String theory and string Newton–Cartan geometry

Bergshoeff, Eric; Gomis, Joaquim; Rosseel, Jan; Şimşek, Ceyda; Yan, Z.

doi:10.1088/1751-8121/ab56e9

Cited by 148 publications

(341 citation statements)

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“…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. [51,53,55].…”

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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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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“…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. [51,53,55].…”

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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“…Symmetry-wise, the O(D, D) of (1) is broken spontaneously in (2) of which General Covariance is reduced to Lorentz symmetry in (14) and further to Galilean symmetry in (33). It would be of interest to investigate whether General Covariance can be recovered as in (stringy) Newton-Cartan Gravity [51][52][53].…”

Section: Discussionmentioning

confidence: 99%

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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“…As in the particle case, higher values of N give rise to post-Newtonian extensions of the brane Newton-Hooke algebra. In the case of vanishing cosmological constant, these reduce to the non-relativistic expansion of the p-brane Galilean algebra [78][79][80], which have been studied in [37].…”

Section: A Further Generalisationsmentioning

confidence: 99%

Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity

Gomis

Kleinschmidt

Palmkvist

et al. 2020

J. High Energ. Phys.

117

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We construct finite-and infinite-dimensional non-relativistic extensions of the Newton-Hooke and Carroll (A)dS algebras using the algebra expansion method, starting from the (anti-)de Sitter relativistic algebra in D dimensions. These algebras are also shown to be embedded in different affine Kac-Moody algebras. In the three-dimensional case, we construct Chern-Simons actions invariant under these symmetries. This leads to a sequence of non-relativistic gravity theories, where the simplest examples correspond to extended Newton-Hooke and extended (post-)Newtonian gravity together with their Carrollian counterparts.

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String theory and string Newton–Cartan geometry

Cited by 148 publications

References 50 publications

Remarks on the non-Riemannian sector in Double Field Theory

Remarks on the non-Riemannian sector in Double Field Theory

Stringy Newton gravity with H -flux

Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity

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