An
                    <i>O(D, D)</i>
                    invariant Hamiltonian action for the superstring

Blair, Chris D. A.; Malek, Emanuel; Routh, Alasdair J.

doi:10.1088/0264-9381/31/20/205011

Cited by 38 publications

(63 citation statements)

References 116 publications

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“…refs. [29][30][31][32][33][34], and a full listing of all the interesting and relevant work is outside the scope of this brief note and so we refer the reader to the three reviews for a review of developments and a fuller list of citations of this rapidly maturing subject.…”

Section: Of the O(d D)/o(d) × O(d)mentioning

confidence: 99%

Global aspects of double geometry

Berman

Cederwall

Perry³

2014

J. High Energ. Phys.

123

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Abstract:We consider the concept of a generalised manifold in the O(d, d) setting, i.e., in double geometry. The conjecture by Hohm and Zwiebach for the form of finite generalised diffeomorphisms is shown to hold. Transition functions on overlaps are defined. Triple overlaps are trivial concerning their action on coordinates, but non-trivial on fields, including the generalised metric. A generalised manifold is an ordinary manifold, but the generalised metric on the manifold carries a gerbe structure. We show how the abelian behaviour of the gerbe is embedded in the non-abelian T-duality group. We also comment on possibilities and difficulties in the U-duality setting.

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Section: Of the O(d D)/o(d) × O(d)mentioning

confidence: 99%

Global aspects of double geometry

Berman

Cederwall

Perry³

2014

J. High Energ. Phys.

123

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“…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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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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“…The gauged one-form can be then used to construct an SL(N ) duality manifest world-volume action for an (N − 3)-brane propagating in the extended-yet-gauged spacetime, as done for a string in [30] (cf. [82][83][84]). The notion of the cosmological 'constant' depends on the kind of differential geometry in use [66].…”

Section: Discussionmentioning

confidence: 99%

U-gravity: SL(N)

Park

Suh

2014

J. High Energ. Phys.

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We construct a duality manifest gravitational theory for the special linear group, SL(N ) with N = 4. The spacetime is formally extended, to have the dimension 1 2 N (N − 1), yet is gauged. Consequently the theory is subject to a section condition. We introduce a semi-covariant derivative and a semi-covariant 'Riemann' curvature, both of which can be completely covariantized after symmetrizing or contracting the SL(N ) vector indices properly. Fully covariant scalar and 'Ricci' curvatures then constitute the action and the 'Einstein' equation of motion. For N ≥ 5, the section condition admits duality inequivalent two solutions, one (N − 1)-dimensional and the other three-dimensional. In each case, the theory can describe not only Riemannian but also non-Riemannian backgrounds.

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An O(D, D) invariant Hamiltonian action for the superstring

Cited by 38 publications

References 116 publications

Global aspects of double geometry

Global aspects of double geometry

Stringy Newton gravity with H -flux

U-gravity: SL(N)

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