$$\mathscr {N}\,{=}\,2$$ Supergravities in Harmonic Superspace

Ivanov, Evgeny

doi:10.1007/978-981-19-3079-9_43-1

Handbook of Quantum Gravity 2023

DOI: 10.1007/978-981-19-3079-9_43-1

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$$\mathscr {N}\,{=}\,2$$ Supergravities in Harmonic Superspace

Evgeny Ivanov

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2024

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Cited by 2 publications

References 74 publications

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$$ \mathcal{N} $$ = 2 superconformal higher-spin multiplets and their hypermultiplet couplings

Buchbinder,

Ivanov,

Zaigraev

2024

J. High Energ. Phys.

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We construct an off-shell $$ \mathcal{N} $$ N = 2 superconformal cubic vertex for the hypermultiplet coupled to an arbitrary integer higher spin s gauge $$ \mathcal{N} $$ N = 2 supermultiplet in a general $$ \mathcal{N} $$ N = 2 conformal supergravity background. We heavily use $$ \mathcal{N} $$ N = 2, 4D harmonic superspace that provides an unconstrained superfield Lagrangian description. We start with $$ \mathcal{N} $$ N = 2 global superconformal symmetry transformations of the free hypermultiplet model and require invariance of the cubic vertices of general form under these transformations and their gauged version. As a result, we deduce $$ \mathcal{N} $$ N = 2, 4D unconstrained analytic superconformal gauge potentials for an arbitrary integer s. These are the basic ingredients of the approach under consideration. We describe the properties of the gauge potentials, derive the corresponding superconformal and gauge transformation laws, and inspect the off-shell contents of the thus obtained $$ \mathcal{N} $$ N = 2 superconformal higher-spin s multiplets in the Wess-Zumino gauges. The spin s multiplet involves 8(2s− 1)B + 8(2s− 1)F essential off-shell degrees of freedom. The cubic vertex has the generic structure higher spin gauge superfields × hypermultiplet supercurrents. We present the explicit form of the relevant supercurrents.

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$$ \mathcal{N} $$ = 2 superconformal higher-spin multiplets and their hypermultiplet couplings

Buchbinder,

Ivanov,

Zaigraev

2024

J. High Energ. Phys.

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Covariant quantisation of tensor multiplet models

Kuzenko,

Raptakis

2024

J. High Energ. Phys.

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The Batalin-Vilkovisky formalism is applied to quantise the $$ \mathcal{N} $$ N = 1 supersymmetric generalisation of the Freedman-Townsend (FT) model, which was proposed by Lindström and Roček in 1983 in Minkowski superspace and is lifted to a supergravity background in this paper. This super FT theory describes a non-Abelian tensor multiplet and is known to be classically equivalent to a supersymmetric nonlinear sigma model. Using path integral considerations, we demonstrate that this equivalence holds at the quantum level in the sense that the quantum supercurrents in the two theories coincide. A modified Faddeev-Popov procedure is employed to quantise models for the $$ \mathcal{N} $$ N = 2 tensor multiplet in harmonic superspace. The obtained results agree with those derived by applying the Batalin-Vilkovisky scheme within the harmonic superspace setting.

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$$\mathscr {N}\,{=}\,2$$ Supergravities in Harmonic Superspace

Cited by 2 publications

References 74 publications

$$ \mathcal{N} $$ = 2 superconformal higher-spin multiplets and their hypermultiplet couplings

$$ \mathcal{N} $$ = 2 superconformal higher-spin multiplets and their hypermultiplet couplings

Covariant quantisation of tensor multiplet models

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