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Gaugings of N = 4 three dimensional gauged supergravity with exceptional coset manifolds

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Abstract

Some admissible gauge groups of N = 4 Chern-Simons gauged supergravity in three dimensions with exceptional scalar manifolds G 2(2) /SO(4), F 4(4) /USp(6) × SU(2), E 6(2) /SU(6) × SU(2), E 7(−5) /SO(12) × SU(2) and E 8(−24) /E 7 × SU(2) are identified. In particular, a complete list of all possible gauge groups is given for the theory with G 2(2) /SO(4) coset space. We also study scalar potentials for all of these gauge groups and find some critical points. In the case of F 4(4) /USp(6) × SU(2) target space, we give some semisimple gauge groups which are maximal subgroups of F 4(4). Most importantly, we construct the SO(4) ⋉ T 6 gauged supergravity which is equivalent to N = 4 SO(4) Yang-Mills gauged supergravity. The latter is proposed to be obtained from an S 3 reduction of (1, 0) six dimensional supergravity coupled to two vector and two tensor multiplets. The scalar potential of this theory on the scalar fields which are invariant under SO(4) is explicitly computed. Depending on the value of the coupling constants, the theory admits both dS and AdS vacua when all of the 28 scalars vanish. The maximal N = 4 supersymmetric AdS 3 should correspond to the AdS 3 × S 3 solution of the (1, 0) six dimensional theory. Finally, some gauge groups of the theories with E 6(2) /SU(6) × SU(2), E 7(−5) /SO(12) × SU(2) and E 8(−24) /E 7 × SU(2) scalar manifolds are identified.

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Authors and Affiliations

  1. String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok, 10330, Thailand

    Parinya Karndumri

  2. Thailand Center of Excellence in Physics, CHE, Ministry of Education, Bangkok, 10400, Thailand

    Parinya Karndumri

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  1. Parinya Karndumri
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Correspondence to Parinya Karndumri.

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ArXiv ePrint: 1206.2150

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Karndumri, P. Gaugings of N = 4 three dimensional gauged supergravity with exceptional coset manifolds. J. High Energ. Phys. 2012, 7 (2012). https://doi.org/10.1007/JHEP08(2012)007

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