$$\hbox {AdS}_3$$ AdS 3 holography for non-BPS geometries

Abstract

Abstract By using the approach introduced in Ganchev et al. (Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries. arXiv:2107.09677 [hep-th]) we construct non-BPS solutions of 6D (1, 0) supergravity coupled to two tensor multiplets as a perturbation of $$\hbox {AdS}_3\times S^3$$ AdS 3 × S 3 . These solutions are both regular and asymptotically $$\hbox {AdS}_3\times S^3$$ AdS 3 × S 3 , so according to the standard holographic framework they must have a dual CFT interpretation as non-supersymmetric heavy operators of the D1–D5 CFT. We provide quantitative evidence that such heavy CFT operators are bound states of a large number of light BPS operators that are mutually non-BPS.