BPS and non BPS 7 D Black Attractors in M - Theory on K 3

We study the BPS and non BPS black attractors in 7D N = 2 supergravity embedded in 11D M-theory compactified on K3. Combining Kahler and complex moduli in terms of SO (3) representations, we build the Dalbeault like (DL) basis for the second cohomology of K3 and set up the fundamental relations of the special ”hyperKahler” geometry of the underlying moduli space of the 7D theory. We study the attractor eqs of the 7D black branes by using the method of the criticality of the effective potential and also by using the extension of the so called 4D new attractor approach to 7D N = 2 supergravity. A comment, regarding a 6D/7D correspondence, along the line of Ceresole-Ferrara-Marrani used for 4D/5D [69], is made.