Solitonic excitations in AdS2
Pierre Heidmann, Anthony Houppe
Abstract
A bstract 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 × 𝒞 solitons in supergravity [1]. The technique is applied to D = 2 in M-theory with 𝒞 = S 3 × T 6 . The directions of 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 .