On AdS2 × S7, its ℤk orbifold and their dual quantum mechanics

A bstract We consider a previously constructed class of massive Type IIA AdS 2 × S 7 × I solutions with OSp(8|2) symmetry, as well as OSp(6|2)-symmetric ones, by replacing the S 7 with the orbifold S 7 /ℤ k . In both cases we construct global solutions for which the interval I is bounded between physical singularities, by allowing D8-branes transverse to I . We also generate a new class of Type IIB AdS 2 × ℂℙ 3 × S 1 × I solutions by T-duality and establish a chain of dualities that maps the massless limit of these classes to AdS₄/Z_k× S/Zₖ AdS 4 / ℤ k ′ × S / ℤ k , thus identifying the brane configurations yielding these solutions. We propose that the N=8 N = 8 solutions are dual to a theory living on a D0-F1-D8 brane intersection which has a description in terms of disconnected quivers and similarly for the N=6 N = 6 solutions.