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==Representation via Weyl spinors== ...<math>\omega^A</math> and <math>\pi_{A'}</math> are two-component complex spinors for the Lorentz group <math>SL(2,\mathbb C)</math>. ...

{{Short description|Formula for spinors}} ...ntial equation]]s, results concerning the scalar curvature, and results on spinors and spin structures. ...

{{Short description|Matrices used for Lorentz group spinors}} ...iplication]] of covectors on left handed [[spinors]] giving a right-handed spinors or vice versa, i.e. they are off diagonal blocks of [[gamma matrices]]. The ...

...first2=J. | title=Spontaneously broken supergauge symmetries and goldstone spinors | journal=Physics Letters B | publisher=Elsevier BV | volume=51 | issue=5 | ...

| title = Spinors and Calibrations ...

spinors]]: [[Thomas Friedrich]] and Ralf Grunewald showed that a 6-dimensional Riem ...en a more fundamental explanation <ref>Bär, Christian (1993) Real Killing spinors and holonomy. Comm. Math. Phys. 154, 509–521.</ref> by Christian Bär, who p ...

...tion, described by a [[bispinor]]. This equation can be decoupled into two spinors in the non-relativistic limit, leading to predict the [[electron magnetic m [[Category:Spinors]] ...

...tilized in relativistically invariant wave equations for fermions (such as spinors) in arbitrary space-time dimensions, notably in string theory and supergra {{Cite journal | last1=Petitjean | first1=Michel | title=Chirality of Dirac spinors revisited | journal=Symmetry | year=2020 | volume=12 | issue=4 | pages=616 ...

...one always counts the number of ''real'' irreducible representations. The spinors with spins less than 3/2 that exist in each number of dimensions will be cl == A classification of spinors == ...

...al{N}</math> counts the number of 4-component [[Majorana spinor|Majorana]] spinors of supercharges. Some examples of nonrenormalization theorems in 4-dimensi ...al{N}</math> counts the number of 2-component [[Majorana spinor|Majorana]] spinors of supercharges. ...

...{{math|''x''}}.{{refn|{{citation |author=Élie Cartan |title=The Theory of Spinors |publisher=[[Dover Publications]] |date=1981 |orig-date=First published in ...o da Rocha, Jr. |year=2016 |title=An Introduction to Clifford Algebras and Spinors |publisher=[[Oxford University Press]] |page=140 |isbn=9780191085789 }}}}{{ ...

...,</math> and <math>\psi</math> is the [[wavefunction]] – one of the Weyl [[spinors]]. The left-handed form of the Weyl equation is usually written as: ...ons to the Weyl equation are referred to as the left and right handed Weyl spinors, each is with two components. Both have the form ...

...simpler component spinors, the [[Weyl spinor]]s. Each of the two component spinors transform differently under the two distinct complex-conjugate spin-1/2 [[R ...without [[parity transformation]]s). Under parity transformation the Weyl spinors transform into each other. ...

...nstruction due to [[Bertram Kostant]].<ref>{{cite journal|title=Symplectic Spinors|last=Kostant |first=B. |journal=Symposia Mathematica|volume= XIV|year=1974| ...

...h:{{refn|{{citation |author1=Roger Penrose|author2=Wolfgang Rindler |title=Spinors and Space–Time: Volume 1, Two-Spinor Calculus and Relativistic Fields |publ ...

...[orientable manifold|orientable]], while the manifold of rotations is not. Spinors are elements of a vector subspace of some [[Clifford algebra]]. ...

...first1 = I.M.| last2 = Tucker | first2 = R.W. | title = An Introduction to Spinors and Geometry with Applications in Physics | publisher = Adam Hilger | locat ...

...er commutative, but one may be able to find the space of square integrable spinors (or, sections of a Clifford module) on which the algebra acts, and the corr ...

...l|last1=Graf|first1=W.|author-link1=|date=1978|title=Differential Forms as Spinors|url=http://www.numdam.org/item/AIHPA_1978__29_1_85_0/|journal=Annales de l' ...