The cosmological constant in spontaneously compactified D=11 supergravity

Duff, M. J.; Orzalesi, C. A.

doi:10.1016/0370-2693(83)91164-4

Cited by 53 publications

(29 citation statements)

References 9 publications

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“…1 For early work on gravitino condensates and a possible application to inflation, within extended (superstring-inspired higher-dimensional) supergravity models, see [22,23]. 2 A full analysis of the one-loop effective action of N = 1 supergravity has been performed in [26], taking quantum gravity metric fluctuations into account as in [27], with similar results for the shape of the effective potential and its link to inflation as our flat-space analysis here.…”

Section: The Super-higgs Effect and The Dynamical Breaking Of Conmentioning

confidence: 97%

“…We stress at this stage the important rôle of gravitino torsion condensates in providing the appropriate cosmological constant terms in the effective action that cancel any bare contribution, leading to vanishing vacuum energy at the non-trivial minimum of the (one-loop) effective potential. This property is known in general relativity as parallelism, and played an important rôle in early studies of (spontaneous) compactification of higher-dimensional supergravities, such as 11-dimensional supergravity [22], yielding four-dimensional manifolds with zero cosmological constant.…”

Section: The Super-higgs Effect and The Dynamical Breaking Of Conmentioning

confidence: 99%

“…In (22), V → ∞ is a space-time volume, which cancels the d 4 x factor for constant fields ρ (as appropriate for the evaluation of the effective potential) and P ab is the (massless) gravitino propagator, which, after using the gauge condition (7), becomes:…”

Section: Figmentioning

confidence: 99%

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Inflation induced by gravitino condensation in supergravity

Ellis

Mavromatos

2013

Phys. Rev. D

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We discuss the emergence of an inflationary phase in supergravity with the super-Higgs effect due to dynamical spontaneous breaking of supersymmetry, in which the rôle of the inflaton is played by the gravitino condensate. Realistic models compatible with the Planck satellite CMB data are found in conformal supergravity scenarios with dynamical gravitino masses that are small compared to the Planck mass, as could be induced by a non-trivial vacuum expectation value of the dilaton superfield of appropriate magnitude.

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Section: The Super-higgs Effect and The Dynamical Breaking Of Conmentioning

confidence: 97%

Section: The Super-higgs Effect and The Dynamical Breaking Of Conmentioning

confidence: 99%

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Inflation induced by gravitino condensation in supergravity

Ellis

Mavromatos

2013

Phys. Rev. D

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“…In particular, our vacua necessarily have non-vanishing cosmological constant unless cancelled by fermion condensates [99].…”

Section: The Maldacena Conjecturementioning

confidence: 98%

Anti-De-Sitter Space, Branes, Singletons, Superconformal Field Theories and All That

Duff¹

1999

Int. J. Mod. Phys. A

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There has recently been a revival of interest in anti de-Sitter space (AdS) brought about by the conjectured duality beteeen physics in the bulk of AdS and a conformal field theory on the boundary. Since the whole subject of branes, singletons and superconformal field theories on the AdS boundary was an active area of research about ten years ago, I begin with a historical review, including the "Membrane at the end of the universe" idea. Next I discuss two recent papers with Lu and Pope on AdS 5 × S 5 and on AdS 3 × S 3 , respectively.In each case we note that odd-dimensional spheres S 2n+1 may be regarded as U (1) bundles over CP n and that this permits an unconventional "Hopf" duality along the U (1) fibre.This leads in particular to the phenomenon of BPS without BPS whereby states which appear to be non-BPS in one picture are seen to be BPS in the dual picture. 1 Historical review Gauged extended supergravities and their Kaluza-Klein originIn the early 80's there was great interest in four-dimensional N -extended supergravities for which the global SO(N ) is promoted to a gauge symmetry [1]. In these theories the underlying supersymmetry algebra is no longer Poincare but rather anti-de Sitter (AdS 4 ) and the Lagrangian has a non-vanishing cosmological constant Λ proportional to the square of the gauge coupling constant e: . An important ingredient in these developments that had been insufficiently emphasized in earlier work on Kaluza-Klein theory was that the AdS 4 × S 7 geometry was not fed in by hand but resulted from a spontaneous compactification, i.e. the vacuum state was obtained by finding a stable solution of the higher-dimensional field equations [7]. The mechanism of spontaneous compactification appropriate to the AdS 4 × S 7 solution of eleven-dimensional supergravity was provided by the Freund-Rubin mechanism [8] in which the 4-form field strength in spacetime F µνρσ (µ = 0, 1, 2, 3) is proportional to the alternating symbol ǫ µνρσ[9]: Compactification Supergroup Bosonic subgroup In the three cases given above, the symmetry of the vacuum is described by the supergroups OSp(4|8), SU (2, 2|4) and OSp(6, 2|4) for the S 7 , S 5 and S 4 compactifications respectively, as shown in Table 1. SingletonsEach of these groups is known to admit the so-called singleton, doubleton or tripleton 3 supermultiplets [19] as shown in Table 2. Supergroup Supermultiplet Field contentOSp ( In polar coordinates x µ = (t, r, θ, φ) the line element may be writtenRepresentations of SO(3, 2) are denoted D(E 0 , s), where E 0 is the lowest energy eigenvalue Class 1 is the singleton supermultiplet which has no analogue in Poincare supersymmetry. Class 2 is the Wess-Zumino supermultiplet. Class 3 is the gauge supermultiplet with spins s and s + 1/2 with s ≥ 1/2. Class 4 is the higher spin supermultiplet. The corresponding study of OSp(4|N ) representations was neglected in the literature until their importance in Kaluza-Klein supergravity became apparent. For example, the round S 7 leads to massive N = 8 supermultiplets...

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“…The problem with such a scenario, of course, is that God does not do perturbation theory and presumably an experimentalist would measure God's real world and not what a perturbative string theorist thinks is the real 5 A scheme in which you can have all the benefits of unbroken supersymmetry while appearing to inhabit a non-supersymmetric world has also been proposed by Witten [37] but his mechanism is very different from ours. In particular, our vacua necessarily have non-vanishing cosmological constant unless cancelled by fermion condensates [38].…”

Section: Discussionmentioning

confidence: 99%

Supersymmetry without supersymmetry

Duff

Lü

Pope

1998

Nuclear Physics B - Proceedings Supplements

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We present four-dimensional M -theory vacua with N > 0 supersymmetry which, from the perspective of perturbative Type IIA string theory, have N = 0. Such vacua can appear when the compactifying 7-manifold is a U (1) fibration. The missing superpartners are Dirichlet 0-branes. Someone unable to detect Ramond-Ramond charge would thus conclude that these worlds have no unbroken supersymmetry. In particular, the gravitinos (and also some of the gauge bosons) are 0-branes not seen in perturbation theory but which curiously remain massless however weak the string coupling.

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The cosmological constant in spontaneously compactified D=11 supergravity

Cited by 53 publications

References 9 publications

Inflation induced by gravitino condensation in supergravity

Inflation induced by gravitino condensation in supergravity

Anti-De-Sitter Space, Branes, Singletons, Superconformal Field Theories and All That

Supersymmetry without supersymmetry

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