N = 3 and N = 1 supersymmetry in a new class of solutions for d = 11 supergravity

L. Castellani; L. J. Romans

doi:10.1016/0550-3213(84)90343-2

N = 3 and N = 1 supersymmetry in a new class of solutions for d = 11 supergravity

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Abstract

We present a new class of compactifying solutions for d = 11 supergravity. The internal 7-spaces are described by coset manifolds N^pqr of the form SU(3) × U(1)/U(1) × U(1). The three integers p, q, r characterize the embedding of the stability subgroup U(1) × U(1) in SU(3) × U(1). Their supersymmetry content is quite remarkable. For a particular choice of p, q, r the isometry of N^pqr is SU(3) × SU(2): in this case we find that N = 3 supersymmetry survives. For all the other values of p, q, r, supersymmetry is broken to N = 1, and the isometry group is SU(3) × U(1). We also find a class of solutions with internal photon curl F_αβγδ ≠ 0, breaking all supersymmetries.

Original language	English
Pages (from-to)	683-701
Number of pages	19
Journal	Nuclear Physics B
Volume	238
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(84)90343-2
Publication status	Published - 18 Jun 1984
Externally published	Yes

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title = "N = 3 and N = 1 supersymmetry in a new class of solutions for d = 11 supergravity",

abstract = "We present a new class of compactifying solutions for d = 11 supergravity. The internal 7-spaces are described by coset manifolds Npqr of the form SU(3) × U(1)/U(1) × U(1). The three integers p, q, r characterize the embedding of the stability subgroup U(1) × U(1) in SU(3) × U(1). Their supersymmetry content is quite remarkable. For a particular choice of p, q, r the isometry of Npqr is SU(3) × SU(2): in this case we find that N = 3 supersymmetry survives. For all the other values of p, q, r, supersymmetry is broken to N = 1, and the isometry group is SU(3) × U(1). We also find a class of solutions with internal photon curl Fαβγδ ≠ 0, breaking all supersymmetries.",

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T1 - N = 3 and N = 1 supersymmetry in a new class of solutions for d = 11 supergravity

AU - Castellani, L.

AU - Romans, L. J.

PY - 1984/6/18

Y1 - 1984/6/18

N2 - We present a new class of compactifying solutions for d = 11 supergravity. The internal 7-spaces are described by coset manifolds Npqr of the form SU(3) × U(1)/U(1) × U(1). The three integers p, q, r characterize the embedding of the stability subgroup U(1) × U(1) in SU(3) × U(1). Their supersymmetry content is quite remarkable. For a particular choice of p, q, r the isometry of Npqr is SU(3) × SU(2): in this case we find that N = 3 supersymmetry survives. For all the other values of p, q, r, supersymmetry is broken to N = 1, and the isometry group is SU(3) × U(1). We also find a class of solutions with internal photon curl Fαβγδ ≠ 0, breaking all supersymmetries.

AB - We present a new class of compactifying solutions for d = 11 supergravity. The internal 7-spaces are described by coset manifolds Npqr of the form SU(3) × U(1)/U(1) × U(1). The three integers p, q, r characterize the embedding of the stability subgroup U(1) × U(1) in SU(3) × U(1). Their supersymmetry content is quite remarkable. For a particular choice of p, q, r the isometry of Npqr is SU(3) × SU(2): in this case we find that N = 3 supersymmetry survives. For all the other values of p, q, r, supersymmetry is broken to N = 1, and the isometry group is SU(3) × U(1). We also find a class of solutions with internal photon curl Fαβγδ ≠ 0, breaking all supersymmetries.

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DO - 10.1016/0550-3213(84)90343-2

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SP - 683

EP - 701

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

N = 3 and N = 1 supersymmetry in a new class of solutions for d = 11 supergravity

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