Abstract

We discuss the AdS 3/ CFT 2 duality of a heterotic three-charge model with ( 0 , 4 ) target space supersymmetry. The worldsheet theory for heterotic strings on the AdS 3 × S 3 / Z N × T 4 near-horizon geometry was constructed by Kutasov et al. [D. Kutasov, F. Larsen, R.G. Leigh, String theory in magnetic monopole backgrounds, Nucl. Phys. B 550 (1999) 183, hep-th/9812027]. We propose that the dual conformal field theory is given by a two-dimensional ( 0 , 4 ) sigma model arising on the Higgs branch of an orbifolded ADHM model. As a non-trivial consistency check of the correspondence, we find that the left- and right-moving central charges of the infrared conformal field theory agree with those predicted by the worldsheet model. Moreover, using the entropy function formalism, we show that to next-to-leading order the central charge can also be obtained from an α ′ -corrected supergravity theory.

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