Generalizing eleven-dimensional supergravity

Bakhmatov, Ilya; Çatal-Özer, Aybike; Deger, Nihat Sadik; Gubarev, Kirill; Musaev, Edvard T.

doi:10.48550/arxiv.2203.03372

Cited by 4 publications

(7 citation statements)

References 28 publications

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“…In this paper we present a detailed description of the generalization of equations of 11D supergravity announced in [36]. These equations are satisfied by non-unimodular tri-vector generalized YB deformed supergravity backgrounds.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Interestingly enough these conditions imply that S mn = J (mn) is a Killing tensor [36]. Although looking very restrictive, these actually allow for new solutions that are beyond the standard 11D supergravity as we will illustrate in section 3.5.…”

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confidence: 99%

“…On the other hand, absence of a 11D parent of 10D generalized supergravity would be rather puzzling since one would expect it to be part of the M-theory landscape. To resolve this conundrum, in [36] we proposed a new approach that is based on the bi-vector (Yang-Baxter) and tri-vector deformations of supergravity solutions in terms of double (DFT) and exceptional field theory (ExFT) [37][38][39][40]. They provide a T/U-duality covariant approach to supergravity and are formulated on an extended space endowed with a section constraint.…”

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confidence: 99%

“…As it was shown in [40] these conditions are sufficient for the generalized fluxes of ExFT to be invariant under the generalized YB deformation and hence for a deformed background to be a solution of the ordinary 11D supergravity. Now, the key idea of the approach we briefly reported in [36] and to be described in detail in the current paper is to allow non-unimodular tri-vector deformations. Under these, fluxes of ExFT transform non-trivially acquiring additional terms containing the tensor…”

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confidence: 99%

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Generalized 11D supergravity equations from tri-vector deformations

Bakhmatov¹,

Çatal-Özer²,

Deger³

et al. 2022

Preprint

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In arXiv:2203.03372 [Phys.Rev.D 105 (2022) 8, L081904] we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of that result which is based on SL(5) exceptional field theory. The equations are obtained by making a non-unimodular tri-vector Yang-Baxter deformation which breaks the initial GL(11) symmetry down to GL(7)×GL(4). We also give some non-trivial solutions to these equations.

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Section: Conclusion and Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Generalized 11D supergravity equations from tri-vector deformations

Bakhmatov¹,

Çatal-Özer²,

Deger³

et al. 2022

Preprint

Self Cite

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“…This line of enquiry resulted in what is now called an excep tional Drinfel'd algebra [196][197][198][199]. Since then, various articles have stemmed to provide a mathematical formulation in terms of algebroids 1 [202,203] and applications in Super gravity [204,205]. As this field is extremely recent, I expect many more interesting works to appear soon, possibly merging Poisson-Lie U-and T-duality in a unified framework, along the lines of [202].…”

Section: Nunc Fluens Facit Tempus Nunc Stans Facit Aeternitatemmentioning

confidence: 99%

Duality and Integrability in String Theory

Piccinini¹

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This thesis investigates aspects of duality and integrable deformations in String Theory. In the first two chapters we review standard material in Mathematics and Physics, laying the ground to the novel contributions later reported. In Chapter 4 we introduce gener alised cosets, on which we are able to provide a canonical construction for a generalised frame field and spin connection that together furnish an algebra under the generalised Lie derivative. In Chapter 5 we study the geometric properties of the Yang-Baxter defor mation of CPn, showing that it constitutes an exemplar of Generalised Kähler Geometry. For CP2 we compute the generalised Kähler potential. Tangentially, we furnish a closed form for the metric and B-field of the Yang-Baxter deformed sphere Sn, for every n. In Chapter 7 we address the problem of two-loop renormalisation of the Tseytlin dou bled string for cosmological spacetimes. Whilst the results do satisfy a number of key consistency criteria, we find however that the two-loop counter-terms are incompatible with O(n, n) symmetry, pointing perhaps to the presence of scheme changes. In Chapter 8 we build on this work and set the stage for a two-loop calculation for a Poisson-Lie T-duality covariant theory.

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SUSY and tri-vector deformations

Alexander¹,

Musaev²

2022

Preprint

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We analyze conditions for a tri-vector deformation of a supergravity background to preserve some supersymmetry. Working in the formalism of the SL(5) exceptional field theory we introduce an additional USp(4) transformation to stay in the supergravity frame. This transformation acts on local indices and deforms BPS equations of exceptional field theory. Requirement for the deformation to vanish is the desired condition.

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Generalizing eleven-dimensional supergravity

Cited by 4 publications

References 28 publications

Generalized 11D supergravity equations from tri-vector deformations

Generalized 11D supergravity equations from tri-vector deformations

Duality and Integrability in String Theory

SUSY and tri-vector deformations

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