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Título

Tensor hierarchies of 5- and 6-dimensional field theories

AutorHartong, Jelle ; Ortín Miguel, Tomás
Palabras claveField Theories in Higher Dimensions
Gauge Symmetry
Supergravity Models
Fecha de publicación7-sep-2009
EditorInternational School for Advanced Studies
Institute of Physics Publishing
CitaciónJournal of High Energy Physics 9: 039 (2009)
JHEP09(2009)039
ResumenWe construct the tensor hierarchies of generic, bosonic, 5- and 6-dimensional field theories. The construction of the tensor hierarchy starts with the introduction of two tensors: the embedding tensor φ which tells us which vector is used for gauging and another tensor Z which tells us which vector is eaten by a 2-form. In dimensions d ≥ 5 these two (deformation) tensors are in principle unrelated. Besides φ and Z there can be further deformation tensors describing other couplings unrelated to (but compatible with) gauge symmetry. For each deformation tensor there appears a (d−1)-form potential and for each constraint satisfied by the deformation tensors there appears a d-form potential in the tensor hierarchy. For each symmetry of the undeformed theory there is an associated (d−2)-form appearing in the tensor hierarchy. Our methods easily generalize to arbitrary dimensions and we present a general construction for the d-, (d−1)- and (d−2)-form potentials for a tensor hierarchy in d dimensions.
Descripción41 pages, 2 tables, 3 appendices.-- ArXiv pre-print available at: http://arxiv.org/abs/0906.4043
Versión del editorhttp://dx.doi.org/10.1088/1126-6708/2009/09/039
URIhttp://hdl.handle.net/10261/17820
DOI10.1088/1126-6708/2009/09/039
ISSN1126-6708 (Print)
1029-8479 (Online)
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