Ideas and Methods of Supersymmetry and Supergravity

Buchbinder, I. L.; Kuzenko, Sergei M.

doi:10.1887/0750305061

Cited by 304 publications

(502 citation statements)

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“…The results in (2.11) imply that for superconformal transformations R a β = R aβ = 0 and that in this case the variation of e a is homogeneous 13) since R a b = ∂ a h b . Using (2.8) for e 2 = e a e a therefore,…”

Section: Superconformal Transformationsmentioning

confidence: 97%

N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory

Osborn¹

1999

Annals of Physics

164

461

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The implications of N = 1 superconformal symmetry for four dimensional quantum field theories are studied. Superconformal covariant expressions for two and three point functions of quasi-primary superfields of arbitrary spin are found and connected with the operator product expansion. The general formulae are specialised to cases involving a scalar superfield L, which contains global symmetry currents, and the supercurrent, which contains the energy momentum tensor, and the consequences of superconformal Ward identities are analysed. The three point function of L is shown to have unique completely antisymmetric or symmetric forms. In the latter case the superspace version of the axial anomaly equation is obtained. The three point function for the supercurrent is shown to have two linearly independent forms. A linear combination of the associated coefficients for the general expression is shown to be related to the scale of the supercurrent two point function through Ward identities. The coefficients are given for the two free field superconformal theories and are also connected with the parameters present in the supercurrent anomaly for supergravity backgrounds. Superconformal invariants, which are possible even in three point functions, are discussed.

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Section: Superconformal Transformationsmentioning

confidence: 97%

N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory

Osborn¹

1999

Annals of Physics

164

461

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“…Note that 4D massive superfields that satisfy (2.58) or (2.59) would have superspin-3 2 [7,17]. We leave the investigation of the connection to massive 4D gauge theories to a future publication.…”

Section: Dynamical Identities:dαmentioning

confidence: 99%

“…When describing manifestly 5D Lorentz covariant objects we use capital calligraphic letters, A, B... to represent vector indices and tilde Greek letters,α,β..., to represent spinor indices. For all dimensionally reduced 4D objects we use the notation and conventions of [17], along with the identification a = αα.…”

Section: Introductionmentioning

confidence: 99%

Field Strengths of Linearized 5D,N= 1 Superfield Supergravity On a 3-Brane

Gates

Linch

Phillips

2005

J. High Energy Phys.

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“…This approach to supergravity is presented in [2], [3], [4]. Further details may be found in the textbooks [9], [10]. This applies also to the definition the supercovariant derivatives, denoted by 4) which are the covariant derivatives associated to the group of superdiffeomorphisms on curved superspace and which depend on H. Moreover it should be noted that throughout this paper we use the curved space chiral representation which is analogous to the flat space chiral representation in which all fieldsΦ are replaced by Φ = e iθσ aθ ∂aΦ .…”

Section: Symmetry Transformations Of the Fields 21 Superconformal Trmentioning

confidence: 99%

Superconformal transformation properties of the supercurrent

Erdmenger¹,

Rupp²,

Sibold³

2000

Nuclear Physics B

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We derive the superconformal transformation properties of the supercurrent for N = 1 supersymmetric QED in four dimensions within the superfield formalism. Superconformal Ward identities for Green functions involving insertions of the supercurrent are conveniently derived by coupling the supercurrent to the appropriate prepotential of a classical curved superspace background, and by combining superdiffeomorphisms and super Weyl transformations. We determine all superconformal anomalies of SQED on curved superspace within an all-order perturbative approach and derive a local Callan-Symanzik equation. Particular importance is given to the issue of gauge invariance.

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Ideas and Methods of Supersymmetry and Supergravity

Cited by 304 publications

References 0 publications

N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory

N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory

Field Strengths of Linearized 5D,N= 1 Superfield Supergravity On a 3-Brane

Superconformal transformation properties of the supercurrent

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