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

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...

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Main Authors: P. Kucharski, N. Lambert, M. Owen
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)126
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author P. Kucharski
N. Lambert
M. Owen
author_facet P. Kucharski
N. Lambert
M. Owen
author_sort P. Kucharski
collection DOAJ
description 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 × T 2 $$ {S}_{-}^1\times {\mathbb{T}}^2 $$ or equivalently as M2-branes on ℝ + × ℝ 2 $$ {\mathbb{R}}_{+}\times {\mathbb{R}}^2 $$ , 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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spelling doaj.art-e9a424cd63864b6f8d26f00fc2dd63a82022-12-21T21:46:38ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171012510.1007/JHEP10(2017)126The (2, 0) superalgebra, null M-branes and Hitchin’s systemP. Kucharski0N. Lambert1M. Owen2Faculty of Physics, University of WarsawDepartment of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract 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 × T 2 $$ {S}_{-}^1\times {\mathbb{T}}^2 $$ or equivalently as M2-branes on ℝ + × ℝ 2 $$ {\mathbb{R}}_{+}\times {\mathbb{R}}^2 $$ , 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.http://link.springer.com/article/10.1007/JHEP10(2017)126Extended SupersymmetryField Theories in Higher DimensionsM-Theory
spellingShingle P. Kucharski
N. Lambert
M. Owen
The (2, 0) superalgebra, null M-branes and Hitchin’s system
Journal of High Energy Physics
Extended Supersymmetry
Field Theories in Higher Dimensions
M-Theory
title The (2, 0) superalgebra, null M-branes and Hitchin’s system
title_full The (2, 0) superalgebra, null M-branes and Hitchin’s system
title_fullStr The (2, 0) superalgebra, null M-branes and Hitchin’s system
title_full_unstemmed The (2, 0) superalgebra, null M-branes and Hitchin’s system
title_short The (2, 0) superalgebra, null M-branes and Hitchin’s system
title_sort 2 0 superalgebra null m branes and hitchin s system
topic Extended Supersymmetry
Field Theories in Higher Dimensions
M-Theory
url http://link.springer.com/article/10.1007/JHEP10(2017)126
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