Aspects of AdS2 classification in M-theory: solutions with mesonic and baryonic charges

Abstract

We construct necessary and sufficient geometric conditions for a class of AdS 2 solutions of M-theory with, at least, minimal supersymmetry to exist. We generalize previous results in the literature for N = (2, 0) supersymmetry in AdS 2 to N = (1, 0). When the solution can be locally described as AdS 2 × Σ g × SE 7 with Σ g a Riemann surface of genus g and SE 7 a seven-dimensional Sasaki-Einstein manifold, we clarify and unify various solutions present in the literature. In the case of SE 7 = Q 1,1,1 we find a new solution with baryonic and mesonic charges turned on simultaneously.A There are no AdS 2 solutions with Spin(7)-structure 32 B No AdS 3 solutions within SU(4)-structure AdS 2 class 33 C Killing spinor approach 35

Uplifting dyonic AdS4 black holes on seven-dimensional Sasaki-Einstein manifolds

“…Recently, these solutions were revisited in [36,37]. We will show that the uplifts of magnetic, dyonic black holes correspond to AdS 2 solutions in M-theory with electric and dyonic baryonic fluxes, respectively, studied in [31,32,36,37].…”

“…We focus on a particular class of solutions where the eight-dimensional Kähler manifolds are products of two-dimensional Kähler-Einstein manifolds [31,32]. Recently, these solutions were revisited in [36,37]. We will show that the uplifts of magnetic, dyonic black holes correspond to AdS 2 solutions in M-theory with electric and dyonic baryonic fluxes, respectively, studied in [31,32,36,37].…”

“…Furthermore, AdS 2 solutions in Mtheory [31,32] also have baryonic charges. See also [33][34][35][36][37]. Given the explicit black hole solutions with baryonic charges, one can easily compute the Bekenstein-Hawking entropy, which can be successfully reproduced by solving variational problem [9,11].…”

“…These AdS 2 solutions in eleven-dimensional supergravity were revisited rather recently [36]. As discussed in [37], the solutions with the electric baryonic charges studied in the section 4 of [36] correspond to those of [31]. With the following identifications 36) one can check the explicit form of the metric and the four-form flux 17…”

“…As in the case of magnetic black holes, these AdS 2 solutions were also revisited in [36,37]. Because the form of the uplifted solutions, particularly the form of the flux, is quite messy, let us consider simple cases to make a comparison more explicitly.…”