M -strings and AdS3 solutions to M-theory with small N = (0, 4) supersymmetry

Abstract

We construct a general class of (small) N = (0, 4) superconformal solutions in M-theory of the form AdS3× S3/ℤk× CY2, foliated over an interval. These solutions describe M-strings in M5-brane intersections. The M -strings support (0, 4) quiver CFTs that are in correspondence with our backgrounds. We compute the central charge and show that it scales linearly with the total number of M -strings. We introduce momentum charge, thus allowing for a description in terms of M(atrix) theory. Upon reduction to Type IIA, we find a new class of solutions with four Poincaré supercharges of the form AdS2× S3× CY2× ℐ , that we extend to the massive IIA case. We generalise our constructions to provide a complete class of AdS3 solutions to M-theory with (0,4) supersymmetry and SU(2) structure. We also construct new AdS2× S3× M4× ℐ solutions to massive IIA, with M4 a 4d Kähler manifold and four Poincaré supercharges.