Superforms in six-dimensional superspace

For supersymmetric gauge theories with eight supercharges in four, five and six dimensions, a conserved current belongs to the linear multiplet. In the case of sixdimensional N = (1, 0) Poincaré supersymmetry, we present a consistent deformation of the linear multiplet which describes chiral anomalies. This is achieved by developing a superform formulation for the deformed linear multiplet. In the abelian case, we compute a nonlocal effective action generating the gauge anomaly.

Section: Conventional Superspace Formulationmentioning

confidence: 98%

The anomalous current multiplet in 6D minimal supersymmetry

Kuzenko

Novak

Samsonov

2016

“…All remaining Bianchi identities are then satisfied, with the dimension-5 condition coming from 35) where G stands for the bosonic Hodge dual of the 4-form components Gâbĉd.…”

Section: The Five-dimensional 4-and 5-formsmentioning

confidence: 99%

“…The observation is that the five-dimensional, N = 1 de Rham complex has a simple interpretation as a specific part of the dimensional reduction of of the six-dimensional, N = (1, 0) de Rham complex studied in [34,35]. To see this, consider the generic form of a Bianchi identity for a closed…”

Section: Dimensional Reductionmentioning

confidence: 99%

Superforms in five-dimensional, N = 1 superspace

Gates

Linch

Randall

2015

Self Cite

Abstract:We examine the five-dimensional super-de Rham complex with N = 1 supersymmetry. The elements of this complex are presented explicitly and related to those of the six-dimensional complex in N = (1, 0) superspace through a specific notion of dimensional reduction. This reduction also gives rise to a second source of five-dimensional supercocycles that is based on the relative cohomology of the two superspaces. In the process of investigating these complexes, we discover various new features including branching and fusion (loops) in the super-de Rham complex, a natural interpretation of "Weil triviality", p-cocycles that are not supersymmetric versions of closed bosonic p-forms, and the opening of a "gap" in the complex for D > 4 in which we find a multiplet of superconformal gauge parameters.

“…The action for the relaxed hypermultiplet may be described in a covariant way using the primary superform action [41,48], which is built out of a primary superfield A α ijk . 17 It satisfies the differential constraint…”

Section: Jhep02(2018)030mentioning

confidence: 99%

“…The constraints (3.3) and (3.4) are exactly the primary constraints that ensure H αβij describes the lowest dimension component of a closed four-form [48].…”

Section: Jhep02(2018)030mentioning

confidence: 99%

Non-conformal supercurrents in six dimensions

Kuzenko

Novak

Theisen

2018

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.