Conformal Supergravity in Ten Dimensions

BERGSHOEFF, E.; Roo, Maurits de; Wit, Bernard de

doi:10.1142/9789814542340_0053

Cited by 6 publications

(9 citation statements)

References 1 publication

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“…There are also various Fierz identities which can be derived from the following basic identity [19] valid for ten-dimensional Majorana-Weyl spinors (a Weyl projector is implicitly assumed to multiply the r.h.s. )…”

Section: A Conventions and Useful Identitiesmentioning

confidence: 99%

Supersymmetric non-abelian Born-Infeld revisited

Bergshoeff¹,

Roo²,

Bilal

et al. 2001

J. High Energy Phys.

124

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We determine the non-abelian Born-Infeld action, including fermions, as it results from the four-point tree-level open superstring scattering amplitudes at order α ′2 . We find that, after an appropriate field redefinition all terms at this order can be written as a symmetrised trace. We confront this action with the results that follow from kappa-symmetry and conclude that the recently proposed non-abelian kappa-symmetry cannot be extended to cubic orders in the Born-Infeld curvature.

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Section: A Conventions and Useful Identitiesmentioning

confidence: 99%

Supersymmetric non-abelian Born-Infeld revisited

Bergshoeff¹,

Roo²,

Bilal

et al. 2001

J. High Energy Phys.

124

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“…This symmetry should be a manifest off-shell symmetry of the CSG action under which only the scalar ϕ is transforming. Let us recall also that the CSG theory in 10 dimensions [27] contains the same fields as the (dual version of) N = 1, D = 10 supergravity (e A M , A M 1 ...M 6 , Φ; ψ M , χ) but the real scalar Φ and the Majorana spinor χ are subject to differential constraints. The D = 4 CSG scalar ϕ originates upon dimensional reduction from the real D = 10 scalar Φ and a component of A M 1 ...M 6 .…”

Section: Introductionmentioning

confidence: 99%

D = 4 super Yang-Mills, D = 5 gauged supergravity and D = 4 conformal supergravity

1998

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We consider the role of N = 4 conformal supergravity in the duality relation between N = 4 SYM theory and D = 5 gauged supergravity expanded near the Anti de Sitter background. We discuss the structure of the SYM effective action in the conformal supergravity background, in particular, terms related to conformal anomaly. Solving the leading-order Dirichlet problem for the metric perturbation in AdS background we explicitly compute the bilinear graviton term in the D = 5 Einstein action, demonstrating its equivalence to the linearized Weyl tensor squared part of the gravitational effective action induced by SYM theory. We also compute the graviton-dilaton-dilaton 3-point function which is found to have the form consistent with conformal invariance of the boundary theory.

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“…In ten dimensions, the gauge sector corresponds to SYM, while the gravity sector must be equivalent to the R 2 conformal supergravity studied by de Roo in [41] -see also [42] -, since the action presented in that paper is supposed to be unique.…”

Section: Connection To Witten's Twistor Stringmentioning

confidence: 99%

Ambitwistor formulations of R2 gravity and (DF)2 gauge theories

Azevedo

Engelund

2017

J. High Energ. Phys.

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We consider D-dimensional amplitudes in R 2 gravities (conformal gravity in D = 4) and in the recently introduced (DF ) 2 gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related through the BCJ double-copy construction, and the (DF ) 2 gauge theory obeys color-kinematics duality. We work out the worldsheet details of these theories and show that they admit a formulation as integrals on the support of the scattering equations, or alternatively, as ambitwistor string theories. For gravity, this generalizes the work done by Berkovits and Witten on conformal gravity to D dimensions. The ambitwistor is also interpreted as a D-dimensional generalization of Witten's twistor string (SYM + conformal supergravity). As part of our ambitwistor investigation, we discover another (DF ) 2 gauge theory containing a photon that couples to Einstein gravity. This theory can provide an alternative KLT description of Einstein gravity compared to the usual Yang-Mills squared.

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Conformal Supergravity in Ten Dimensions

Cited by 6 publications

References 1 publication

Supersymmetric non-abelian Born-Infeld revisited

Supersymmetric non-abelian Born-Infeld revisited

D = 4 super Yang-Mills, D = 5 gauged supergravity and D = 4 conformal supergravity

Ambitwistor formulations of R2 gravity and (DF)2 gauge theories

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