Results 1 to 10 of about 8,338 (159)
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
José Figueroa-O’Farrill, Ross Grassie
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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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Supertwistor realisations of AdS superspaces [PDF]
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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Embedding formalism for (p, q) AdS superspaces in three dimensions [PDF]
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, Kai Turner
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Schrödinger Symmetry in Gravitational Mini-Superspaces [PDF]
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 [PDF]
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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Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces [PDF]
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. James Gates +2 more
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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 ...
Nowar E. Koning +1 more
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Noncommutative spaces and superspaces from Snyder and Yang type models [PDF]
Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021), 2022 The relativistic 𝐷 = 4 Snyder model is formulatedin terms of 𝐷 = 4 𝑑𝑆 algebra 𝑜 ( 4 , 1 ) generators, with noncommutative Lorentz-invariant Snyder quantum space-time provided by 𝑂 ( 4 , 1 ) 𝑂 ( 3 , 1 ) coset generators. Analogously, in relativistic 𝐷 = 4
J. Lukierski, M. Woronowicz
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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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