  We propose a non-unitary example of holography for the family of
two-dimensional logarithmic conformal field theories with negative central
charge $c= c_{p,1} = - 6p +13 - 6 p^{-1}$. We argue that at large $p$, these
models have a semiclassical gravity-like description which contains, besides
the global AdS$_3$ spacetime, a tower of solitonic solutions describing conical
excess angles. Evidence comes from the fact that the central charge and the
natural modular invariant partition function of such a theory coincide with
those of the $c_{p,1}$ model. These theories have an extended chiral W-algebra
whose currents have large spin of order $|c|$, and which in the bulk are
realized as spinning conical solutions. As a by-product we also find a direct
link between geometric actions for exceptional Virasoro coadjoint orbits, which
describe fluctuations around the conical spaces, and Felder's free field
construction of degenerate representations.
