(2, 0) supersymmetry and the light-cone description of M5-branes

Abstract

In arXiv:1007.2982 a novel system of equations which propagate in one null and four space directions were obtained as the on-shell conditions for the six-dimensional (2, 0) superalgebra. In this paper we show how this system reduces to one-dimensional motion on instanton moduli space. Quantization leads to the previous light-cone proposal of the (2, 0) theory, generalized to include a potential that arises on the Coulomb branch as well as couplings to background gauge and self-dual two-form fields.

Bosonic symmetries of (2, 0) DLCQ field theories

“…In addition there are 6 special conformal symmetries and 1 dilatation symmetry. The bosonic symmetries are then just those of the six-dimensional conformal group SO (2,6). In total these comprise 32 fermionic and 28 bosonic symmetries.…”

“…In this paper, we examine the bosonic symmetries of this theory and find that it has additional boost-like and conformal symmetries which generate an SU(3, 1) group when combined with the other bosonic symmetries, as expected from holography. In the Ω ij → 0 limit, the theory reduces to the null reduction previously considered in [6,9] and gains two additional rotational symmetries. There is also a topological charge associated with translations along the null direction, and we show that the Noether charges associated with the new symmetries take a similar form, i.e.…”

“…It was then shown that this mechanism has a natural holographic realisation [10]. The basic idea is to consider M-theory on AdS 7 × S 4 and then write the AdS 7 factor as a timelike fibration of a non-compact complex projective spacẽ CP 3 , which breaks one quarter of the supersymmetry and the isometry group from SO (6,2) to SU(3, 1) [11]. Flowing to the boundary then gives an Ω-deformed null reduction of the (2, 0) theory with 24 superconformal symmetries and a Lifshitz scaling symmetry.…”

Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets

“…Let us finally mention other approaches towards the field equations [11,26,27] and amplitudes [28] of the (2,0) theory whose relation to the presented construction will be interesting to understand. We also want to mention possible relations two supergravity theories [30,31] The paper is organized as follows: In section 2 we discuss the geometrical background for the superconformal hypermultiplets.…”

“…Accordingly, the supersymmetry transformation rule for the 4-form potentials in presence of hypermultiplets is modified to 26) combining contributions from tensor and hypermultiplets.…”