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We consider heterotic strings on a warped Eguchi-Hanson space with five-braneand line bundle gauge fluxes. The heterotic string admits an exact CFTdescription in terms of an asymmetrically gauged SU(2)xSL(2,R) WZW model, in aspecific double scaling limit in which the blow-up radius and the string scaleare sent to zero simultaneously. This allows us to compute the perturbative 6Dspectra for these models in two independent fashions: i) Within thesupergravity approximation we employ a representation dependent index; ii) Inthe double scaling limit we determine all marginal vertex operators of thecoset CFT. To achieve agreement between the supergravity and the CFT spectra,we conjecture that the untwisted and the twisted CFT states correspond to thesame set of hyper multiplets in supergravity. This is in a similar spirit as aconjectured duality between asymptotically linear dilaton CFTs and littlestring theory living on NS-five-branes. As the five-brane charge isnon-vanishing, heterotic (anti-)five-branes have to be added in order to cancelirreducible gauge anomalies. The local spectra can be combined in such a waythat supersymmetry is preserved on the compact resolved T^4/Z_2 orbifold bychoosing the local gauge fluxes appropriately.

Heterotic warped Eguchi-Hanson spectra with five-branes and line bundles