Superstrings and supermembranes in the doubly supersymmetric geometrical approach

Bandos, Igor A.; Pasti, P.; Sorokin, Dmitri; Tonin, M.; Volkov, D. V.

doi:10.1016/0550-3213(95)00267-v

Cited by 128 publications

(409 citation statements)

References 115 publications

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“…It would also be interesting to apply this geometrical approach to supersymmetric branes [41]. While the geometry of such objects is well understood, to our knowledge, the geometry of deformations of superembedded surfaces remains to be developed.…”

Section: Discussionmentioning

confidence: 99%

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Noether Currents for Bosonic Branes

2000

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We consider a relativistic brane propagating in Minkowski spacetime described by any action which is local in its worldvolume geometry. We examine the conservation laws associated with the Poincaré symmetry of the background from a worldvolume geometrical point of the view. These laws are exploited to explore the structure of the equations of motion. General expressions are provided for both the linear and angular momentum for any action depending on the worldvolume extrinsic curvature. The conservation laws are examined in perturbation theory. It is shown how nontrivial solutions with vanishing energy-momentum can be constructed in higher order theories. Finally, subtleties associated with boundary terms are examined in the context of the brane Einstein-Hilbert action.

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Section: Discussionmentioning

confidence: 99%

“…where we exploit the Gauss-Weingarten equation (41) to simplify the first term. We thus have from Eq.…”

Section: Extrinsic Curvature Actionsmentioning

confidence: 99%

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Noether Currents for Bosonic Branes

2000

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“…A group-theoretical and geometrical reason why in the cases considered in this paper the κ-symmetry allows one to eliminate η(ξ) and not θ(ξ) is that θ(ξ) are worldvolume Goldstone fields of spontaneously broken special conformal supersymmetry in the bulk, while η correspond to unbroken worldvolume supersymmetry which in the superembedding approach to describing superbranes has been known to be an irreducible realization of the κ-symmetry [25,26,27] (for recent reviews see [28]). In this approach η can be identified with Grassmann coordinates which parametrize worldvolume supersurface embedded into target superspace.…”

Section: Discussionmentioning

confidence: 99%

On gauge-fixed superbrane actions in AdS superbackgrounds

1999

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To construct actions for describing superbranes propagating in AdS ×S superbackgrounds we propose a coset space realization of these superbackgrounds which results in a short polynomial fermionic dependence (up to the sixth power in Grassmann coordinates) of target superspace supervielbeins and superconnections. Gauge fixing κ-symmetry in a way compatible with a static brane solution further reduces the fermionic dependence down to the fourth power. Subtleties of consistent gauge fixing worldvolume diffeomorphisms and κ-symmetry of the superbrane actions are discussed.

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“…In this paper we shall show that analogously to the result presented in [17] one can introduce in two-twistor target space the purely twistorial membrane action. In the intermediate spinor-space-time formulation with fundamental Lorentz spinors and space-time coordinates we shall get the membrane action which can be also linked with the p-brane description in the framework of spinorial harmonics ( [19]; see also [20,21]). It should be added that the presence of cosmological term in Polyakov type action for membrane permits to obtain the purely twistorial model without the use of gauge fixing procedure, which was a necessary step in string case [17].…”

Section: Introductionmentioning

confidence: 99%

Two-twistor description of a membrane

Fedoruk¹,

Lukierski

2007

Phys. Rev. D

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We describe D = 4 twistorial membrane in terms of two twistorial three-dimensional world-volume fields. We start with the D-dimensional p-brane generalizations of two phase space string formulations: the one with p + 1 vectorial fourmomenta, and the second with tensorial momenta of (p + 1)-th rank. Further we consider tensionful membrane case in D = 4. By using the membrane generalization of Cartan-Penrose formula we express the fourmomenta by spinorial fields and obtain the intermediate spinor-space-time formulation. Further by expressing the world-volume dreibein and the membrane space-time coordinate fields in terms of two twistor fields one obtains the purely twistorial formulation. It appears that the action is generated by a geometric three-form on twotwistor space. Finally we comment on higher-dimensional (D > 4) twistorial p-brane models and their superextensions.

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Superstrings and supermembranes in the doubly supersymmetric geometrical approach

Cited by 128 publications

References 115 publications

Noether Currents for Bosonic Branes

Noether Currents for Bosonic Branes

On gauge-fixed superbrane actions in AdS superbackgrounds

Two-twistor description of a membrane

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