Abstract
We construct a general class of (small) mathcal{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.
Highlights
Explicit AdS3 holographic duals to 2d (0,4) quiver gauge theories were quite rare in the literature, with known examples reducing to intersections of D1-D5 branes [12]
Upon reduction to Type IIA, we find a new class of solutions with four Poincare supercharges of the form AdS2 × S3 × CY2 × I, that we extend to the massive IIA case
The first is a new class of solutions to M-theory preserving N = (0, 4) supersymmetry, of the type AdS3× S3/Zk× CY2 foliated over an interval
Summary
Associated to the Page fluxes there is a D2-D4-D6-D8-NS5 brane system, depicted in table 1. Being the extension of the D2 and D6 branes finite in the ρ direction, the field theory living on their intersection is effectively two dimensional at low energies These quivers are rendered non-anomalous with adequate flavour groups at each node, coming from D4 and D8 branes. Let us consider the uplift to eleven dimensions of the solutions discussed in the previous section To perform this lift we need F(0) = 0, which according to (2.2) imposes the function h8 to be a constant. In the lift to eleven dimensions this number becomes a modding parameter of the geometry, associated with KK-monopole charge Once this lift is performed, we obtain a class of AdS3×S3/Zk× CY2 solutions to Mtheory foliated over an interval. In appendix B we discuss the lift to eleven dimensions of the more general backgrounds constructed in [18]
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