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arXiv · 1706.00232

The (2,0) Superalgebra, Null M-branes and Hitchin's System

Piotr Kucharski·Neil Lambert·Miles Owen
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Abstract

We present an interacting system of equations with sixteen supersymmetries and an $SO(2)\times SO(6)$ R-symmetry where the fields depend on two space and one null dimensions that is derived from a representation of the six-dimensional (2,0) superalgebra. The system can be viewed as two M5-branes compactified on $S^1_-\times {\mathbb T}^2$ or equivalently as M2-branes on ${\mathbb R}_+\times {\mathbb R}^2$, where $\pm$ refer to null directions. We show that for a particular choice of fields the dynamics can be reduced to motion on the moduli space of solutions to the Hitchin system. We argue that this provides a description of intersecting null M2-branes and is also related by U-duality to a DLCQ description of four-dimensional maximally supersymmetric Yang-Mills.

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Piotr Kucharski, Neil Lambert, Miles Owen. 2018-08-08. The (2,0) Superalgebra, Null M-branes and Hitchin's System. https://doi.org/10.1007/jhep10(2017)126

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