Results 1 to 10 of about 375 (140)

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
exaly   +2 more sources

Topologies on superspaces of TVS-cone metric spaces. [PDF]

ScientificWorldJournal, 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.
Ge X, Lin S.
europepmc   +2 more sources

Kinematical superspaces

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, José Miguel Figueroa-O'Farrill, José Figueroa-O’Farrill   +2 more
exaly   +3 more sources

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
Yangrui Hu, S James Gates
exaly   +2 more sources

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.
Sylvester Gates, S N Hazel Mak, Yangrui Hu   +2 more
exaly   +2 more sources

New superparticle models in AdS superspaces

Journal of High Energy Physics
Recently, 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 Raptakis, Nowar Koning
exaly   +2 more sources

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, Gabriele Tartaglino-Mazzucchelli   +1 more
doaj   +1 more source

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
doaj   +1 more source

Holomorphic superspace [PDF]

Journal of High Energy Physics, 2008
17 pages, revised ...
Baulieu, Laurent, Martin, Alexis
openaire   +4 more sources

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, Etera R. Livine, Daniele Oriti, Goffredo Piani   +3 more
doaj   +1 more source