The O<sub>D, D</sub> geometry of string theory

Berman, David S.; Blair, Chris D. A.; Malek, Emanuel; Perry, Malcolm J.

doi:10.1142/s0217751x14500808

Cited by 67 publications

(102 citation statements)

References 113 publications

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“…This is the generalised Weitzenböck connection [43,44]. As in the conventional case, the structure constants of the frame algebra are given by the generalised torsion (in frame indices) of the generalised Weitzenböck connection [15,23] 9…”

Section: Generalised Connections and Conventional Scherk-schwarzmentioning

confidence: 99%

Spheres, Generalised Parallelisability and Consistent Truncations

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

165

363

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We show that generalised geometry gives a unified description of maximally supersymmetric consistent truncations of ten-and eleven-dimensional supergravity. In all cases the reduction manifold admits a "generalised parallelisation" with a frame algebra with constant coefficients. The consistent truncation then arises as a generalised version of a conventional Scherk-Schwarz reduction with the frame algebra encoding the embedding tensor of the reduced theory. The key new result is that all round-sphere S d geometries admit such generalised parallelisations with an SO(d + 1) frame algebra. Thus we show that the remarkable consistent truncations on S 3 , S 4 , S 5 and S 7 are in fact simply generalised Scherk-Schwarz reductions. This description leads directly to the standard non-linear scalar-field ansatze and as an application we give the full scalar-field ansatz for the type IIB truncation on S 5 .

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Section: Generalised Connections and Conventional Scherk-schwarzmentioning

confidence: 99%

Spheres, Generalised Parallelisability and Consistent Truncations

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

165

363

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“…Such non-geometric gaugings also arise from compactifications of string theory with non-geometric flux (see, for example [27][28][29]) and the relation of such compactifications with twisted compactifications of DFT was explored in various papers, including [30][31][32][33]. We should also note that, the results of [22] was also obtained by [34], by considering the duality twisted reductions of the DFT action they constructed in terms of a torsionful, flat generalized connection, called the Weitzenböck connection. 1 In all of the works cited above, only the reduction of the DFT of the NS-NS sector of massless string theory was studied.…”

Section: Jhep09(2017)044mentioning

confidence: 99%

Duality twisted reductions of Double Field Theory of Type II strings

Özer

2017

J. High Energ. Phys.

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We study duality twisted reductions of the Double Field Theory (DFT) of the RR sector of massless Type II theory, with twists belonging to the duality group Spin + (10, 10). We determine the action and the gauge algebra of the resulting theory and determine the conditions for consistency. In doing this, we work with the DFT action constructed by Hohm, Kwak and Zwiebach, which we rewrite in terms of the Mukai pairing: a natural bilinear form on the space of spinors, which is manifestly Spin(n, n) invariant. If the duality twist is introduced via the Spin + (10, 10) element S in the RR sector, then the NS-NS sector should also be deformed via the duality twist U = ρ(S), where ρ is the double covering homomorphism between P in(n, n) and O(n, n). We show that the set of conditions required for the consistency of the reduction of the NS-NS sector are also crucial for the consistency of the reduction of the RR sector, owing to the fact that the Lie algebras of Spin(n, n) and SO(n, n) are isomorphic. In addition, requirement of gauge invariance imposes an extra constraint on the fluxes that determine the deformations.

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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%

“…This is a non-translating transformation with parameter 34) JHEP09 (2014)066 which relies on the appearance of the combination a 2 a t + [ξ, a]a t . The above demonstrates that this happens to all orders for finite transformations connected to the identity.…”

Section: Jhep09(2014)066mentioning

confidence: 99%

Global aspects of double geometry

Berman

Cederwall

Perry³

2014

J. High Energ. Phys.

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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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The O_{D, D} geometry of string theory

Cited by 67 publications

References 113 publications

Spheres, Generalised Parallelisability and Consistent Truncations

Spheres, Generalised Parallelisability and Consistent Truncations

Duality twisted reductions of Double Field Theory of Type II strings

Global aspects of double geometry

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The OD, D geometry of string theory

Cited by 67 publications

References 113 publications

Spheres, Generalised Parallelisability and Consistent Truncations

Spheres, Generalised Parallelisability and Consistent Truncations

Duality twisted reductions of Double Field Theory of Type II strings

Global aspects of double geometry

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Product

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The O_{D, D} geometry of string theory