Solitonic Excitations in AdS2

We construct large families of supergravity solutions that are asymptotic to AdS\(_2\) and terminate with a cap that is singular in two dimensions but smooth in higher dimensions. These solutions break supersymmetry and conformal invariance. We list arguments suggesting that they correspond to finit...

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Veröffentlicht in:arXiv.org 2023-07
Hauptverfasser: Heidmann, Pierre, Houppe, Anthony
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Sprache:eng
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Zusammenfassung:We construct large families of supergravity solutions that are asymptotic to AdS\(_2\) and terminate with a cap that is singular in two dimensions but smooth in higher dimensions. These solutions break supersymmetry and conformal invariance. We list arguments suggesting that they correspond to finite-energy excitations in empty AdS\(_2\) that back-react on the geometry by inducing non-trivial bubbling topology. They are constructed from the novel technique associated with the Ernst formalism for AdS\(_D\times\mathcal{C}\) solitons in supergravity \cite{Bah:2022pdn}. The technique is applied to \(D=2\) in M-theory with \(\mathcal{C}=\,\)S\(^3\times\)T\(^6\). The directions of \(\mathcal{C}\) degenerate smoothly as a chain of bolts which ends the spacetime in the IR and generates non-supersymmetric bubbles supported by M2-brane flux. Some specific solutions have ``flat'' directions where the sizes of their bubbles are totally unconstrained and can be arbitrarily tuned while the asymptotics remains fixed. The solitons should correspond to regular non-supersymmetric states of a holographically dual CFT\(_1\).
ISSN:2331-8422
DOI:10.48550/arxiv.2212.05065