Light-cone quantum mechanics of the eleven-dimensional superparticle

Green, Michael; Kwon, Hwang Hyun; Gutperle, Michael

doi:10.1088/1126-6708/1999/08/012

Cited by 57 publications

(151 citation statements)

References 30 publications

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“…computing t 8 t 8 R 4 taking only the Ricci parts in the expansion (B.6) to be non-zero. In a similar way, trace terms appear in the t 16 tensor of Green et al [78]. So far, the presence of these trace terms has not played any role in the literature because they are proportional to the equations of motion when the gauge fields are ignored.…”

Section: B2 Riemann Tensor Polynomials and The T 8 Tensormentioning

confidence: 87%

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Peeters

Vanhove

Westerberg³

2001

Class. Quantum Grav.

125

212

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Higher-derivative terms in the string and M-theory effective actions are strongly constrained by supersymmetry. Using a mixture of techniques, involving both stringamplitude calculations and an analysis of supersymmetry requirements, we determine the supersymmetric completion of the R 4 action in eleven dimensions to second order in the fermions, in a form compact enough for explicit further calculations. Using these results, we obtain the modifications to the field transformation rules and determine the resulting field-dependent modifications to the coefficients in the supersymmetry algebra. We then make the link to the superspace formulation of the theory and discuss the mechanism by which higher-derivative interactions lead to modifications to the supertorsion constraints. For the particular interactions under discussion we find that no such modifications are induced.

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Section: B2 Riemann Tensor Polynomials and The T 8 Tensormentioning

confidence: 87%

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Peeters

Vanhove

Westerberg³

2001

Class. Quantum Grav.

125

212

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“…with ε α 1 ···α 16 , as follows by inspection of the relevant vertex operators in [38,40]. Here the indices i, j, .…”

Section: Higher-order Corrections: What Is Knownmentioning

confidence: 99%

Higher-order M-theory corrections and the Kac–Moody algebra E ₁₀

Damour¹,

Nicolai²

2005

Class. Quantum Grav.

152

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It has been conjectured that the classical dynamics of M-theory is equivalent to a null geodesic motion in the infinite-dimensional coset space E 10 /K(E 10 ), where K(E 10 ) is the maximal compact subgroup of the hyperbolic Kac-Moody group E 10 . We here provide further evidence for this conjecture by showing that the leading higher-order corrections, quartic in the curvature and related 3-form-dependent terms, correspond to negative imaginary roots of E 10 . The conjecture entails certain predictions for which higher-order corrections are allowed: in particular corrections of type R M (DF ) N are compatible with E 10 only for M +N = 3k+1. Furthermore, the leading parts of the R 4 , R 7 , . . . terms are predicted to be associated with singlets under the sl 10 decomposition of E 10 . Although singlets are extremely rare among the 4400 752 653 representations of sl 10 appearing in E 10 up to level 28, there are indeed singlets at levels = 10 and = 20 which do match with the R 4 and the expected R 7 corrections. Our analysis indicates a far more complicated behaviour of the theory near the cosmological singularity than suggested by the standard homogeneous ansätze.

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“…Rather one finds that the various vectors that arise are elements of the weight lattice of E 8 . Moreover one only finds weights for the types of higher derivative terms that are expected to arise in M-theory [40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. Weights have also appeared in the higher derivative effective action in [58,59] within the context of E 10 and 'cosmological billiards' [60,61].…”

Section: ½º áòøöó ùø óòmentioning

confidence: 99%