A worldsheet supersymmetric Newton-Cartan string

Blair, Chris D. A.

doi:10.1007/jhep10(2019)266

Cited by 57 publications

(73 citation statements)

References 92 publications

(256 reference statements)

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“…We have shown that the O(D, D)-completed General Relativity or Einstein Field Equations (1) reduce in the non-relativistic limit to the Stringy Newton Gravity (33). 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%

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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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Section: Discussionmentioning

confidence: 99%

“…Examples include Yang-Mills [16,17], fermions [18] (c.f. [19]), R-R sector [20][21][22][23], full-order supersymmetrizations [24,25], point particles [26,27], fundamental strings [28][29][30][31][32][33], and the Standard Model itself [34]. Naturally, the Einstein Field Equations are augmented to an O(D, D)-symmetric form [15] (c.f.…”

Section: Introductionmentioning

confidence: 99%

Stringy Newton gravity with H -flux

2020

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“…Matching with the content of the non-Riemannian component fields, 20) and the undoubled string worldsheet action resulting from (1.10), one can identify the original Newton-Cartan [32][33][34] as (1, 0), Stringy Newton-Cartan [35] as (1, 1), Carroll [36,37] as (D−1, 0), and Gomis-Ooguri [38] as (1, 1): see [1,11,56] for the details of the identifications. Further, the isometry of the (1, 1)…”

Section: )mentioning

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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“…See the recent work[58] for progress in this direction 16. See[17,[59][60][61] for Hamiltonian analyses related to non-relativistic branes.…”

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confidence: 99%

Relating non-relativistic string theories

Harmark

Hartong

Menculini

et al. 2019

J. High Energ. Phys.

131

266

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Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed. In particular, one approach is to reduce a relativistic string along a null isometry in target space. Another method is to perform an appropriate large speed of light expansion of a relativistic string. Both of the resulting non-relativistic string theories only have a well-defined spectrum if they have nonzero winding along a longitudinal spatial direction. In the presence of a Kalb-Ramond field, we show that these theories are equivalent provided the latter direction is an isometry. Finally, we consider a further limit of non-relativistic string theory that has proven useful in the context of AdS/CFT (related to Spin Matrix Theory). In that case, the worldsheet theory itself becomes non-relativistic and the dilaton coupling vanishes.

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A worldsheet supersymmetric Newton-Cartan string

Cited by 57 publications

References 92 publications

Stringy Newton gravity with H -flux

Stringy Newton gravity with H -flux

Remarks on the non-Riemannian sector in Double Field Theory

Relating non-relativistic string theories

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