Heterotic AdS_3/CFT_2 duality with (0,4) spacetime supersymmetry

TL;DR

This paper explores the AdS_3/CFT_2 duality in a heterotic string context with (0,4) supersymmetry, proposing a specific dual CFT and verifying its consistency through central charge calculations and supergravity corrections.

Contribution

It proposes a dual (0,4) sigma model for heterotic AdS_3/CFT_2 duality and confirms its validity via central charge matching and supergravity analysis.

Findings

Central charges of the CFT match worldsheet predictions.

The dual CFT is a (0,4) sigma model on the Higgs branch.

Central charge can be derived from alpha'-corrected supergravity.

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 x S^3/Z_N x T^4 near-horizon geometry was constructed by Kutasov, Larsen and Leigh in [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 alpha'-corrected supergravity theory.