Construct the fully backreacted baryonic-condensate black-hole solution

Construct the fully backreacted supergravity solution describing a baryonic hairy BPS black hole in AdS$_5\times T^{1,1}$ whose baryonic condensate interpolates between an asymptotic AdS$_5\times T^{1,1}$ region in the ultraviolet and an AdS$_5\times S^5$ throat in the infrared.

Background

The paper interprets wrapped D3-branes on non-contractible cycles of T1,1T^{1,1} as a probe approximation to black holes surrounded by a baryonic condensate. The proposed field-theory picture involves an interpolation between an ultraviolet AdS5×T1,1_5\times T^{1,1} region and an infrared AdS5×S5_5\times S^5 throat. The authors explain that at generic baryonic Higgs vacuum expectation value the two regions must be described by a single fully backreacted geometry, rather than by separate weakly interacting components; this geometry has not yet been constructed.

References

The latter, which consists of the fully backreacted supergravity solution where the two can no longer be treated separately (i.e. at generic VEV) is still to be constructed.

— On Grey Galaxies and D3-branes on the Conifold  (2609.38064 - Amariti et al., 29 Sep 2026) in Section Conclusions and implications for the dual CFT