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1. Non-BPS bubbling geometries in AdS3

   https://doi.org/10.1007/JHEP02(2023)133  

   Bah, Ibrahima; Heidmann, Pierre (February 2023, Journal of High Energy Physics)

   A bstract We construct large classes of non-BPS smooth horizonless geometries that are asymptotic to AdS 3 × S 3 × T 4 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 T 4 and S 3 deformations on global AdS 3 × S 3 × T 4 that are located at the center of AdS 3 . 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. 

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2. A note on co-dimension 2 defects in N = 4,d = 7 gauged supergravity

   https://doi.org/10.1016/j.nuclphysb.2022.115969  

   Gutperle, Michael; Klein, Nicholas (November 2022, Nuclear Physics B)

   In this note we present a solution of N=4,d=7 gauged supergravity which is holographically dual to a co-dimension two defect living in a six dimensional SCFT. The solution is obtained by double analytic continuation of a two charge supersymmetric black hole solution. The condition that no conical deficits are present in the bulk and on the boundary is satisfied by a one parameter family of solutions for which some holographic observables are computed. 

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3. The statistical mechanics of near-BPS black holes

   https://doi.org/10.1088/1751-8121/ac3be9  

   Heydeman, Matthew; Iliesiu, Luca V; Turiaci, Gustavo J; Zhao, Wenli (December 2021, Journal of Physics A: Mathematical and Theoretical)

   Abstract Due to the failure of thermodynamics for low temperature near-extremal black holes, it has long been conjectured that a ‘thermodynamic mass gap’ exists between an extremal black hole and the lightest near-extremal state. For non-supersymmetric near-extremal black holes in Einstein gravity with an AdS 2 throat, no such gap was found. Rather, at that energy scale, the spectrum exhibits a continuum of states, up to non-perturbative corrections. In this paper, we compute the partition function of near-BPS black holes in supergravity where the emergent, broken, symmetry is PSU (1, 1|2). To reliably compute this partition function, we show that the gravitational path integral can be reduced to that of a N = 4 supersymmetric extension of the Schwarzian theory, which we define and exactly quantize. In contrast to the non-supersymmetric case, we find that black holes in supergravity have a mass gap and a large extremal black hole degeneracy consistent with the Bekenstein–Hawking area. Our results verify a plethora of string theory conjectures, concerning the scale of the mass gap and the counting of extremal micro-states. 

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4. 4D $$ \mathcal{N} $$ = 1 Kaluza-Klein superspace

   https://doi.org/10.1007/JHEP09(2020)091  

   Becker, Katrin; Butter, Daniel (September 2020, Journal of High Energy Physics)

   null (Ed.)

   A bstract Motivated by recent efforts to encode 11D supergravity in 4D $$ \mathcal{N} $$ N = 1 superfields, we introduce a general covariant framework relevant for describing any higher dimensional supergravity theory in external 4D $$ \mathcal{N} $$ N = 1 superspace with n additional internal coordinates. The superspace geometry admits both external and internal diffeomorphisms and provides the superfields necessary to encode the components of the higher dimensional vielbein, except for the purely internal sector, in a universal way that depends only on the internal dimension n . In contrast, the $$ \mathcal{N} $$ N = 1 superfield content of the internal sector of the metric is expected to be highly case dependent and involve covariant matter superfields, with additional hidden higher dimensional Lorentz and supersymmetry transformations realized in a non-linear manner. 

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5. Components of eleven-dimensional supergravity with four off-shell supersymmetries

   https://doi.org/10.1007/JHEP07(2021)032  

   Becker, Katrin; Butter, Daniel; Linch, William D.; Sengupta, Anindya (July 2021, Journal of High Energy Physics)

   A bstract We derive the component structure of 11D, N = 1/8 supergravity linearized around eleven-dimensional Minkowski space. This theory represents 4 local supersymmetries closing onto 4 of the 11 spacetime translations without the use of equations of motion. It may be interpreted as adding 201 auxiliary bosons and 56 auxiliary fermions to the physical supergravity multiplet for a total of 376 + 376 components. These components and their transformations are organized into representations of SL(2; C ) × G 2 . 

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