Abstract
We initiate a classification of mathcal{N}=2 supersymmetric AdS4 solutions of (massive) type IIA supergravity. The internal space is locally equipped with either an SU(2) or an identity structure. We focus on the SU(2) structure and determine the conditions it satisfies, dictated by supersymmetry. Imposing as an Ansatz that the internal space is complex, we reduce the problem of finding solutions to a Riccati ODE, which we solve analytically. We obtain in this fashion a large number of new families of solutions, both regular as well as with localized O8-planes and conical Calabi-Yau singularities. We also recover many solutions already discussed in the literature.
Highlights
When in M-theory, the sum of the Chern-Simons levels of the gauge groups that characterize the field theory is zero
We initiate a classification of N = 2 supersymmetric AdS4 solutions of type IIA supergravity
Imposing as an Ansatz that the internal space is complex, we reduce the problem of finding solutions to a Riccati ordinary differential equation (ODE), which we solve analytically
Summary
As we see in the second equation of (2.1b), K is a Killing vector and is a symmetry of all fields in a solution. The supersymmetry parameters 1,2 will be sums of tensor products of spinors on AdS4 and M6. As was the case for the corresponding system of equations in type IIB supergravity [14], the system (2.14), alarmingly large, has a high degree of redundancy. The I = J components are redundant, since the I = J ones furnish two copies of the pure spinor equations [12, 13] for N = 1 AdS4 solutions.
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