Supercurrents, renormalization and anomalies

Clark, T. J. H.; Piguet, O.; Sibold, Klaus

doi:10.1016/0550-3213(78)90064-0

Cited by 121 publications

(130 citation statements)

References 18 publications

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“…3 Unlike the conformal supercurrent, its non-conformal counterpart is not unique. The reason for this is that there may exist several inequivalent trace supermultiplets supported by different supersymmetric field theories [7]. For instance, another example of 4D N = 1 non-conformal supercurrents is [7][8][9] DαJ αα = χ α ,Dβχ α = 0 , D α χ α =Dαχα .…”

Section: Jhep02(2018)030mentioning

confidence: 99%

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Non-conformal supercurrents in six dimensions

Kuzenko

Novak

Theisen

2018

J. High Energ. Phys.

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Non-conformal supercurrents in six dimensions are described, which contain the trace of the energy-momentum tensor and the gamma-trace of the supersymmetry current amongst their component fields. Within the superconformal approach to N = (1, 0) supergravity, we present various distinct non-conformal supercurrents, one of which is associated with an O(2) (or linear) multiplet compensator, while another with a tensor multiplet compensator. We also derive an infinite class of non-conformal supercurrents involving O(n) multiplets with n > 2. As an illustrative example we construct the relaxed hypermultiplet in supergravity. Finally, we put forward a non-conformal supercurrent in the N = (2, 0) supersymmetric case.

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Section: Jhep02(2018)030mentioning

confidence: 99%

“…More recently, it was generalised [21] to the case of a special trace supermultiplet A αijk given by (2.11). 7 The SU(2) indices on any field are always assumed to be symmetrized.…”

Section: Non-conformal Supercurrents In Minkowski Superspacementioning

confidence: 99%

Non-conformal supercurrents in six dimensions

Kuzenko

Novak

Theisen

2018

J. High Energ. Phys.

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“…Since F F (x) itself is chirally invariant, the only way to obtain it as the chiral variation of another operator is by adding a real scalar field φ(x) transforming as 10) where the constant v has mass dimension one. Adding the new external field changes the cohomological problem.…”

Section: An Examplementioning

confidence: 99%

“…Now, because of their different sets of auxiliary fields and different supergravity transformations rules, the two off-shell formulations define two different current algebras. The main difference is that the new minimal current algebra [3,10] requires the conservation of the axial current whereas the old minimal current algebra [7] does not. As a result, the Ward identities of the two formulations have different content.…”

Section: New Minimal Supergravitymentioning

confidence: 99%

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Compensating fields and anomalies in supergravity

Shamir

1993

Nuclear Physics B

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We discuss the quantization of theories which are formulated using compensating fields. In particular, we discuss the relation between the components formulation and the superspace formulation of supergravity theories. The requirement that the compensating field can be eliminated at the quantum level gives rise to on-shell constraints on the operators of the theory. In some cases, the constraints turn out to be physically unacceptable. Using these considerations we show that new minimal supergravity is in general anomalous.

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Konishi anomalies and N = 1 curves

Landsteiner

2005

Fortschritte der Physik

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We present a brief summary of exact results on the non-perturbative effective superpotential of N = 1 supersymmetric gauge theories based on generalized Konishi anomaly equations. In particular we consider theories with classical gauge groups and chiral matter in two-index tensor representations. All these theories can be embedded into theories with unitary gauge group and adjoint matter. This embedding can be used to derive expressions for the exact non-perturbative superpotential in terms of the 1/N expansion of the free energy of the related matrix models.

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Supercurrents, renormalization and anomalies

Cited by 121 publications

References 18 publications

Non-conformal supercurrents in six dimensions

Non-conformal supercurrents in six dimensions

Compensating fields and anomalies in supergravity

Konishi anomalies and N = 1 curves

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