Results 1 to 10 of about 626 (180)

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   +4 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   +3 more sources

Kinematical superspaces [PDF]

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   +1 more
exaly   +4 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   +2 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
S James Gates, Yangrui Hu, S -N Hazel Mak   +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 S N Raptakis
exaly   +2 more sources

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

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

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
doaj   +1 more source

Supersymmetric quantum chiral higher spin gravity

Journal of High Energy Physics, 2022
We study quantum properties of supersymmetric N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs).
Mirian Tsulaia, Dorin Weissman
doaj   +1 more source