Massive IIA supergravity as a non-linear realisation

Schnakenburg, Igor; West, Peter

doi:10.1016/s0370-2693(02)02124-x

Cited by 57 publications

(116 citation statements)

References 26 publications

(43 reference statements)

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“…The mass parameter was already identified for cosmological billiards [34] and in the level decomposition in [14] and studied in [35,36], with an emphasis on the D8 brane in [37,38]. The present analysis completes the picture by giving a complete and detailed account of the 2 Related work for non-maximal supergravity can be found in [27][28][29].…”

Section: Contentssupporting

confidence: 55%

“…To this end we shall slice up the adjoint representation of e 10 in a multilevel decomposition, suitable to reveal the field content of massive IIA supergravity [35,14]. In order to incorporate also the fermionic sector in the sigma model, we will analyse the relevant (unfaithful) Dirac-spinor and vector-spinor representations of k(e 10 ) up to the desired level.…”

Section: Supersymmetry Variationsmentioning

confidence: 99%

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On theE10/massive type IIA supergravity correspondence

Henneaux

Jamsin²,

Kleinschmidt³

et al. 2009

Phys. Rev. D

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In this paper we investigate in detail the correspondence between E10 and Romans' massive deformation of type IIA supergravity. We analyse the dynamics of a non-linear sigma model for a spinning particle on the coset space E10/K(E10) and show that it reproduces the dynamics of the bosonic as well as the fermionic sector of the massive IIA theory, within the standard truncation. The mass deformation parameter corresponds to a generator of E10 outside the realm of the generators entering the usual D = 11 analysis, and is naturally included without any deformation of the coset model for E10/K(E10). Our analysis thus provides a dynamical unification of the massless and massive versions of type IIA supergravity inside E10. We discuss a number of additional and general features of relevance in the analysis of any deformed supergravity in the correspondence to Kac-Moody algebras, including recently studied deformations where the trombone symmetry is gauged.

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Section: Contentssupporting

confidence: 55%

Section: Supersymmetry Variationsmentioning

confidence: 99%

On theE10/massive type IIA supergravity correspondence

Henneaux

Jamsin²,

Kleinschmidt³

et al. 2009

Phys. Rev. D

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“…Here, K(E 10 ) is the maximal compact subgroup of E 10 . Further evidence for the rôle of the one-dimensional non-linear sigma model E 10 /K(E 10 ) in M-theory was provided in [13][14][15][16].An earlier and conceptually different proposal aiming at capturing hidden symmetries of M-theory, and based on the very-extended Kac-Moody group E 11 , was made in [17,18] and further developed in [19][20][21]. A proposal combining the ideas of [18] and [11] was put forward in [22][23][24].…”

mentioning

confidence: 99%

“…An earlier and conceptually different proposal aiming at capturing hidden symmetries of M-theory, and based on the very-extended Kac-Moody group E 11 , was made in [17,18] and further developed in [19][20][21]. A proposal combining the ideas of [18] and [11] was put forward in [22][23][24].…”

