Correlation functions of conserved currents in calN = 2 superconformal theory

Kuzenko, Sergei M.; Theisen, Stefan

doi:10.1088/0264-9381/17/3/307

Cited by 156 publications

(296 citation statements)

References 70 publications

(191 reference statements)

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“…The strongest point of the harmonic-superspace approach to N = 2 supergravity [13,11] is a remarkably simple structure of the supergravity prepotentials. In particular, the latter approach provides a natural origin for the real scalar prepotenial that generates the N = 2 supercurrent [44,28]. It would be important to understand how such a prepotential originates within the projective-superspace scheme.…”

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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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: Supergravity-matter Systems With Polar Compensatormentioning

confidence: 99%

On supergravity and projective superspace: Dual formulations

Kuzenko

2009

Nuclear Physics B

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“…Under an arbitrary superspace coordinate transformation, 21) so that the exterior derivative is left invariant 22) where R M N (z) is a (3 + 2N ) × (3 + 2N ) supermatrix of the form…”

Section: Three-dimensional Superspacementioning

confidence: 99%

“…In fact within the formalism Osborn elaborated the analysis of N = 1 superconformal symmetry for fourdimensional quantum field theories [20], and recently Kuzenko and Theisen determine the general structure of two-and three-point functions of the supercurrent and the flavour current of N = 2 superconformal field theories [21]. A common result contained in Refs.…”

Section: Introductionmentioning

confidence: 98%

Superconformal symmetry in three dimensions

Park

2000

Journal of Mathematical Physics

103

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Three-dimensional N -extended superconformal symmetry is studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms of supertranslations, dilations, Lorentz transformations, Rsymmetry transformations and special superconformal transformations. Superconformal group is then identified with a supermatrix group, OSp(N |2, R), as expected from the analysis on simple Lie superalgebras. In general, due to the invariance under supertranslations and special superconformal transformations, superconformally invariant n-point functions reduce to one unspecified (n − 2)-point function which must transform homogeneously under the remaining rigid transformations, i.e. dilations, Lorentz transformations and R-symmetry transformations. After constructing building blocks for superconformal correlators, we are able to identify all the superconformal invariants and obtain the general form of n-point functions. Superconformally covariant differential operators are also discussed.

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“…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]. This paper is organized as follows.…”

Section: Introductionmentioning

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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Correlation functions of conserved currents in calN = 2 superconformal theory

Cited by 156 publications

References 70 publications

On supergravity and projective superspace: Dual formulations

On supergravity and projective superspace: Dual formulations

Superconformal symmetry in three dimensions

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

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