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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Format: | Article |
Language: | English |
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SpringerOpen
2017-10-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-17T13:29:19Z |
format | Article |
id | doaj.art-e9a424cd63864b6f8d26f00fc2dd63a8 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-17T13:29:19Z |
publishDate | 2017-10-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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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