Higher order invariants in extended supergravity

Howe, Paul; Lindström, Ulf

doi:10.1016/0550-3213(81)90537-x

Cited by 152 publications

(238 citation statements)

References 16 publications

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“…11 then has the regulated numerator factor, 17) for the snail graph 83. Here k 2 4 should not be set to zero until after this factor has canceled the 1/k 2 4 propagator of the graph.…”

Section: Resolving the Snailsmentioning

confidence: 99%

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Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes

et al. 2012

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We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N = 4 super-Yang-Mills theory, including the nonplanar contributions. The duality completely determines the amplitude's integrand in terms of just two planar graphs. The existence of a manifestly dual gauge-theory amplitude trivializes the construction of the corresponding N = 8 supergravity integrand, whose graph numerators are double copies (squares) of the N = 4 super-Yang-Mills numerators. The success of this procedure provides further nontrivial evidence that the duality and double-copy properties hold at loop level. The new form of the four-loop four-point supergravity amplitude makes manifest the same ultraviolet power counting as the corresponding N = 4 super-Yang-Mills amplitude. We determine the amplitude's ultraviolet pole in the critical dimension of D = 11/2, the same dimension as for N = 4 super-Yang-Mills theory. Strikingly, exactly the same combination of vacuum integrals (after simplification) describes the ultraviolet divergence of N = 8 supergravity as the subleading-in-1/N 2 c single-trace divergence in N = 4 super-Yang-Mills theory.

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“…11 then has the regulated numerator factor, 17) for the snail graph 83. Here k 2 4 should not be set to zero until after this factor has canceled the 1/k 2 4 propagator of the graph.…”

Section: Resolving the Snailsmentioning

confidence: 99%

“…There have been several recent reviews of the situation [13]. Long ago, an N = 8 supersymmetric local counterterm at three loops in D = 4 was proposed [14][15][16][17][18]. An explicit computation of the three-loop four-graviton amplitude first revealed that the counterterm has a vanishing coefficient [9].…”

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confidence: 99%

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes

et al. 2012

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“…On shell superspace [12,13] which is a basis for constructing the N-extended supergravity counterterms in [3,4,11,14] describes only the physical states of the theory, satisfying classical EOM. This means in the context of N=2 on shell superspace the auxiliary fields take the values satisfying their classical EOM…”

Section: Auxiliary Fields and Deformationmentioning

confidence: 99%

“…We will provide an explicit non-vanishing expressions for these terms which are not available in the on shell superspace construction [12,13] and in the corresponding on shell counterterms [3,11,14]. In N=2 such a consistent all order in λ deformation reconstructing the supersymmetry broken by the on shell counterterm is possible since the genuine supersymmetric action and susy rules are known in the closed form, before the auxiliary fields are replaced by their λ-dependent values.…”

Section: Introductionmentioning

confidence: 99%

“…Fully non-linear candidate counterterms starting from L=N number of loops were constructed in [3,11] based on the Lorentz covariant on shell 1 N-extended superspace geometry [12,13]. The complete non-linear version of the candidate R 4 counterterm in N=4 supergravity was constructed only recently in [14], just in time to be ruled out half a year later as a UV divergence of the 3-loop N = 4 supergravity [15,16].…”

Section: Introductionmentioning

confidence: 99%

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N=2 supergravity counterterms, off and on shell

Chemissany

Ferrara

Каллош

et al. 2012

J. High Energ. Phys.

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We study N=2 supergravity deformed by a genuine supersymmetric completion of the λR 4 term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2 supergravity with higher derivative deformation. Elimination of auxiliary fields leads to the deformation of the supersymmetry rules as well as to the deformation of the action, which becomes a Born-Infeld with higher derivative type action. We find that the gravitino supersymmetry deformation starts from λ ∂ 4 F 3 and has higher graviphoton couplings. In the action there are terms λ 2 ∂ 8 F 6 and higher, in addition to original on shell counterterm deformation. These deformations are absent in the on shell superspace and in the candidate on shell counterterms of N=4, 8 supergravities, truncated down to N=2. We conclude therefore that the undeformed on shell superspace candidate counterterms break the N=2 part of local supersymmetry.

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Unified Field Theories

Murayama

2003

Digital Encyclopedia of Applied Physics

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Higher order invariants in extended supergravity

Cited by 152 publications

References 16 publications

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes

N=2 supergravity counterterms, off and on shell

Unified Field Theories

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