A G-structure framework classifies supersymmetric AdS2 solutions of Type II supergravity, yielding two new families: massive IIA with a weak G2 manifold and IIB with AdS2 x S2 x CY2 x Sigma2.
Two faces of $N=7,8$ superconformal mechanics
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abstract
Two variants of $N=7$ superconformal mechanics with manifest $so(7)$ and $su(2) \times su(2)$ $R$-symmetries possessing exceptional $G(3)$ dynamical symmetry are presented. To construct these $G(3)$ theories, we developed two new versions of covariant embedding of the exceptional $g_2$ algebra into the $so(7)$ algebra and then the embedding of $so(7)$ into $so(8)$. As a result, two $N=8$ superconformal mechanics with the $OSp(8|2)$ and $F(4)$ superconformal algebras and $N=7, G(3)$ superconformal mechanics were constructed in a uniform way. The constants of the octonion multiplication play a key role in the construction of superconformal mechanics with manifest $so(7)$ symmetry.
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G-structures for AdS$_2$ solutions
A G-structure framework classifies supersymmetric AdS2 solutions of Type II supergravity, yielding two new families: massive IIA with a weak G2 manifold and IIB with AdS2 x S2 x CY2 x Sigma2.