TY - JOUR
T1 - On the magical supergravities in six dimensions
AU - Günaydin, M.
AU - Samtleben, H.
AU - Sezgin, E.
N1 - Funding Information:
We wish to thank E. Bergshoeff for useful discussions. We thank each otherʼs home institutions for hospitality during this work. The work of M.G. was supported in part by the National Science Foundation under grant numbered PHY-0855356 . Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The work of H.S. is supported in part by the Agence Nationale de la Recherche (ANR) . The research of E.S. is supported in part by NSF grants PHY-0555575 and PHY-0906222 .
PY - 2011/7/1
Y1 - 2011/7/1
N2 - Magical supergravities are a very special class of supergravity theories whose symmetries and matter content in various dimensions correspond to symmetries and underlying algebraic structures of the remarkable geometries of the Magic Square of Freudenthal, Rozenfeld and Tits. These symmetry groups include the exceptional groups and some of their special subgroups. In this paper, we study the general gaugings of these theories in six dimensions which lead to new couplings between vector and tensor fields. We show that in the absence of hypermultiplet couplings the gauge group is uniquely determined by a maximal set of commuting translations within the isometry group SO(nT,1) of the tensor multiplet sector. Moreover, we find that in general the gauge algebra allows for central charges that may have nontrivial action on the hypermultiplet scalars. We determine the new minimal couplings, Yukawa couplings and the scalar potential.
AB - Magical supergravities are a very special class of supergravity theories whose symmetries and matter content in various dimensions correspond to symmetries and underlying algebraic structures of the remarkable geometries of the Magic Square of Freudenthal, Rozenfeld and Tits. These symmetry groups include the exceptional groups and some of their special subgroups. In this paper, we study the general gaugings of these theories in six dimensions which lead to new couplings between vector and tensor fields. We show that in the absence of hypermultiplet couplings the gauge group is uniquely determined by a maximal set of commuting translations within the isometry group SO(nT,1) of the tensor multiplet sector. Moreover, we find that in general the gauge algebra allows for central charges that may have nontrivial action on the hypermultiplet scalars. We determine the new minimal couplings, Yukawa couplings and the scalar potential.
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U2 - 10.1016/j.nuclphysb.2011.02.010
DO - 10.1016/j.nuclphysb.2011.02.010
M3 - Article
AN - SCOPUS:79953064627
SN - 0550-3213
VL - 848
SP - 62
EP - 89
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1
ER -