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We study exact solutions to Cosmological Topologically Massive Gravity (CTMG)coupled to Topologically Massive Electrodynamics (TME) at special values of thecoupling constants. For the particular case of the so called chiral pointl\mu_G=1, vacuum solutions (with vanishing gauge field) are exhibited. Thesecorrespond to a one-parameter deformation of GR solutions, and are continuouslyconnected to the extremal Ba\~nados-Teitelboim-Zanelli black hole (BTZ) withbare constants J=-lM. At the chiral point this extremal BTZ turns out to bemassless, and thus it can be regarded as a kind of ground state. Although thesolution is not asymptotically AdS_3 in the sense of Brown-Henneaux boundaryconditions, it does obey the weakened asymptotic recently proposed by Grumillerand Johansson. Consequently, we discuss the holographic computation of theconserved charges in terms of the stress-tensor in the boundary. For the casewhere the coupling constants satisfy the relation l\mu_G=1+2l\mu_E,electrically charged analogues to these solutions exist. These solutions areasymptotically AdS_3 in the strongest sense, and correspond to a logarithmicbranch of selfdual solutions previously discussed in the literature.

Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants