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) sigma-models and argue for their validity to all orders in alpha'. 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.

Bianchi, M., Fucito, F., Rossi, G., & Martellini, M. (1995). ALE instantons in string effective theory. NUCLEAR PHYSICS. B, 440(1-2), 129-170 [10.1016/0550-3213(94)00552-P].

ALE instantons in string effective theory

Bianchi M.;Rossi G.;
1995

Abstract

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) sigma-models and argue for their validity to all orders in alpha'. 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.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02
eng
Bianchi, M., Fucito, F., Rossi, G., & Martellini, M. (1995). ALE instantons in string effective theory. NUCLEAR PHYSICS. B, 440(1-2), 129-170 [10.1016/0550-3213(94)00552-P].
Bianchi, M; Fucito, F; Rossi, G; Martellini, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/292675
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