Non-Riemannian geometry of M-theory

Berman, David S.; Blair, Chris D. A.; Otsuki, Ray

doi:10.1007/jhep07(2019)175

Cited by 54 publications

(124 citation statements)

References 152 publications

(384 reference statements)

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“…(39) Clearly from (38), ∇×H = 4πG∇×s. Far away from a localized source, |x| >> |x ′ |, we observe a stringy dipole,…”

Section: Non-relativistic Limit: Stringy Newtonmentioning

confidence: 99%

“…Remarkably, the perfectly O(D, D)-symmetric vacua, satisfying G AB = 0, turned out to be a topological phase which allows no moduli and no interpretation within Riemannian geometry, thus escaping beyond the realm of GR [30,36,37]. Only after a spontaneous symmetry breaking of O(D, D), the familiar string theory backgrounds characterized by the Riemannian metric g µν and the Kalb-Ramond skew-symmetric two-form potential B µν emerge: these component fields parametrize the DFT-metric while being identified as the Nambu-Goldstone bosons [38]. The master formula (1) then reduces to (c.f.…”

Section: Introductionmentioning

confidence: 99%

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Stringy Newton gravity with H -flux

2020

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A Symmetry Principle has been shown to augment unambiguously the Einstein Field Equations, promoting the whole closed-string massless NS-NS sector to stringy graviton fields. Here we consider its weak field approximation, take a non-relativistic limit, and derive the stringy augmentation of Newton Gravity:Not only the mass density ρ but also the current density K is intrinsic to matter. Sourcing H which is of NS-NS H-flux origin, K is nontrivial if the matter is 'stringy'. H contributes quadratically to the Newton potential, but otherwise is decoupled from the point particle dynamics, i.e.ẍ = −∇Φ. We define 'stringization' analogous to magnetization and discuss regular as well as monopole-like singular solutions.

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“…(39) Clearly from (38), ∇×H = 4πG∇×s. Far away from a localized source, |x| >> |x ′ |, we observe a stringy dipole,…”

Section: Non-relativistic Limit: Stringy Newtonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stringy Newton gravity with H -flux

2020

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“…It would also be interesting to construct explicit solutions using the KK type gauge fields in the reduction along the lines of [59]. The reductions described here might also be useful in relating different non-Riemannian solutions of EFT and DFT following [30] and [60][61][62].…”

Section: Discussionmentioning

confidence: 99%

Reductions of exceptional field theories

Berman

Otsuki

2020

J. High Energ. Phys.

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Double Field Theory (DFT) and Exceptional Field Theory (EFT), collectively called ExFTs, have proven to be a remarkably powerful new framework for string and M-theory. Exceptional field theories were constructed on a case by case basis as often each EFT has its own idiosyncrasies. Intuitively though, an E n−1(n−1) EFT must be contained in an E n(n) ExFT but how this works has been unclear since different EFTs are not related by reductions but by rearranging degrees of freedom. In this paper we propose a generalised Kaluza-Klein ansatz to relate different ExFTs. We then discuss in more detail the different aspects of the relationship between various ExFTs including the coordinates, section condition and (pseudo)-Lagrangian densities. For the E 8(8) EFT we describe a generalisation of the Mukhi -Papageorgakis mechanism to relate the d = 3 topological term in the E 8(8) EFT to a Yang-Mills action in the E 7(7) EFT. i d.s.berman@qmul.ac.uk ii r.otsuki@qmul.ac.uk 1 We have been explicit in specifying the continuous groups as they are not quite the discrete T-and U-duality groups. We shall henceforth drop the R and leave it implicit (see [1] for a discussion of how these dualities appear in ExFTs).2 See also [12,13] for progress on the n = 9 case (the first instance where the extended spacetime is infinite-dimensional). 3 See also [22] which studied the relation between the M-theory and Type IIB solutions of the same EFT.

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“…Remarkably, exceptional cosets will provide us with the right geometry for eleven‐dimensional supergravity. In fact one can then follow and investigate different exceptional cosets leading to a host of non‐Riemannian geometries in M‐theory . One unfortunate property of the exceptional groups is that typically one has to deal with them on a case by case basis rather than being able to make a general statement for

E_{d}

.…”

Section: Lifting 11d Supergravity Exceptional Field Theorymentioning

confidence: 99%

A Kaluza–Klein Approach to Double and Exceptional Field Theory

Berman

2019

Fortschritte der Physik

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We examine the challenge of viewing all the fields in supergravity as arising from a Kaluza–Klein like dimensional reduction of some higher‐dimensional theory. This gives rise to what is known as exceptional field theory or double field theory. A particular emphasis is placed on following the Kaluza–Klein intuition leading to the identification of charged states and a reinterpretation of the central charges. We further give a description of the novel extended geometry as a generalised phase space and the relationship to string and M‐theory theory and the notion of quantization.

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Non-Riemannian geometry of M-theory

Cited by 54 publications

References 152 publications

Stringy Newton gravity with H -flux

Stringy Newton gravity with H -flux

Reductions of exceptional field theories

A Kaluza–Klein Approach to Double and Exceptional Field Theory

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