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Light-cone auxiliary fields for ten-dimensional super Yang-Mills
Institution:1. The Key Laboratory of Industrial Biotechnology, Ministry of Education, School of Biotechnology, Jiangnan University, Wuxi, Jiangsu 214122, China;2. Yixing Institute of Food and Biotechnology Co., Ltd, Yixing 214200, China;1. Instituto Politécnico Nacional. CIIDIR Unidad Oaxaca, Hornos 1003, CP. 71230 Oaxaca, Mexico;2. Tecnológico Nacional de México/Instituto Tecnológico de Oaxaca, CP. 68030 Oaxaca, Mexico;3. Consejo Nacional de Ciencia y Tecnología, Hornos 1003 Colonia Noche Buena, 71230, Santa Cruz Xoxocotlán, Oaxaca, Mexico;4. University of Tunis El Manar, Faculté des Sciences de Tunis, Laboratoire d’Energétique et des Transferts Thermique et Massique (LETTM), University Campus, 2092 El Manar II, Tunis, Tunisia;1. Shenyang Academy of Environmental Sciences, China;2. Center for Environmental Remediation, Institute of Geographical Sciences and Natural Resources, Chinese Academy of Sciences, Beijing 100101, China;3. School of Water Resources and Environment, China University of Geosciences, Beijing 100083, China
Abstract:We consider ten-dimensional super Yang-Mills in the light-cone gauge and define a set of auxiliary fields which close the light-cone super algebra off-shell. As a necessary preliminary we give a systematic discussion of the auxiliary field problem for simple super Yang-Mills in dimensions 3, 4, 6 and 10 both covariantly and in the light-cone framework. The motivation for this work is that it may prove useful in conjunction with the ideas of harmonic superspace. With this in mind we indicate how the light-cone theory in ten dimensions can be formulated in light-cone superspace using unconstrained superfields.
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