Ponente
Descripción
The AdS_2/CFT_1 correspondence plays a key role in the microscopical description of extremal black holes, AdS_2 being part of the geometry that appears in their near horizon limit in any dimension.
Another useful application of the AdS_1/CFT_2 correspondence is to the holographic description of superconformal line defects in higher dimensional CFTs. Geometrically, a sign that an AdS_2 solution may be describing a superconformal line defect is that it flows asymptotically locally to a higher dimensional AdS background, dual far from the defects to the higher dimensional CFT in which they are embedded.
I will present general results on the construction of AdS_2 solutions to Type II supergravity via U(1) and SL(2) T-dualities, paying special attention to the conditions for preservation of supersymmetry. I then exploit these to construct new classes of small N=4 solutions in Type II supergravity.
I also applied this procedure to two solutions in Type IIA Supergravity with CP3 along the internal space. These preserve N=(5,0) or N=(6,0) supersymmetry and realise the superconformal algebras osp (5|2) and osp(6|2). This results in four new classes of AdS_2 solutions, realising these superconformal algebras, hinting that a more general class AdS_2×CP^3×Σ may exist.
