Solitonic Excitations in AdS2

Abstract

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${}_1$.

46 pages, 15 figures, 3 appendices. v2 published version: minor corrections + section about energy of the solutions. arXiv admin note: text overlap with arXiv:2210.06483

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Cited by in corpus (1)

• Half the Schwarzschild Entropy from Strominger-Vafa Black Holes