  Logarithmic conformal field theories with vanishing central charge describe
systems with quenched disorder, percolation or dilute self-avoiding polymers.
In these theories the energy momentum tensor acquires a logarithmic partner. In
this talk we address the construction of possible gravity duals for these
logarithmic conformal field theories and present two viable candidates for such
duals, namely theories of massive gravity in three dimensions at a chiral
point.
