Stringy unification of type IIA and IIB supergravities under <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn>10</mml:mn></mml:math> supersymmetric double field theory

Jeon, Imtak; Lee, Kanghoon; Park, Jeong-Hyuck; Suh, Yoonji

doi:10.1016/j.physletb.2013.05.016

Cited by 89 publications

(69 citation statements)

References 46 publications

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“…Thus, each sum, t + n, s + n, s +n, and t +n, should be constant. For example, the Minkowskian D = 10 maximally supersymmetric DFT [83] and the doubled-yet-gauged Green-Schwarz superstring action [77], both having the local Lorentz group of Spin(1, 9) × Spin(9, 1), can accommodate (0, 0) Riemannian and (1, 1)…”

Section: )mentioning

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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confidence: 99%

“…powered by '1.5 formalism' [76,77], and the pure Standard Model without any extra physical degrees of freedom can easily couple to DFT in an O(D, D) symmetric manner [78].…”

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confidence: 99%

Remarks on the non-Riemannian sector in Double Field Theory

Cho

Park

2020

Eur. Phys. J. C

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“…We also extended our results to the case where the action was supplemented with the Scherk-Schwarz term, and to the inclusion of the RR sector. A very natural next step is then to continue calculating this current for the other extensions of double field theory, such as the heterotic double field theory [17] and the supersymmetric extensions, in which the full type II supergravities are unified [24]. There it would be interesting to consider the algebra of charges and supercharges.…”

Section: Jhep04(2016)180 6 Conclusionmentioning

confidence: 99%

“…To obtain a Ricci-like identity for a generalised torsion free connection, we can rewrite .23) and project 24) using the identity R LKM N = 0 and the fact that 25) which vanishes by the section condition.…”

Section: A12 Generalised Riemann Tensor and Ricci Identitymentioning

confidence: 99%

Conserved currents of double field theory

Blair

2016

J. High Energ. Phys.

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Abstract:We find the conserved current associated to invariance under generalised diffeomorphisms in double field theory. This can be used to define a generalised Komar integral. We comment on its applications to solutions, in particular to the fundamental string/ppwave. We also discuss the current in the context of Scherk-Schwarz compactifications. We calculate the current for both the original double field theory action, corresponding to the NSNS sector alone, and for the RR sector.

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“…The theory has been shown to admit full order (i.e. quartic in fermions) supersymmetrizations [22,23], and turned out to contain not only supergravity but also various non-Riemannian gravities, e.g. Newton-Cartan, as different solution sectors [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A note on Faddeev-Popov action for doubled-yet-gauged particle and graded Poisson geometry

Basile

Joung

Park

2020

J. High Energ. Phys.

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The section condition of Double Field Theory has been argued to mean that doubled coordinates are gauged: a gauge orbit represents a single physical point. In this note, we consider a doubled and at the same time gauged particle action, and show that its BRST formulation including Faddeev-Popov ghosts matches with the graded Poisson geometry that has been recently used to describe the symmetries of Double Field Theory. Besides, by requiring target spacetime diffeomorphisms at the quantum level, we derive quantum corrections to the classical action involving dilaton, which are analogous to the Fradkin-Tseytlin term on string worldsheet. arXiv:1910.13120v1 [hep-th] 29 Oct 2019 to DFT. Section 2 contains our main results which split into three parts. Firstly, we introduce a constant projector into a section, and using this we reformulate the section condition as well as the coordinate gauge symmetry. Secondly, we consider the BRST formulation of the doubled-yet-gauged particle action [33], and point out its connection to the graded Poisson geometry [62,63]. Thirdly, by requiring target space-

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Stringy unification of type IIA and IIB supergravities under N=2 D=10 supersymmetric double field theory

Cited by 89 publications

References 46 publications

Remarks on the non-Riemannian sector in Double Field Theory

Remarks on the non-Riemannian sector in Double Field Theory

Conserved currents of double field theory

A note on Faddeev-Popov action for doubled-yet-gauged particle and graded Poisson geometry

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