On the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>/massive type IIA supergravity correspondence

Henneaux, Marc; Jamsin, Ella; Kleinschmidt, Axel; Persson, Daniel

doi:10.1103/physrevd.79.045008

Cited by 16 publications

(34 citation statements)

References 84 publications

(321 reference statements)

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“…We use the conventions of[22] for the formulation of the theory, with some changes in notation 5. In what follows we will suppress the subscript denoting the rank of a form field whenever its indices appear.…”

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confidence: 99%

Perturbing AdS6 ×w S4: linearised equations and spin-2 spectrum

Passias

Richmond

2018

J. High Energ. Phys.

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We initiate the analysis of the Kaluza-Klein mass spectrum of massive IIA supergravity on the warped AdS 6 × w S 4 background, by deriving the linearised equations of motion of bosonic and fermionic fluctuations, and determining the mass spectrum of those of spin-2. The spin-2 modes are given in terms of hypergeometric functions and a careful analysis of their boundary conditions uncovers the existence of two branches of mass spectra, bounded from below. The modes that saturate the bounds belong to short multiplets which we identify in the representation theory of the f(4) symmetry superalgebra of the AdS 6 × w S 4 solution.

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confidence: 99%

Perturbing AdS6 ×w S4: linearised equations and spin-2 spectrum

Passias

Richmond

2018

J. High Energ. Phys.

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“…We appreciate that the relation d = 11 − n might suggest d = 1 or d = 0 EFT to be the underlying one. However, such hypothetical EFTs should have infinite dimensional symmetry groups E 10 [83,84,85,86,87] and E 11 [43,44,45,46,47,48,49,50,51,52], which seems to imply the necessity to introduce an infinite number of additional coordinates. In contrast a huge but finite number of unconventional coordinates in our 11D EFT (528) provides us with the resource for additional coordinates for all the E n(n) EFTs with 2 ≤ n ≤ 8 (and also for 10D DFT) although do not make any of these U-duality symmetries manifest.…”

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confidence: 99%

Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories

Bandos

2017

Nuclear Physics B

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Recently proposed exceptional field theories (EFTs) making manifest the duality E n(n) symmetry, first observed as nonlinearly realized symmetries of the maximal d = 3, 4, ..., 9 supergravity (n = 11 − d) and containing 11D and type IIB supergravity as sectors, were formulated in enlarged spacetimes. In the case of E 7(7) EFT such an enlarged spacetime can be identified with the bosonic body of the d = 4 central charge superspace Σ (60|32) , the N = 8 d = 4 superspace completed by 56 additional bosonic coordinates associated to central charges of the maximal d = 4 supersymmetry algebra. In this paper we show how the hypothesis on the relation of all the known E n(n) EFTs, including n = 8, with supersymmetry leads to the conjecture on existence of 11D exceptional field theory living in 11D tensorial central charge superspace Σ (528|32) and underlying all the E n(n) EFTs with n = 2, ..., 8, and probably the double field theory (DFT). We conjecture the possible form of the section conditions of such an 11D EFT and show that quite generic solutions of these can be generated by superparticle models the ground states of which preserve from one half to all but one supersymmetry. The properties of these superparticle models are briefly discussed. We argue that, upon quantization, their quantum states should describe free massless non-conformal higher spin fields in D=11. We also discuss some relevant representations of the M-theory superalgebra which, in the present context, describes supersymmetry of the 11D EFT.symmetries are the exceptional Lie groups from the Cartan list, for lower n E n(n) denote simpler groups: E 5(5) = SO(5, 5), E 4(4) = SL(5), E 3(3) = SL(2) × SL(2) and, as it was proposed in recent [18], E 2(2) = SL(2) × R + .3 See [32] and refs. therein for T-duality and [33,34,35,36,37,31,38,39,40] for string and superstring in doubled (super)spaces. Notice also that we usually denote the number of spacetime dimensions by D when it is equal to 10 or 11, and by d when it is lower, so that d ≤ 9.4 The name 'section conditions' was introduced in [4] developing E 4(4) = SL(5) (pre-)EFT formalism of [41]. The name EFT was introduced in [1] which starts a series of papers formulating the EFTs for exceptional U-duality groups E7,7, E 6(6) and E 8(8) in its complete form, including all the differential form fields of maximal d = 11 − n dimensional supergravity. 5 Notice a partial intersection of (the 'left hand side' of) this Table 1 with Table 2 of [42], where a possible relation of 11D supermembrane duality transformations with E n(n) duality symmetries of dimensionally reduced maximal supergravity was discussed.

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“…Further aspects of gauge fixing and the consistency of the gauge algebra and supersymmetry with the correspondence can be found in [12].…”

Section: Supersymmetry Parameter ǫmentioning

confidence: 99%

“…More details can be found in [5,23,12]. The split real form of e 10 is generated by ten triples (e i , f i , h i ), i = 1, .…”

Section: Massive Iia Supergravitymentioning

confidence: 99%

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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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On theE10/massive type IIA supergravity correspondence

Cited by 16 publications

References 84 publications

Perturbing AdS6 ×w S4: linearised equations and spin-2 spectrum

Perturbing AdS6 ×w S4: linearised equations and spin-2 spectrum

Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories

Massive type IIA supergravity and E₁₀

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On theE10/massive type IIA supergravity correspondence

Cited by 16 publications

References 84 publications

Perturbing AdS6 ×w S4: linearised equations and spin-2 spectrum

Perturbing AdS6 ×w S4: linearised equations and spin-2 spectrum

Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories

Massive type IIA supergravity and E10

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Product

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Massive type IIA supergravity and E₁₀