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

Kuzenko, Sergei M.

doi:10.1016/j.nuclphysb.2006.03.019

Cited by 79 publications

(166 citation statements)

References 66 publications

(144 reference statements)

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“…The representations (2.8a) and (2.8b) generalize similar results in the 5D N = 1 flat [32] and Anti-de Sitter [33] superspaces.…”

Section: Vector Multiplets In Conformal Supergravitysupporting

confidence: 70%

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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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“…The representations (2.8a) and (2.8b) generalize similar results in the 5D N = 1 flat [32] and Anti-de Sitter [33] superspaces.…”

Section: Vector Multiplets In Conformal Supergravitysupporting

confidence: 70%

“…Its hypermultiplet sector is a curved-space version of the general 4D N = 2 superconformal sigma-model for polar multiplets proposed in [6] (building on the 5D N = 1 construction of [32]). …”

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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“…They were introduced in [14] under the name covariant projective supermultiplets. These supermultiplets are a curved-superspace extension of the 5D superconfomal projective multiplets [20]. The latter are ordinary projective supermultiplets [18] with respect to the super-Poincaré subgroup of the 5D superconformal group.…”

Section: Kinematics and Dynamics In Curved Projective Superspacementioning

confidence: 99%

“…Note that S(L ++ ) is invariant under arbitrary re-scalings u + i (t) → c(t) u + i (t), ∀c(t) ∈ C \ {0}, where t denotes the evolution parameter along the integration contour. The action can be shown to be invariant under supergravity gauge transformations (3) and (20), see [14,13]. To see that S(L ++ ) is invariant under super-Weyl transformations, one has only to note that δ σ E = −2σE and make use of the transformation rules δ σ L ++ = 6σL ++ , δ σ W = 2σW and δ σ G ++ = 6σG ++ .…”

Section: Kinematics and Dynamics In Curved Projective Superspacementioning

confidence: 99%

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Wandering in five‐dimensional curved superspace

Kuzenko

Tartaglino‐Mazzucchelli

2008

Fortschritte der Physik

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Covariant Superspace Approaches to $$\mathscr {N}=\text{2}$$ Supergravity

Kuzenko,

Raptakis,

Tartaglino-Mazzucchelli

2023

Handbook of Quantum Gravity

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We develop a superspace formulation for N = 3 conformal supergravity in four spacetime dimensions as a gauge theory of the superconformal group SU(2, 2|3). Upon imposing certain covariant constraints, the algebra of conformally covariant derivatives) is shown to be determined in terms of a single primary chiral spinor superfield, the super-Weyl spinor W α of dimension +1/2 and its conjugate. Associated with W α is its primary descendant B i j of dimension +2, the super-Bach tensor, which determines the equation of motion for conformal supergravity. As an application of this construction, we present two different but equivalent action principles for N = 3 conformal supergravity. We describe the model for linearised N = 3 conformal supergravity in an arbitrary conformally flat background and demonstrate that it possesses U(1) duality invariance. Additionally, upon degauging certain local symmetries, our superspace geometry is shown to reduce to the U(3) superspace constructed by Howe more than four decades ago. Further degauging proves to lead to a new superspace formalism, called SU(3) superspace, which can also be used to describe N = 3 conformal supergravity. Our conformal superspace setting opens up the possibility to formulate the dynamics of the off-shell N = 3 super Yang-Mills theory coupled to conformal supergravity.

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

Cited by 79 publications

References 66 publications

On supergravity and projective superspace: Dual formulations

On supergravity and projective superspace: Dual formulations

Wandering in five‐dimensional curved superspace

Covariant Superspace Approaches to $$\mathscr {N}=\text{2}$$ Supergravity

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