On the Unitarity of D = 9, 10, 11 Conformal Supersymmetry

Dobrev, V. K.; Miteva, Antonia Mitkova; Zhang, Ruibin; Zlatev, B. S.

doi:10.1007/s10582-004-9786-y

Cited by 5 publications

(3 citation statements)

References 11 publications

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“…This novel graviton supermultiplet is to transform in representation of orthosymplectic superalgebra osp(32,1). Recent interesting discussion of unitary representations of osp(32, 1) superalgebra and gravity theories based on such superalgebra may be found in[61] and[62,63] respectively.…”

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confidence: 99%

Eleven dimensional supergravity in light cone gauge

Metsaev

2005

Phys. Rev. D

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Light-cone gauge manifestly supersymmetric formulation of eleven dimensional supergravity is developed. The formulation is given entirely in terms of light cone scalar superfield, allowing us to treat all component fields on an equal footing. All higher derivative on mass shell manifestly supersymmetric 4-point functions invariant with respect to linear supersymmetry transformations and corresponding (in gravitational bosonic sector) to terms constructed from four Riemann tensors and derivatives are found. Superspace representation for 4-point scattering amplitudes is also obtained. Superfield representation of linearized interaction vertex of superparticle and supergravity fields is presented. All 4-point higher derivative interaction vertices of ten-dimensional supersymmetric Yang-Mills theory are also determined.

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confidence: 99%

Eleven dimensional supergravity in light cone gauge

Metsaev

2005

Phys. Rev. D

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“…Similar explicit descriptions can be easily achieved for the other non-compact groups with lowest/highest weight representations. We plan also to extend these considerations [37] to the supersymmetric cases using precious results on the classification of positive energy irreps in various dimensions [38], [39], [40], [41], and also to the quantum group setting using [42]. Such considerations are expected to be very useful for applications to string theory and integrable models, cf., e.g., [43].…”

Section: Discussionmentioning

confidence: 99%

Positive energy representations, holomorphic discrete series and finite-dimensional irreps

Dobrev¹

2008

J. Phys. A: Math. Theor.

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Let G be a semi-simple non-compact Lie group with unitary lowest/highest weight representations. We consider explicitly the relation between three types of representations of G: positive energy (unitary lowest weight) representations, (holomorphic) discrete series representations and non-unitary finite-dimensional irreps. We consider mainly the conformal groups SO o (n, 2) treating in full detail the cases n = 1, 3, 4.1 Permanent address.

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“…We shall follow a procedure in representation theory in which such operators appear canonically [24] and which has been generalized to the supersymmetry setting [42] and to quantum groups [43]. We should also mention that this setting is most appropriate for the classification of unitary representations of superconformal symmetry in various dimensions, [44], [45], [46], [47], for generalization to the infinite-dimensional setting [48], and is also an ingredient in the AdS/CFT correspondence, cf. [49].…”

Section: Introductionmentioning

confidence: 99%

Invariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras

Dobrev

2008

Rev. Math. Phys.

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In the present paper we start the systematic explicit construction of invariant differential operators by giving explicit description of one of the main ingredients -the cuspidal parabolic subalgebras. We explicate also the maximal parabolic subalgebras, since these are also important even when they are not cuspidal. Our approach is easily generalised to the supersymmetric and quantum group settings and is necessary for applications to string theory and integrable models.

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On the Unitarity of D = 9, 10, 11 Conformal Supersymmetry

Abstract: We consider the unitarity of D = 9, 10, 11 conformal supersymmetry using the recently established classification of the UIRs of the superalgebras osp(1|2n, R).

Cited by 5 publications

References 11 publications

Eleven dimensional supergravity in light cone gauge

Eleven dimensional supergravity in light cone gauge

Positive energy representations, holomorphic discrete series and finite-dimensional irreps

Invariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras

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