Scalar tensor duality and N = 1,2 non-linear σ-models

Lindström, Ulf; Roček, Martin

doi:10.1016/0550-3213(83)90638-7

Cited by 302 publications

(471 citation statements)

References 17 publications

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“…This model describes a massive improved tensor multiplet. In the rigid supersymmetric case, it was introduced in [40] in terms of N = 1 superfields (as a model for N = 2 supersymmetric QED), then in [43] in terms of ordinary N = 2 superfields, and later its description in N = 2 projective superspace was given [44].…”

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

“…The improved N = 2 tensor multiplet 6 [21,40,7,41] occurs as a conformal compensator in one of the off-shell formulations for 4D N = 2 Poincaré supergravity which was developed in [21] using the N = 2 superconformal tensor calculus. Here we start by presenting a curved superspace realization for the improved tensor multiplet, building on the rigid projective superspace formulation for this multiplet given in [7].…”

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

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On supergravity and projective superspace: Dual formulations

Kuzenko

2009

Nuclear Physics B

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The superspace formulation for four-dimensional N = 2 matter-coupled supergravity recently developed in [1] makes use of a new type of conformal compensator with infinitely many off-shell degrees of freedom: the so-called covariant weight-one polar hypermultiplet. In the present note we prove the duality of this formulation to the known minimal (40 + 40) off-shell realization for N = 2 Poincaré supergravity involving the improved tensor compensator. Within the latter formulation, we present new off-shell matter couplings realized in terms of covariant weight-zero polar hypermultiplets. We also elaborate upon the projective superspace description of vector multiplets in N = 2 conformal supergravity. An alternative superspace representation for locally supersymmetric chiral actions is given. We present a model for massive improved tensor multiplet with both "electric" and "magnetic" types of mass terms.

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Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

Section: Massless and Massive Improved Tensor Multipletsmentioning

confidence: 99%

On supergravity and projective superspace: Dual formulations

Kuzenko

2009

Nuclear Physics B

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“…Our next example is a naive 5D generalisation of the 4D N = 2 improved tensor multiplet [51,52,7] which was described in the harmonic superspace approach in [53,6]. Let us consider the action…”

Section: Models In Harmonic Superspacementioning

confidence: 99%

On compactified harmonic/projective superspace, 5D superconformal theories, and all that

Kuzenko

2006

Nuclear Physics B

160

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Within the supertwistor approach, we analyse the superconformal structure of 4D N = 2 compactified harmonic/projective superspace. In the case of 5D superconformal symmetry, we derive the superconformal Killing vectors and related building blocks which emerge in the transformation laws of primary superfields. Various off-shell superconformal multiplets are presented both in 5D harmonic and projective superspaces, including the so-called tropical (vector) multiplet and polar (hyper)multiplet. Families of superconformal actions are described both in the 5D harmonic and projective superspace settings. We also present examples of 5D superconformal theories with gauged central charge.

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“…The metric on M k,l can be constructed via the generalised Legendre transform of Lindström and Roček [26,27], analogously to the monopole metric [18,19,23]. This, and further twistor constructions, will be discussed elsewhere.…”

Section: 2mentioning

confidence: 99%