Results 1 to 10 of about 11,293 (226)
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]
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.
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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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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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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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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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The symplectic origin of conformal and Minkowski superspaces [PDF]
, 2015 Supermanifolds provide a very natural ground to understand and handle supersymmetry from a geometric point of view; supersymmetry in $d=3,4,6$ and $10$ dimensions is also deeply related to the normed division algebras. In this paper we want to show the
C̆ap A. +9 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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Minkowski superspaces and superstrings as almost real-complex supermanifolds [PDF]
Theoretical and mathematical physics, 2012 In 1996/7, J. Bernstein observed that smooth or analytic supermanifolds that mathematicians study are real or (almost) complex ones, while Minkowski superspaces are completely different objects. They are what we call almost real-complex supermanifolds, i.
A. A. Beilinson +29 more
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Quaternionic (super)twistors extensions and general superspaces [PDF]
, 2016 In a attempt to treat a supergravity as a tensor representation, the 4-dimensional N-extended quaternionic superspaces are constructed from the (diffeomorphyc)graded extension of the ordinary Penrose-twistor formulation, performed in a previous work of ...
Cirilo-Lombardo, Diego Julio +1 more
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