Superconformal M2-branes and generalized Jordan triple systems

Nilsson, Bengt E. W.; Palmkvist, Jakob

doi:10.1088/0264-9381/26/7/075007

Cited by 17 publications

(33 citation statements)

References 59 publications

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“…As an aside, we mention that (U n+1 ) −1 with the triple product (3.32) is a generalized Jordan triple system, like the three-algebras considered in for example [25][26][27]. However the triple system (U n+1 ) −1 is not an N = 6 three-algebra since the triple product is not antisymmetric,…”

Section: Corollary 3 For Any Integermentioning

confidence: 98%

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Tensor hierarchies, Borcherds algebras and E 11

Palmkvist

2012

J. High Energ. Phys.

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Gauge deformations of maximal supergravity in D = 11 − n dimensions generically give rise to a tensor hierarchy of p-form fields that transform in specific representations of the global symmetry group E n . We derive the formulas defining the hierarchy from a Borcherds superalgebra corresponding to E n . This explains why the E n representations in the tensor hierarchies also appear in the level decomposition of the Borcherds superalgebra. We show that the indefinite Kac-Moody algebra E 11 can be used equivalently to determine these representations, up to p = D, and for arbitrarily large p if E 11 is replaced by E r with sufficiently large rank r. * Also affiliated to:

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Section: Corollary 3 For Any Integermentioning

confidence: 98%

“…The identity (3.24) follows directly from (3.17), whereas the Jacobi identity gives (3.26) and 27) using (3.15) and (3.24).…”

Section: Corollary 3 For Any Integermentioning

confidence: 99%

Tensor hierarchies, Borcherds algebras and E 11

Palmkvist

2012

J. High Energ. Phys.

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“…Replacing it with a generalization corresponding to (2.4) gives a Kantor triple system, and removing it gives a generalized Jordan triple system. It was first noted in [20] that an N = 6 three-algebra in fact is a generalized Jordan triple system.…”

Section: Three-algebrasmentioning

confidence: 99%

“…If needed, anti-linearity can always be restored by the insertion of a conjugation in the triple product and the inner product, as explained in [21]. A difference compared to [8,12,13] is the order of the arguments in the triple product, which follows [15,20,21]. We will see the reason for this soon.…”

Section: Three-algebrasmentioning

confidence: 99%

Unifying $ \mathcal{N} = 5 $ and $ \mathcal{N} = 6 $

Palmkvist

2011

J. High Energ. Phys.

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We write the Lagrangian of the general N = 5 three-dimensional superconformal Chern-Simons theory, based on a basic Lie superalgebra, in terms of our recently introduced N = 5 three-algebras. These include N = 6 and N = 8 three-algebras as special cases. When we impose an antisymmetry condition on the triple product, the supersymmetry automatically enhances, and the N = 5 Lagrangian reduces to that of the well known N = 6 theory, including the ABJM and ABJ models.arXiv:1103.4860v2 [hep-th]

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“…[7][8][9]. Various aspects and variants of the BLG theory have been considered [10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Some BPS configurations of the BLG theory

2011

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We obtain BPS configurations of the BLG theory and its variant including mass terms for scalars and fermions in addition to a background field with different world-volume and R-symmetries. Three cases are considered, with world-volume symmetries SO(1, 1) and SO(2) and preserving different amounts of supersymmetry. In the former case we obtain a singular configuration preserving N = (3, 3) supersymmetry and an one-quarter BPS configuration corresponding to intersecting M2-M5-M5-branes. In the latter instance the BPS equations are reduced to those in the self-dual Chern-Simons theory with two complex scalars. In want of an exact solution, we find a topological vortex solution numerically in this case. Other solutions are given by combinations of domain walls.

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Superconformal M2-branes and generalized Jordan triple systems

Cited by 17 publications

References 59 publications

Tensor hierarchies, Borcherds algebras and E 11

Tensor hierarchies, Borcherds algebras and E 11

Unifying $ \mathcal{N} = 5 $ and $ \mathcal{N} = 6 $

Some BPS configurations of the BLG theory

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