Solitonic excitations in \(\mathrm{AdS}_2\). (English) Zbl 07744331
Summary: We construct large families of supergravity solutions that are asymptotic to \(\mathrm{AdS}_2\) 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 \(\mathrm{AdS}_2\) 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 \(\mathrm{AdS}_D \times \mathcal{C}\) solitons in supergravity [I. Bah and P. Heidmann, J. High Energy Phys. 2023, No. 2, Paper No. 133, 67 p. (2023; Zbl 1541.83036)]. The technique is applied to \(D = 2\) in M-theory with \(\mathcal{C} = \mathrm{S}^3\times\mathrm{T}^6\). 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 \(\mathrm{CFT}_1\).
MSC:
| 81-XX | Quantum theory |
Citations:
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