XIX AVOGADRO MEETING on Strings, Supergravity and Gauge Theories

AdS2 vacua from SL(2,R) T-Duality

20 Dec 2023, 15:30

10m

Padova, Scuola della Carità

Gong Show talk + Poster Gong Show

Speaker

Mr Andrea Conti (University of Oviedo)

Description

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${}_2$/CFT${}_1$ 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 $\mathcal{N}=4$ solutions in Type II supergravity.
I also applied this procedure to two solutions in Type IIA Supergravity with ${\mathbb{CP}}^3$ along the internal space. These preserve $\mathcal{N}=(5,0)$ or $\mathcal{N}=(6,0)$ 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${}_2\times {\mathbb{CP}}^3\times \mathrm{\Sigma }$ may exist.