Non-BPS bubbling geometries in AdS3

Abstract

We construct large classes of non-BPS smooth horizonless geometries that are asymptotic to AdS3 × S3 × T4 in type IIB supergravity. These geometries are supported by electromagnetic flux corresponding to D1-D5 charges. We show that Einstein equations for systems with eight commuting Killing vectors decompose into a set of Ernst equations, thereby admitting an integrable structure. This feature, which can a priori be applied to other $$ {\textrm{AdS}}_D\times \mathcal{C} $$ AdS D × C settings in supergravity, allows us to use solution-generating techniques associated with the Ernst formalism. We explicitly derive solutions by applying the charged Weyl formalism that we have previously developed. These are sourced internally by a chain of bolts that correspond to regions where the orbits of the commuting Killing vectors collapse smoothly. We show that these geometries can be interpreted as non-BPS T4 and S3 deformations on global AdS3 × S3 × T4 that are located at the center of AdS3. These non-BPS deformations can be made arbitrarily small and should therefore correspond to non-supersymmetric operators in the D1-D5 CFT. Finally, we also construct interesting bound states of non-extremal BTZ black holes connected by regular bolts.

A 4d non-BPS NS-NS microstate

“…A set of smooth nonextremal microstate geometries were constructed in [41]. A set of smooth non-BPS geometries were constructed in a variety of scenarios using non-trivial topological structures in [42][43][44][45], with a smooth Schwarzschild-like geometry being constructed in [46]. While microstate geometries have yielded significant results in recent years one can consider what happens beyond the regime of supergravity.…”

On the stability and deformability of top stars

“…Given the enormous success in the context of supersymmetric 2-charge black strings, 3and 4-charged BHs in four and five dimensions [8][9][10][11], recent attempts were made to extend JHEP12(2023)121 the analysis to non-supersymmetric and neutral cases [12]. While JMaRT solutions [13] have been shown to suffer an ergo-region instability [14] as well as a 'charge instability' [15], the stability of special solutions recently constructed by Bah and Heidmann dubbed 'topological stars' [12,[16][17][18] (or 'top stars' for brevity in the present investigation) has been established at the classical and thermodynamical level in [19][20][21]. Moreover their imaging based on geodesics has been studied in [22].…”

Geometric Resolution of Schwarzschild Horizon

“…The proposed resolution of the Schwarzschild horizon is based on recent work [11][12][13][14][15], in which we develop a new mechanism to systematically construct static topological solitons in generic theories of gravity. These solitons use geometric transitions induced by the dynamics of extra compact dimensions and supported by electromagnetic flux.…”

“…These solitons use geometric transitions induced by the dynamics of extra compact dimensions and supported by electromagnetic flux. Explicit constructions have been realized by generalizing the Ernst formalism [13][14][15]. See [11,12] for pedagogical discussion and [13,15] for their descriptions as coherent quantum gravity states in string theory.…”

“…Explicit constructions have been realized by generalizing the Ernst formalism [13][14][15]. See [11,12] for pedagogical discussion and [13,15] for their descriptions as coherent quantum gravity states in string theory.…”