TY - JOUR AU - Samtleben, Henning AU - Weidner, Martin TI - The Maximal D=7 supergravities JO - Nuclear physics / B VL - 725 IS - 1-2 SN - 0550-3213 CY - Amsterdam PB - North-Holland Publ. Co. M1 - PUBDB-2017-07266 M1 - hep-th/0506237 M1 - DESY-05-101 M1 - ZMP-HH-05-10 SP - 383 - 419 PY - 2005 N1 - Forschung Hochenergiephysik; Theorie AB - The general seven-dimensional maximal supergravity is presented. Its universal Lagrangian is described in terms of an embedding tensor which can be characterized group-theoretically. The theory generically combines vector, two-form and three-form tensor fields that transform into each other under an intricate set of non-Abelian gauge transformations. The embedding tensor encodes the proper distribution of the degrees of freedom among these fields. In addition to the kinetic terms the vector and tensor fields contribute to the Lagrangian with a unique gauge-invariant Chern–Simons term. This new formulation encompasses all possible gaugings. Examples include the sphere reductions of M-theory and of the type IIA/IIB theories with gauge groups SO ( 5 ) , CSO ( 4 , 1 ) , and SO ( 4 ) , respectively. KW - supergravity (INSPIRE) KW - dimension: 7 (INSPIRE) KW - field theory: action (INSPIRE) KW - group theory (INSPIRE) KW - field theory: vector (INSPIRE) KW - field theory: tensor (INSPIRE) KW - coset space: SL(5)/SO(5) (INSPIRE) KW - gauge field theory (INSPIRE) KW - particle: multiplet (INSPIRE) LB - PUB:(DE-HGF)29 ; PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:000232016600016 DO - DOI:10.1016/j.nuclphysb.2005.07.028 UR - https://bib-pubdb1.desy.de/record/330818 ER -