Solitonic Excitations in AdS2

TL;DR

This paper constructs a new class of non-supersymmetric, asymptotically AdS$_2$ supergravity solutions with bubbling topologies, suggesting they represent finite-energy excitations in AdS$_2$ that influence the dual CFT$_1$.

Contribution

It introduces a novel technique using the Ernst formalism to generate non-supersymmetric AdS$_2$ solutions with bubbling geometries in supergravity.

Findings

Constructed large families of AdS$_2$ solutions with bubbling topology.

Solutions exhibit unconstrained bubble sizes while maintaining fixed asymptotics.

Proposed these solutions correspond to finite-energy states in the dual CFT$_1$.

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$_1$.