The (2, 0) superalgebra, null M-branes and Hitchin’s system

P. Kucharski; Neil Lambert; Dylan Owen

doi:10.1007/JHEP10(2017)126

The (2, 0) superalgebra, null M-branes and Hitchin’s system

P. Kucharski, Neil Lambert^*, Dylan Owen

^*Corresponding author for this work

University of Warsaw

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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Abstract

We present an interacting system of equations with sixteen supersymmetries and an SO(2) × 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×T2 or equivalently as M2-branes on ℝ₊× ℝ², where ± 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.

Original language	English
Article number	126
Journal	Journal of High Energy Physics
Volume	2017
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2017)126
Publication status	Published - 19 Oct 2017

Keywords

Extended Supersymmetry
Field Theories in Higher Dimensions
M-Theory

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The (2,0) superalgebra_KUCHARSKI_Accepted 1 Oct 17_GOLD_VoR (CC-BY)Final published version, 386 KBLicence: CC BY

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N2 - We present an interacting system of equations with sixteen supersymmetries and an SO(2) × 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×T2 or equivalently as M2-branes on ℝ+× ℝ2, where ± 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.

AB - We present an interacting system of equations with sixteen supersymmetries and an SO(2) × 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×T2 or equivalently as M2-branes on ℝ+× ℝ2, where ± 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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The (2, 0) superalgebra, null M-branes and Hitchin’s system

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Keywords

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