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arXiv · 2212.05065

Solitonic Excitations in AdS2

Pierre Heidmann·Anthony Houppe
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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$_1$.

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Pierre Heidmann, Anthony Houppe. 2022-12-09. Solitonic Excitations in AdS2. https://doi.org/10.1007/jhep07(2023)186

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