arxiv.org/abs/hep-th/9409037v1

Nucl.Phys. B440 (1995) 129-170

Physics

High Energy Physics

High Energy Physics - Theory

62 pages, phyzzx.tex, ROM2F-94-17

Scientific paper

10.1016/0550-3213(94)00552-P

We show that the classical equations of motion of the low-energy effective field theory describing the massless modes of the heterotic (or type I) string admit two classes of supersymmetric self--dual backgrounds. The first class, which was already considered in the literature, consists of solutions with a (conformally) flat metric coupled to axionic instantons. The second includes Asymptotically Locally Euclidean (ALE) gravitational instantonic backgrounds coupled to gauge instantons through the so--called ``standard embedding''. We show that some elements of these two classes of solutions are dual to each other in the sense of Buscher's duality. We give a world--sheet interpretation of the heterotic ALE istanton solutions in terms of superconformal $N=(4,4)$ $\s$--models and argue for their validity to all orders in $\alpha^\prime$. Specializing the gravitational background to the Eguchi--Hanson instanton, we compute the indices of the fermionic operators and give the explicit form of all the relevant fermionic and bosonic zero--modes.}

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