Results 1 to 10 of about 310 (71)
Topologies on Superspaces of TVS-Cone Metric Spaces [PDF]
The Scientific World Journal, 2014 This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively.
Xun Ge, Shou Lin
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Embedding Formalism for (p, q) AdS Superspaces in Three Dimensions
Journal of High Energy Physics, 2023 We develop an embedding formalism for (p, q) anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out.
Sergei M Kuzenko
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Journal of High Energy Physics, 2019 We classify N =1 d = 4 kinematical and aristotelian Lie superalgebras with spa- tial isotropy, but not necessarily parity nor time-reversal invariance. Employing a quater- nionic formalism which makes rotational covariance manifest and simplifies many of
Ross Grassie +1 more
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Weyl Covariance, and Proposals for Superconformal Prepotentials in 10D Superspaces
Journal of High Energy Physics, 2021 Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives ∇ A , the torsion supertensors T AB C , and curvature supertensors R ABc d in 10D superspaces. Starting from the proposal that an unconstrained supergravity
S N Hazel Mak, Yangrui Hu, James S Gates
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Component Decompositions and Adynkra Libraries for Supermultiplets in Lower Dimensional Superspaces
Journal of High Energy Physics, 2021 We present Adynkra Libraries that can be used to explore the embedding of multiplets of component field (whether on-shell or partial on-shell) within Salam-Strathdee superfields for theories in dimension nine through four.
Gates SJ Jr, S N Hazel Mak, Yangrui Hu
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New Superparticle Models in AdS Superspaces
Journal of High Energy PhysicsRecently, new superparticle models have been proposed in the $$\mathcal{N}$$ -extended four and five-dimensional anti-de Sitter (AdS) superspaces, $${\text{AdS}}^{4|4\mathcal{N}}$$ and $${\text{AdS}}^{5|8\mathcal{N}}$$ , making use of a unique quadratic ...
Emmanouil S N Raptakis, Nowar E Koning
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Supertwistor realisations of AdS superspaces
European Physical Journal C: Particles and Fields, 2022 We propose supertwistor realisations of (p, q) anti-de Sitter (AdS) superspaces in three dimensions and $${\mathcal {N}}$$ N -extended AdS superspaces in four dimensions.
Sergei M. Kuzenko +1 more
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Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces
Physics Letters B, 2022 The relativistic Lorentz-covariant quantum space-times obtained by Snyder can be described by the coset generators of (anti) de-Sitter algebras. Similarly, the Lorentz-covariant quantum phase spaces introduced by Yang, which contain additionally quantum ...
Jerzy Lukierski, Mariusz Woronowicz
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Schrödinger Symmetry in Gravitational Mini-Superspaces
Universe, 2023 We prove that the simplest gravitational symmetry-reduced models describing cosmology and black hole mechanics are invariant under the Schrödinger group.
Jibril Ben Achour +3 more
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Superspaces for heterotic pure spinor string compactifications
European Physical Journal C: Particles and Fields, 2022 We study supersymmetry conditions for the heterotic pure superstring preserving $$N=1$$ N = 1 supersymmetry in four dimensions directly from the curved superspace defined by the Berkovits–Howe constraints.
Osvaldo Chandia, Brenno Carlini Vallilo
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