mentioning

confidence: 99%

Hidden symmetries and the fermionic sector of eleven-dimensional supergravity

2006

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We study the hidden symmetries of the fermionic sector of D = 11 supergravity, and the rôle of K(E 10 ) as a generalised 'R-symmetry'. We find a consistent model of a massless spinning particle on an E 10 /K(E 10 ) coset manifold whose dynamics can be mapped onto the fermionic and bosonic dynamics of D = 11 supergravity in the near space-like singularity limit. This E 10 -invariant superparticle dynamics might provide the basis of a new definition of M-theory, and might describe the 'de-emergence' of spacetime near a cosmological singularity. Eleven-dimensional supergravity (SUGRA 11 ) [1] is believed to be the low-energy limit of the elusive 'M-theory', which is, hopefully, a unified framework encompassing the various known string theories. Understanding the symmetries of SUGRA 11 is therefore important for reaching a satisfactory formulation of M-theory. Many years ago it was found that the toroidal dimensional reduction of SUGRA 11 to lower dimensions leads to the emergence of unexpected ('hidden') symmetry groups, notably E 7 in the reduction to four noncompactified spacetime dimensions [2], E 8 in the reduction to D = 3 [2-5], and the affine Kac-Moody group E 9 in the reduction to D = 2 [6,7]. It was also conjectured [8] that the hyperbolic Kac-Moody group E 10 might appear when reducing SUGRA 11 to only one (time-like) dimension.Recently, the consideration, à la Belinskii, Khalatnikov and Lifshitz [9], of the near space-like singularity limit 1 of generic inhomogeneous bosonic eleven-dimensional supergravity solutions has uncovered some striking evidence for the hidden rôle of E 10 [10,11]. Ref.[11] related the gradient expansion * Corresponding author.E-mail address: axel.kleinschmidt@aei.mpg.de (A. Kleinschmidt). 1 This limit can also be viewed as a small tension limit, α → ∞.(∂ x ∂ t ), which organises the near space-like singularity limit [12], to an algebraic expansion in the height of positive roots of E 10 . A main conjecture of [11] was the existence of a correspondence between the time evolution, around any given spatial point x, of the supergravity bosonic fields g (11) MN (t, x), A (11) MNP (t, x), together with their infinite towers of spatial gradients, on the one hand, and the dynamics of a structureless massless particle on the infinite-dimensional coset space E 10 /K(E 10 ) on the other hand. Here, K(E 10 ) is the maximal compact subgroup of E 10 . Further evidence for the rôle of the one-dimensional non-linear sigma model E 10 /K(E 10 ) in M-theory was provided in [13][14][15][16].An earlier and conceptually different proposal aiming at capturing hidden symmetries of M-theory, and based on the very-extended Kac-Moody group E 11 , was made in [17,18] and further developed in [19][20][21]. A proposal combining the ideas of [18] and [11] was put forward in [22][23][24].In this Letter, we extend the bosonic coset construction of [11] to the full supergravity theory by including fermionic variables; more specifically, we provide evidence for the existence of a correspondence between th...

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“…In particular, at ℓ = (4, 1), one has a nine-form generator E a1···a9 whose accompanying nine-form field will be identified with the dual to the mass of massive IIA supergravity [20,25]. This is intriguing since in D = 11 the matching between supergravity and e 10 has only been successful up to ℓ 1 = 3.…”

Section: The a 8 Level Decomposition Of E 10mentioning

confidence: 99%

Massive type IIA supergravity and E₁₀

Henneaux

Jamsin²,

Kleinschmidt

et al. 2009

Fortschritte der Physik

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In this talk we investigate the symmetry under E10 of Romans' massive type IIA supergravity. We show that the dynamics of a spinning particle in a non-linear sigma model on the coset space E10/K(E10) reproduces the bosonic and fermionic dynamics of massive IIA supergravity, in the standard truncation. In particular, we identify Romans' mass with a generator of E10 that is beyond the realm of the generators of E10 considered in the eleven-dimensional analysis, but using the same, underformed sigma model. As a consequence, this work provides a dynamical unification of the massless and massive versions of type IIA supergravitiy inside E10.

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Massive IIA supergravity as a non-linear realisation

Cited by 57 publications

References 26 publications

On theE10/massive type IIA supergravity correspondence

On theE10/massive type IIA supergravity correspondence

Hidden symmetries and the fermionic sector of eleven-dimensional supergravity

Massive type IIA supergravity and E₁₀

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Massive IIA supergravity as a non-linear realisation

Cited by 57 publications

References 26 publications

On theE10/massive type IIA supergravity correspondence

On theE10/massive type IIA supergravity correspondence

Hidden symmetries and the fermionic sector of eleven-dimensional supergravity

Massive type IIA supergravity and E10

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Massive type IIA supergravity and E₁₀