M -strings and AdS3 solutions to M-theory with small N $$ \mathcal{N} $$ = (0, 4) supersymmetry

Abstract

Abstract We construct a general class of (small) N $$ \mathcal{N} $$ = (0, 4) superconformal solutions in M-theory of the form AdS3 × S 3/ℤ k × 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 × S 3 × 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 × S 3 × M4 × ℐ solutions to massive IIA, with M4 a 4d Kähler manifold and four Poincaré supercharges.

Keywords

• AdS-CFT Correspondence
• M-Theory