Field theories with (2,0) AdS supersymmetry in 
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 AdS superspace

Hutomo, Jessica; Kuzenko, Sergei M.

doi:10.1103/physrevd.100.045010

Cited by 8 publications

(2 citation statements)

References 102 publications

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“…For this purpose AdS D space is a natural choice, since it is generically compatible with supersymmetry, unlike de Sitter spaces (see [71] for a recent discussion on higher spin theories on dS 4 ). Again, despite the recent progress in studies of supersymmetric higher spin models on AdS backgrounds [69]- [70], the higher dimensional generalizations are not known.…”

Section: Discussionmentioning

confidence: 99%

Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions

Buchbinder,

Krykhtin,

Tsulaia

et al. 2021

Preprint

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Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N = 1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such an approach allows formulation of the equations for cubic vertices including bosonic and fermionic higher spin fields, and the problem of finding the vertices is reduced to finding the consistent solutions to these equations. As a realization of this procedure, we present the particular solutions for the vertices where the fields obey some off-shell constraints. It is shown that the supersymmetry imposes additional constraints on the vertices and singles out a particular subclass of the solutions. As a concrete application of the generic scheme, we consider supersymmetric Yang-Mills-like systems in four, six and ten dimensions where the higher spin fields transform under some internal symmetry group, as well as supergravity-like systems in the same dimensions.

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Section: Discussionmentioning

confidence: 99%

Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions

Buchbinder,

Krykhtin,

Tsulaia

et al. 2021

Preprint

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“…As an explicit example of super non-Abelian T-duality, we shall now consider the principal chiral model for the orthosymplectic group OSpp1|2q. The interest in this supergroup manifold is due to its interpretation as an N " 1 supersymmetric AdS 3 , and as such, it represents an appropriate background for three-dimensional supergravity [68,47,48,[69][70][71],…”

Section: Example: Ospp1|2q Principal Chiral Modelmentioning

confidence: 99%

Super Non-Abelian T-Duality

Bielli¹,

Penati²,

Sorokin³

et al. 2021

Preprint

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We analyse super non-Abelian T-duality for principal chiral models, symmetric space sigma models, and semi-symmetric space sigma models for general Lie supergroups. This includes T-duality along both bosonic and fermionic directions. Specifically, super non-Abelian T-duality exchanges the Maurer-Cartan equations with the equations of motion thus mapping integrable models into integrable models. This, in turn, allows us to construct the T-dual Lax connections. As a prime example, we analyse the OSpp1|2q principal chiral model, and whilst the target superspace of this model is a three-dimensional supergravity background, we argue that its super non-Abelian T-dual falls outside the class of such backgrounds.

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