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$ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory
We present a formulation of the maximally supersymmetric $ \mathcal{N} $ = 4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic variables. They parametrize a two-sphere and allow...
Autores principales: | , |
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Lenguaje: | eng |
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2016
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Acceso en línea: | https://dx.doi.org/10.1007/JHEP02(2017)062 http://cds.cern.ch/record/2127244 |
_version_ | 1780949672777482240 |
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author | Chicherin, Dmitry Sokatchev, Emery |
author_facet | Chicherin, Dmitry Sokatchev, Emery |
author_sort | Chicherin, Dmitry |
collection | CERN |
description | We present a formulation of the maximally supersymmetric $ \mathcal{N} $ = 4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic variables. They parametrize a two-sphere and allow us to handle efficiently infinite towers of higher-spin auxiliary fields defined on ordinary space-time. In this approach the chiral half of $ \mathcal{N} $ =4 supersymmetry is manifest. The other half is realized non-linearly and the algebra closes on shell. We give a straightforward derivation of the Feynman rules in coordinate space. We show that the LHC formulation of the $ \mathcal{N} $ = 4 super-Yang-Mills theory is remarkably similar to the harmonic superspace formulation of the $ \mathcal{N} $ = 2 gauge and hypermultiplet matter theories. In the twin paper arXiv:1601.06804 we apply the LHC formalism to the study of the non-chiral multipoint correlation functions of the $ \mathcal{N} $ = 4 stress-tensor supermultiplet. |
id | cern-2127244 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2016 |
record_format | invenio |
spelling | cern-21272442023-10-04T07:45:27Zdoi:10.1007/JHEP02(2017)062http://cds.cern.ch/record/2127244engChicherin, DmitrySokatchev, Emery$ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theoryhep-thParticle Physics - TheoryWe present a formulation of the maximally supersymmetric $ \mathcal{N} $ = 4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic variables. They parametrize a two-sphere and allow us to handle efficiently infinite towers of higher-spin auxiliary fields defined on ordinary space-time. In this approach the chiral half of $ \mathcal{N} $ =4 supersymmetry is manifest. The other half is realized non-linearly and the algebra closes on shell. We give a straightforward derivation of the Feynman rules in coordinate space. We show that the LHC formulation of the $ \mathcal{N} $ = 4 super-Yang-Mills theory is remarkably similar to the harmonic superspace formulation of the $ \mathcal{N} $ = 2 gauge and hypermultiplet matter theories. In the twin paper arXiv:1601.06804 we apply the LHC formalism to the study of the non-chiral multipoint correlation functions of the $ \mathcal{N} $ = 4 stress-tensor supermultiplet.We present a formulation of the maximally supersymmetric N=4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic variables. They parametrize a two-sphere and allow us to handle efficiently infinite towers of higher-spin auxiliary fields defined on ordinary space-time. In this approach the chiral half of N=4 supersymmetry is manifest. The other half is realized non-linearly and the algebra closes on shell. We give a straightforward derivation of the Feynman rules in coordinate space. We show that the LHC formulation of the N=4 super-Yang-Mills theory is remarkably similar to the harmonic superspace formulation of the N=2 gauge and hypermultiplet matter theories. In the twin paper arXiv:1601.06804 we apply the LHC formalism to the study of the non-chiral multipoint correlation functions of the N=4 stress-tensor supermultiplet.arXiv:1601.06803CERN-TH-2016-018oai:cds.cern.ch:21272442016-01-25 |
spellingShingle | hep-th Particle Physics - Theory Chicherin, Dmitry Sokatchev, Emery $ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory |
title | $ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory |
title_full | $ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory |
title_fullStr | $ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory |
title_full_unstemmed | $ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory |
title_short | $ \mathcal{N} $ = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory |
title_sort | $ \mathcal{n} $ = 4 super-yang-mills in lhc superspace part i: classical and quantum theory |
topic | hep-th Particle Physics - Theory |
url | https://dx.doi.org/10.1007/JHEP02(2017)062 http://cds.cern.ch/record/2127244 |
work_keys_str_mv | AT chicherindmitry mathcaln4superyangmillsinlhcsuperspaceparticlassicalandquantumtheory AT sokatchevemery mathcaln4superyangmillsinlhcsuperspaceparticlassicalandquantumtheory |