Results 31 to 40 of about 51,994 (290)

N = 4 near-horizon geometries in D = 11 supergravity

Journal of High Energy Physics, 2021
Extreme near-horizon geometries in D = 11 supergravity preserving four supersymmetries are classified. It is shown that the Killing spinors fall into three possible orbits, corresponding to pairs of spinors defined on the spatial cross-sections of the ...
D. Farotti, J. Gutowski
doaj   +1 more source

Transverse Killing and twistor spinors associated to the basic Dirac operators

, 2013
We study the interplay between basic Dirac operator and transverse Killing and twistor spinors. In order to obtain results for general Riemannian foliations with bundle-like metric we consider transverse Killing spinors that appear as natural extension ...
Ionescu, Adrian Mihai, Slesar, Vladimir, Vilcu, Gabriel-Eduard, Visinescu, Mihai   +3 more
core   +1 more source

Extended superalgebras from twistor and Killing spinors

, 2017
The basic first-order differential operators of spin geometry that are Dirac operator and twistor operator are considered. Special types of spinors defined from these operators such as twistor spinors and Killing spinors are discussed. Symmetry operators
Ertem, Ümit
core   +1 more source

Questing for Algebraic Mass Dimension One Spinor Fields [PDF]

, 2015
This work deals with new classes of spinors of mass dimension one in Minkowski spacetime. In order to accomplish it, the Lounesto classification scheme and the inversion theorem are going to be used.
da Rocha, Roldao, da Silva, J. M. Hoff, Villalobos, C. H. Coronado   +2 more
core   +2 more sources

On spinors transformations [PDF]

Journal of Mathematical Physics, 2016
We begin showing that for even dimensional vector spaces V all automorphisms of their Clifford algebras are inner. So all orthogonal transformations of V are restrictions to V of inner automorphisms of the algebra. Thus under orthogonal transformations P and T—space and time reversal—all algebra elements, including vectors v and spinors φ, transform as
openaire   +3 more sources

Flag-dipole spinors: On the dual structure derivation and $${\mathcal {C}}$$ C , $${\mathcal {P}}$$ P and $${\mathcal {T}}$$ T symmetries

European Physical Journal C: Particles and Fields, 2020
In this manuscript we report the flag-dipole spinors dual structure direct definition and analyze the properties behind the corresponding operator which generates such structure.
R. J. Bueno Rogerio, A. R. Aguirre, C. H. Coronado Villalobos   +2 more
doaj   +1 more source

Spinors from Pure Spinors

The Quarterly Journal of Mathematics
ABSTRACT We propose and develop a new method to classify orbits of the spin group ${\rm Spin}(2d)$ in the space of its semi-spinors. The idea is to consider spinors as being built as a linear combination of their pure constituents. As is well-known, two pure spinors can sum up to a pure spinor.
Niren Bhoja, Kirill Krasnov
openaire   +2 more sources

On the geometry and quantum theory of regular and singular spinors

Physics Letters B
We relate the Lounesto classification of regular and singular spinors to the orbits of the Spin(3,1) group in the space of Dirac spinors. We find that regular spinors are associated with the principal orbits of the spin group while singular spinors are ...
G. Papadopoulos
doaj   +1 more source

Elko under spatial rotations

, 2019
Under a rotation by an angle $\vartheta$, both the right- and left- handed Weyl spinors pick up a phase factor ${\exp(\pm\, i \vartheta/2)}$. The upper sign holds for the positive helicity spinors, while the lower sign for the negative helicity spinors ...
Ahluwalia, Dharam Vir, Sarmah, Sweta
core   +1 more source

Spinor Equations of Smarandache Curves in E³

Mathematics
This study examines the spinor representations of TN (tangent and normal), NB (normal and binormal), TB (tangent and binormal) and TNB (tangent, normal and binormal)–Smarandache curves in three-dimensional Euclidean space E3.
Zeynep İsabeyoǧlu, Tülay Erişir, Ayşe Zeynep Azak   +2 more
doaj   +1 more source