Solitonic Excitations in AdS2
Abstract
We construct large families of supergravity solutions that are asymptotic to AdS 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 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 solitons in supergravity \cite{Bah:2022pdn}. The technique is applied to in M-theory with ST. The directions of 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.
Keywords
Cite
@article{arxiv.2212.05065,
title = {Solitonic Excitations in AdS2},
author = {Pierre Heidmann and Anthony Houppe},
journal= {arXiv preprint arXiv:2212.05065},
year = {2023}
}
Comments
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