A deformed IR: a new IR fixed point for four-dimensional holographic theories

dc.creatorHorowitz, GT
dc.creatorKolanowski, M
dc.creatorSantos, JE
dc.date2023-03-08T16:00:43Z
dc.date2023-03-08T16:00:43Z
dc.date2023-02-15
dc.date2022-11-19
dc.date2023-03-08T16:00:42Z
dc.date.accessioned2026-08-03T03:15:53Z
dc.description<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>In holography, the IR behavior of a quantum system at nonzero density is described by the near horizon geometry of an extremal charged black hole. It is commonly believed that for systems on <jats:italic>S</jats:italic><jats:sup>3</jats:sup>, this near horizon geometry is AdS<jats:sub>2</jats:sub> × <jats:italic>S</jats:italic><jats:sup>3</jats:sup>. We show that this is not the case: generic static, nonspherical perturbations of AdS<jats:sub>2</jats:sub> × <jats:italic>S</jats:italic><jats:sup>3</jats:sup> blow up at the horizon, showing that it is not a stable IR fixed point. We then construct a new near horizon geometry which is invariant under only SO(3) (and not SO(4)) symmetry and show that it is stable to SO(3)-preserving perturbations (but not in general). We also show that an open set of nonextremal, SO(3)-invariant charged black holes develop this new near horizon geometry in the limit <jats:italic>T</jats:italic> → 0. Our new IR geometry still has AdS<jats:sub>2</jats:sub> symmetry, but it is warped over a deformed sphere. We also construct many other near horizon geometries, including some with no rotational symmetries, but expect them all to be unstable IR fixed points.</jats:p>
dc.formatapplication/pdf
dc.formattext/xml
dc.identifierJournal of High Energy Physics, volume 2023, issue 2, article-number 152
dc.identifier1126-6708
dc.identifierjhep02(2023)152
dc.identifier20246
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/347273
dc.identifier10.17863/CAM.94688
dc.identifier1029-8479
dc.identifier2211.01385
dc.identifier.urihttps://repo.dare.co.zw/handle/123456789/174669
dc.languageen
dc.publisherSpringer Science and Business Media LLC
dc.subjectRegular Article - Theoretical Physics
dc.subjectAdS-CFT Correspondence
dc.subjectBlack Holes
dc.titleA deformed IR: a new IR fixed point for four-dimensional holographic theories
dc.typeArticle

Files