U-gravity: SL(N)

Park, Jeong-Hyuck; Suh, Yoonji

doi:10.1007/jhep06(2014)102

Cited by 19 publications

(28 citation statements)

References 92 publications

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“…Consequently, if we keep (n,n) fixed once and for all, the variational principle gets restricted and fails to reproduce the full EDFEs: the specific part, Y µ i (P EP ) µνȲ ν ı , does not have to vanish on-shell (4.9). 9 The EDFEs are supposed to arise as the string worldsheet beta-functions [91,92]. For the doubled-yetgauged string action (1.10) upon an arbitrarily chosen (n,n) background, the (n,n)-changing variations of 9 As can be seen from the DFT-metric would correspond to marginal deformations.…”

Section: Resultsmentioning

confidence: 99%

“…9 The EDFEs are supposed to arise as the string worldsheet beta-functions [91,92]. For the doubled-yetgauged string action (1.10) upon an arbitrarily chosen (n,n) background, the (n,n)-changing variations of 9 As can be seen from the DFT-metric would correspond to marginal deformations. We must stress that these deformations could not be realized by merely varying the background component fields with fixed (n,n) (4.13), c.f.…”

Section: Resultsmentioning

confidence: 99%

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Remarks on the non-Riemannian sector in Double Field Theory

Cho

Park

2020

Eur. Phys. J. C

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Taking O(D, D) covariant field variables as its truly fundamental constituents, Double Field Theory can accommodate not only conventional supergravity but also non-Riemannian gravities that may be classified by two non-negative integers, (n,n). Such non-Riemannian backgrounds render a propagating string chiral and anti-chiral over n andn dimensions respectively. Examples include, but are not limited to, Newton-Cartan, Carroll, or Gomis-Ooguri. Here we analyze the variational principle with care for a generic (n,n) non-Riemannian sector. We recognize a nontrivial subtlety for nn = 0, which seems to suggest that the various non-Riemannian gravities should better be identified as different solution sectors of Double Field Theory rather than viewed as independent theories. Separate verification of our results as string worldsheet beta-functions may enlarge the scope of the string landscape far beyond Riemann. arXiv:1909.10711v1 [hep-th] 24 Sep 2019 1.1 Double Field Theory as the O(D, D) completion of General Relativity While the initial motivation of Double Field Theory was to reformulate supergravity in an O(D, D) manifest manner [2-7] ([58-60] for reviews), through subsequent further developments [61-64], DFT has evolved and can be now identified as Stringy Gravity, i.e. pure gravitational theory that string theory seems to predict foremost. 1 More specifically, DFT is the string theory based, O(D, D) completion of General Relativity: taking the O(D, D) symmetry of string theory as the first principle, this Stringy Gravity assumes the whole massless NS-NS sector of closed string as the fundamental gravitational multiplet and interacts with other superstring sectors (R-R [67-69], R-NS [70], and heterotic Yang-Mills [71-73]). Having said that, regardless of supersymmetry, it can also couple to various matter fields which may appear in lower dimensional effective field theories [70, 74, 75], just as General Relativity (GR) does so. In particular, supersymmetric extensions have been completed to the full (i.e. quartic) order in fermions for D = 10 case 1 At least formally let alone its phenomenological validity, c.f. [65, 66].

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Remarks on the non-Riemannian sector in Double Field Theory

Cho

Park

2020

Eur. Phys. J. C

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“…The case λ = Λ 2 was described in refs. [50,57]. We only need to consider p ≤ [ r+1 2 ], higher p are related to lower by an outer automorphism.…”

Section: Examplesmentioning

confidence: 99%

Extended geometries

Cederwall

Palmkvist

2018

J. High Energ. Phys.

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We present a unified and completely general formulation of extended geometry, characterised by a Kac-Moody algebra and a highest weight coordinate module. Generalised diffeomorphisms are constructed, as well as solutions to the section constraint. Generically, additional ("ancillary") gauge transformations are present, and we give a concrete criterion determining when they appear. A universal form of the (pseudo-)action determines the dynamics in all cases without ancillary transformations, and also for a restricted set of cases based on the adjoint representation of a finite-dimensional simple Lie group. Our construction reproduces (the internal sector of) all previously considered cases of double and exceptional field theories.

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“…To the moment there has been large progress in investigation of the SL(5) extended geometry [52,53]. To be noted is the work [54] that considers the internal sector, i.e. the so-called scalar potential, for SL(N) group for any N .…”

Section: Jhep02(2016)012mentioning

confidence: 99%

“…In [54] extended geometry for the group SL(N) was constructed, that may be interpreted as internal sector of a corresponding EFT. One may be interested in merging this work and the present results to end with an SL(N) "exceptional" field theory.…”

Section: Jhep02(2016)012mentioning

confidence: 99%

Exceptional field theory: SL(5)

Musaev

2016

J. High Energ. Phys.

124

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In this work the exceptional field theory formulation of supergravity with SL(5) gauge group is considered. This group appears as a U-duality group of D = 7 maximal supergravity. In the formalism presented the hidden global duality group is promoted into a gauge group of a theory in dimensions 7+number of extended directions. This work is a continuation of the series of works for E 8,7,6 , SO(5, 5) and SL(3) × SL(2) duality groups.

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U-gravity: SL(N)

Cited by 19 publications

References 92 publications

Remarks on the non-Riemannian sector in Double Field Theory

Remarks on the non-Riemannian sector in Double Field Theory

Extended geometries

Exceptional field theory: SL(5)

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