<i>Ideas and Methods of Supersymmetry and Supergravity, or a Walk Through Superspace</i>

Buchbinder, I. L.; Kuzenko, Sergei M.; Gates, S. James

doi:10.1063/1.2807514

Cited by 438 publications

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“…3 The "standard" minimal formulation for N = 2 Poincaré supergravity [19,16] is analogous to the N = N = 2 vector multiplet action in conformal supergravity. Our two-component notation and conventions follow [29], and these are almost identical to those adopted in [30].…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

“…It is instructive to compare (3.14) and (3.23) to the well-known descriptions of matter couplings in the new minimal and the old minimal formulations for N = 1 supergravity (see, e.g., [29] for a review). The action for the matter-coupled new minimal supergravity is as follows:…”

Section: Supergravity-matter Systems With Polar Compensatormentioning

confidence: 99%

On supergravity and projective superspace: Dual formulations

Kuzenko

2009

Nuclear Physics B

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“…It is convenient to describe this theory in terms of N = 1 superfields [2,3]. Then in the massless limit the action of N = 1 SQED is written as…”

Section: Introductionmentioning

confidence: 99%

“…Investigations of SUSY models reveal interesting theoretical features (see e.g. [2,3,4]). Among them is the finiteness of the N = 4 supersymmetric Yang Mills (SYM) theory.…”

Section: Introductionmentioning

confidence: 99%

NSVZ scheme with the higher derivative regularization for SQED

2013

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The exact NSVZ relation between a β-function of N = 1 SQED and an anomalous dimension of the matter superfields is studied within the Slavnov higher derivative regularization approach. It is shown that if the renormalization group functions are defined in terms of the bare coupling constant, this relation is always valid. In the renormalized theory the NSVZ relation is obtained in the momentum subtraction scheme supplemented by a special finite renormalization. Unlike the dimensional reduction, the higher derivative regularization allows to fix this finite renormalization. This is made by imposing the conditions Z 3 (α, µ = Λ) = 1 and Z(α, µ = Λ) = 1 on the renormalization constants of N = 1 SQED, where Λ is a parameter in the higher derivative term. The results are verified by the explicit three-loop calculation. In this approximation we relate the DR scheme and the NSVZ scheme defined within the higher derivative approach by the finite renormalization.

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“…However, since we are aiming at future applications to brane-world physics, a more pragmatic course is chosen here, which is based on the introduction of the relevant superconformal Killing vectors and elaborating associated building blocks. The concept of superconformal Killing vectors [28,29,30,31,32,21,33], has proved to be extremely useful for various studies of superconformal theories in four and six dimensions, see e.g. [34,35,36].…”

Section: Introductionmentioning

confidence: 99%

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

Kuzenko

2006

Nuclear Physics B

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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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Ideas and Methods of Supersymmetry and Supergravity, or a Walk Through Superspace

Cited by 438 publications

References 0 publications

On supergravity and projective superspace: Dual formulations

On supergravity and projective superspace: Dual formulations

NSVZ scheme with the higher derivative regularization for SQED

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

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