Results 61 to 70 of about 48,147 (187)

On Spinor Representations in the Weyl Gauge Theory [PDF]

open access: yesModern Physics Letters A, 1997
A spinor current-source is found in the Weyl non-Abelian gauge theory which does not contain the abstract gauge space. It is shown that the searched spinor representation can be constructed in the space of external differential forms and it is a 16-component quantity for which a gauge-invariant Lagrangian is determined. The connection between the Weyl
Barbashov, B. M., Pestov, A. B.
openaire   +2 more sources

The pure spinor superparticle and 10D super-Yang-Mills amplitudes

open access: yesJournal of High Energy Physics
We present a prescription for computing tree-level scattering amplitudes in 10D super-Yang-Mills (SYM) theory using the pure spinor worldline formalism.
Max Guillen   +2 more
doaj   +1 more source

Higher-loop amplitudes in the non-minimal pure spinor formalism

open access: yes, 2009
We analyze the properties of the non-minimal pure spinor formalism. We show that Siegel gauge on massless vertex operators implies the primary field constraint and the level-matching condition in closed string theory by reconstructing the integrated ...
Grassi, Pietro Antonio, Vanhove, Pierre
core   +2 more sources

Massless and massive representations in the spinor technique [PDF]

open access: yesInternational Journal of Modern Physics A, 2014
The technique for representing spinors and the definition of the discrete symmetries is used to illustrate on a toy model properties of massless and massive spinors states, in the first and the second quantized picture. Since in this toy model the number of the starting massless representations is well-defined as well as the origin of masses and ...
Lukman, Dragan   +2 more
openaire   +3 more sources

Deformations of the Boson $sp(4,R)$ Representation and its Subalgebras

open access: yes, 2000
The boson representation of the sp(4,R) algebra and two distinct deformations of it, are considered, as well as the compact and noncompact subalgebras of each. The initial as well as the deformed representations act in the same Fock space.
A I Georgieva   +18 more
core   +1 more source

Representation masses of spinor genera

open access: yesDuke Mathematical Journal, 2001
Let \(f\) be an integral quadratic form of rank \(n\). The Minkowski-Siegel mass formula provides a means of determining the representation measure (or mass) of an integer \(c\) by the genus of \(f\) by expressing this quantity as a product of local factors.
openaire   +2 more sources

On primitive spinor exceptional representations

open access: yesJournal of Number Theory, 1987
In earlier papers a relationship between primitive representations of certain numbers \(c\) by a spinor genus of a ternary quadratic form \(f\) and primitive representations of \(ct^2\), \((t,2D)=1\), by \(f\) was established (\(D\) is the discriminant of \(f\)). This paper gives a generalization of this result to higher dimensional settings, namely to
openaire   +1 more source

Tree-level 11D supergravity amplitudes from the pure spinor worldline

open access: yesJournal of High Energy Physics
We develop a pure spinor worldline formalism for computing tree-level scattering amplitudes in 11D supergravity. Focusing first on the 4-point amplitude, we demonstrate that our prescription is consistent with BRST symmetry and gauge invariance, and that
Max Guillen   +2 more
doaj   +1 more source

Continuous spin superparticle model

open access: yesPhysics Letters B
We construct a new model of a particle propagating in 4D, N=1 superspace that describes the dynamics of a continuous spin irreducible representation of the Poincaré supergroup.
I.L. Buchbinder, S.A. Fedoruk
doaj   +1 more source

Acoustic versus electromagnetic field theory: scalar, vector, spinor representations and the emergence of acoustic spin

open access: yesNew Journal of Physics, 2020
We construct a novel Lagrangian representation of acoustic field theory that describes the local vector properties of longitudinal (curl-free) acoustic fields.
Lucas Burns   +3 more
doaj   +1 more source

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