English

Solitonic Excitations in AdS2

High Energy Physics - Theory 2023-08-09 v2

Abstract

We construct large families of supergravity solutions that are asymptotic to AdS2_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 AdS2_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 AdSD×C_D\times\mathcal{C} solitons in supergravity \cite{Bah:2022pdn}. The technique is applied to D=2D=2 in M-theory with C=\mathcal{C}=\,S3×^3\timesT6^6. The directions of C\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 CFT1_1.

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

R2 v1 2026-06-28T07:28:22.460Z