Wess-Zumino term for AdS superstring

Hatsuda, Machiko; Sakaguchi, Makoto

doi:10.1103/physrevd.66.045020

Cited by 29 publications

(37 citation statements)

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“…The anti-commutator between two of supercharges are examined in [11] for a matrix theory on the eleven-dimensional pp-wave and in [12] for a superstring action on the AdS 5 × S 5 background, and are shown to include brane charges. However, the full supersymmetry 1 Superalgebras with a larger number of supercharges than 32 have been discussed in [3].…”

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confidence: 99%

osp(1|32) and extensions of super-AdS5×S5 algebra

Kamimura

Sakaguchi

2003

Nuclear Physics B

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The super-AdS 5 ×S 5 and the four-dimensional N =4 superconformal algebras play important roles in superstring theories. It is often discussed the roles of the osp(1|32) algebra as a maximal extension of the superalgebras in flat background. In this paper we show that the su(2,2|4), the super-AdS 5 × S 5 algebra or the superconformal algebra, is not a restriction of the osp(1|32) though the bosonic part of the former is a subgroup of the latter. There exist only two types of u(1) extension of the super-AdS 5 ×S 5 algebra if the bosonic AdS 5 ×S 5 covariance is imposed. Possible significance of the results is also discussed briefly.

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confidence: 99%

osp(1|32) and extensions of super-AdS5×S5 algebra

Kamimura

Sakaguchi

2003

Nuclear Physics B

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“…In particular, we have to use the matrix supersymmetry parameter L from a fermionic coset of the original superalgebra, such that it is valued in the perpendicular space, instead of the standard Grassmann parameter − in (11).…”

Section: Discussionmentioning

confidence: 99%

HIDDEN SUPERSYMMETRY IN POHLMEYER-REDUCED FORM OF AdS_n × Sⁿ SUPERSTRINGS

Goykhman

Ivanov²

2012

Int. J. Mod. Phys. Conf. Ser.

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We review how the AdS 2 × S 2 , AdS 3 × S 3 and AdS 5 × S 5 superstring theories in the Pohlmeyer-reduced form exhibit hidden N = (2, 2) , N = (4, 4) and N = (8, 8) worldsheet supersymmetries, with emphasis on the last two cases. Their characteristic feature is the presence of non-local terms in the supersymmetry transformations.Keywords: Superstrings; supersymmetry, Pohlmeyer reduction.PACS numbers: 11.30. Pb, To the bright memory of Julius Wess Pohlmeyer ReductionThe original idea of the Pohlmeyer reduction (PR) 1 (see also Refs. 2, 3) was to reformulate the given 2d sigma model in terms of currents, rather than the target space parameters, through a non-local change of variables. The following equivalences with 2d integrable models were revealed in this way:The PR procedure preserves 2d Lorentz symmetry and integrability. It deals with the minimal set of fields, one field being always eliminated by fixing the classical 2d conformal invariance of the original sigma model. These equivalences are broken at the quantum level, where classical 2d conformal invariance is plagued by UV-divergences. Nevertheless, the similar equivalences can

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“…Taking the variations of X's in the action S, we obtain classical equations of * The covariant approach is also discussed in Ref. [17]. † Other several interesting solutions have been reported in [18], though we will not consider them in this paper.…”

Section: Classical Solutions Of Bmn Matrix Modelmentioning

confidence: 99%

Giant graviton and quantum stability in the matrix model on app-wave background

Sugiyama

Yoshida

2002

Phys. Rev. D

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We study classical solutions in Berenstein-Maldacena-Nastase (BMN) matrix model. A supersymmetric (1/2 BPS) fuzzy sphere is one of the classical solutions and corresponds to a giant graviton. We also consider other classical solutions, such as non-supersymmetric fuzzy sphere and harmonic oscillating gravitons. Some properties of oscillating gravitons are discussed. In particular, oscillating gravitons turn into usual supergravitons in the limit µ → 0. Moreover, we calculate the one-loop effective action around the supersymmetric fuzzy sphere by the use of the background field method and show the quantum stability of the giant graviton. Also, the instability of the non-supersymmetric fuzzy sphere is proven.

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Wess-Zumino term for AdS superstring

Cited by 29 publications

References 29 publications

osp(1|32) and extensions of super-AdS5×S5 algebra

osp(1|32) and extensions of super-AdS5×S5 algebra

HIDDEN SUPERSYMMETRY IN POHLMEYER-REDUCED FORM OF AdS_n × Sⁿ SUPERSTRINGS

Giant graviton and quantum stability in the matrix model on app-wave background

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Wess-Zumino term for AdS superstring

Cited by 29 publications

References 29 publications

osp(1|32) and extensions of super-AdS5×S5 algebra

osp(1|32) and extensions of super-AdS5×S5 algebra

HIDDEN SUPERSYMMETRY IN POHLMEYER-REDUCED FORM OF AdSn × Sn SUPERSTRINGS

Giant graviton and quantum stability in the matrix model on app-wave background

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HIDDEN SUPERSYMMETRY IN POHLMEYER-REDUCED FORM OF AdS_n × Sⁿ SUPERSTRINGS