BPS States in M Theory and Twistorial Constituents

Bandos, Igor A.; Azcárraga, J. A. de; Izquierdo, José M.; Lukierski, J.

doi:10.1103/physrevlett.86.4451

Cited by 70 publications

(190 citation statements)

References 30 publications

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“…All other representatives of the familỹ E(s) are equivalent, although they are not isomorphic. Their significance might be related to the fact that the field B a 1 ...a 5 is also needed for a coupling to BPS preons [12,11], the hypothetical basic constituents of M-theory. The presence of a full family of superalgebras E(s = 0) -rather than a unique one-trivializing the standard E (11|32) algebra four-cocycle ω 4 , suggests that the obtained underlying gauge symmetries of D = 11 supergravity may be incomplete (this is almost certainly the case if one considers the symmetries of M-theory).…”

Section: Discussionmentioning

confidence: 99%

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Superbranes, D = 11 CJS Supergravity and Enlarged Superspace Coordinates/Fields Correspondence

Azcárraga

2005

AIP Conference Proceedings

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We discuss the rôle of enlarged superspaces in two seemingly different contexts, the structure of the p-brane actions and that of the Cremmer-Julia-Scherk elevendimensional supergravity. Both provide examples of a common principle: the existence of an enlarged superspaces coordinates/fields correspondence by which all the (worldvolume or spacetime) fields of the theory are associated to coordinates of enlarged superspaces. In the context of p-branes, enlarged superspaces may be used to construct manifestly supersymmetry-invariant Wess-Zumino terms and as a way of expressing the Born-Infeld worldvolume fields of D-branes and the worldvolume M5-brane two-form in terms of fields associated to the coordinates of these enlarged superspaces. This is tantamount to saying that the Born-Infeld fields have a superspace origin, as do the other worldvolume fields, and that they have a composite structure. In D=11 supergravity theory enlarged superspaces arise when its underlying gauge structure is investigated and, as a result, the composite nature of the A 3 field is revealed: there is a full one-parametric family of enlarged superspace groups that solve the problem of expressing A 3 in terms of spacetime fields associated to their coordinates. The corresponding enlarged supersymmetry algebras turn out to be deformations of an expansion of the osp(1|32) algebra. The unifying mathematical structure underlying all these facts is the cohomology of the supersymmetry algebras involved.

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Section: Discussionmentioning

confidence: 99%

“…This last one is the automorphism group of the M-algebra {Q α , Q β } = P αβ ; it is also a manifest symmetry of the actions [10,11] for BPS preons [12] (see [13] for a review), the hypothetical constituents of M-theory. Clearly, in D = 11 supergravity one may see only a fraction of the M-theory symmetries.…”

Section: Introductionmentioning

confidence: 99%

Superbranes, D = 11 CJS Supergravity and Enlarged Superspace Coordinates/Fields Correspondence

Azcárraga

2005

AIP Conference Proceedings

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“…Moreover, it has provided the first example of a dynamical BPS system preserving more than half of the bulk supersymmetries. BPS states preserving 2n−1 2n supersymmetries (with n = 16 for D = 10, 11) were then shown to be building blocks of any BPS states, and this led to a natural conjecture that they can be elementary constituents or "preons" of M-theory [65].…”

Section: Particles In Hyperspacesmentioning

confidence: 99%

“…The latter can be taken in the GL-flat realization as in (49). The dynamics of particles on the OSp(N|n) supergroup manifolds was considered for N = 1 in [8,10,66] and for generic values of N in [4,5], and, as we have already mentioned, the twistor-like superparticle in the n = 32 super-hyperspace was considered in [67] as a point-like model for BPS preons [65], the hypothetical 31 32 -supersymmetric constituents of M-theory. The action (65) is manifestly invariant under global GL(n) transformations and implicitly invariant under global Sp(2n) transformations, acting linearly on λ ρ and non-linearly on X ρν .…”

Section: Particles In Hyperspacesmentioning

confidence: 99%

Higher Spin Fields in Hyperspace. A Review

Sorokin

Tsulaia

2018

Universe

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“…The supergroup OSp(1|64) is motivated by other considerations as well [20][21] [22]. In other approaches to twistors in D=11 [23] [24], twistors in the fundamental representation of OSp(1|64) were used in [24] for the formulation of a superstring action in an extended D=11 superspace.…”

Section: Its Two Supercharges Satisfymentioning

confidence: 99%

Twistor transform inddimensions and a unifying role for twistors

Bars

Picón

2006

Phys. Rev. D

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Twistors in four dimensions d = 4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it was shown that the same d = 4 twistor provides also a unified description of an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or non-relativistic, interacting or non-interacting, in flat space or curved spaces. In this paper, using 2T-physics as the primary theory, we derive the general twistor transform in d-dimensions that applies to all cases, and show that these more general twistor transforms provide d dimensional holographic images of an underlying phase space in flat spacetime in d + 2 dimensions. Certain parameters, such as mass, parameters of spacetime metric, and some coupling constants appear as moduli in the holographic image while projecting from d + 2 dimensions to (d − 1) + 1 dimensions or to twistors. We also extend the concept of twistors to include the phase space of D-branes, and give the corresponding twistor transform. The unifying role for the same twistor that describes an assortment of dynamical systems persists in general, including D-branes. Except for a few special cases in low dimensions that exist in the literature, our twistors are new.

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BPS States in M Theory and Twistorial Constituents

Cited by 70 publications

References 30 publications

Superbranes, D = 11 CJS Supergravity and Enlarged Superspace Coordinates/Fields Correspondence

Superbranes, D = 11 CJS Supergravity and Enlarged Superspace Coordinates/Fields Correspondence

Higher Spin Fields in Hyperspace. A Review

Twistor transform inddimensions and a unifying role for twistors

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