Erratum: Light neutral boson in spinor-connection theory

1990 ◽  
Vol 41 (2) ◽  
pp. 719-719
Author(s):  
J. T. Lynch
Keyword(s):  
Spinor Connection

scholarly journals Killing superalgebras for lorentzian five-manifolds

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Andrew Beckett ◽  
José Figueroa-O’Farrill
Keyword(s):  
Spin Manifold ◽  
Field Equations ◽  
Spinor Bundle ◽  
Killing Spinors ◽  
Spinor Connection ◽  
Spencer Cohomology ◽  
Definition Of ◽  
Supersymmetric Theories ◽  
Filtered Deformations

Abstract We calculate the relevant Spencer cohomology of the minimal Poincaré superalgebra in 5 spacetime dimensions and use it to define Killing spinors via a connection on the spinor bundle of a 5-dimensional lorentzian spin manifold. We give a definition of bosonic backgrounds in terms of this data. By imposing constraints on the curvature of the spinor connection, we recover the field equations of minimal (ungauged) 5-dimensional supergravity, but also find a set of field equations for an $$ \mathfrak{sp} $$ sp (1)-valued one-form which we interpret as the bosonic data of a class of rigid supersymmetric theories on curved backgrounds. We define the Killing superalgebra of bosonic backgrounds and show that their existence is implied by the field equations. The maximally supersymmetric backgrounds are characterised and their Killing superalgebras are explicitly described as filtered deformations of the Poincaré superalgebra.

Light neutral boson in spinor-connection theory

1987 ◽  
Vol 36 (12) ◽  
pp. 3821-3824 ◽  
Author(s):  
J. T. Lynch
Keyword(s):  
Spinor Connection

Spinor connection within Weinberg-Salam model and prediction of higgs mass

1987 ◽  
Vol 193 (4) ◽  
pp. 464-466
Author(s):  
Robert Trostel
Keyword(s):  
Higgs Mass ◽  
Spinor Connection

On spinor connection in a riemannian space and the masses of elementary particles

1964 ◽  
Vol 34 (1) ◽  
pp. 81-92 ◽  
Author(s):  
M. Sachs
Keyword(s):  
Riemannian Space ◽  
Elementary Particles ◽  
Spinor Connection ◽  
The Masses

The natural spinor connection on S 8 is a gauge field

1986 ◽  
Vol 11 (2) ◽  
pp. 171-175 ◽  
Author(s):  
G. Landi
Keyword(s):  
Gauge Field ◽  
Spinor Connection

scholarly journals FERMI TRANSPORT OF SPINORS AND FREE QED STATES IN CURVED SPACETIME

2009 ◽  
Vol 06 (05) ◽  
pp. 805-824 ◽  
Author(s):  
DANIEL CANARUTTO
Keyword(s):  
Free Electron ◽  
Curved Spacetime ◽  
Electron States ◽  
One Dimensional ◽  
The Family ◽  
Spinor Connection ◽  
Spinor Geometry ◽  
Classical Fields ◽  
Distinguished Member

Fermi transport of spinors can be precisely understood in terms of two-spinor geometry. By using a partly original, previously developed treatment of two-spinors and classical fields, we describe the family of all transports, along a given one-dimensional timelike submanifold of spacetime, which yield the standard Fermi transport of vectors. Moreover, we show that this family has a distinguished member, whose relation to the Fermi transport of vectors is similar to the relation between the spinor connection and spacetime connection. Various properties of the Fermi transport of spinors are discussed, and applied to the construction of free electron states for a detector-dependent QED formalism introduced in a previous paper.

scholarly journals Higgs Potential and Spinor Connection within Weinberg-Salem Model

1987 ◽  
Vol 78 (3) ◽  
pp. 640-653 ◽  
Author(s):  
R. Trostel
Keyword(s):  
Higgs Potential ◽  
Spinor Connection

scholarly journals Solutions of field equations in general relativity with spinor connection

1984 ◽  
Vol 30 (3) ◽  
pp. 477-479
Author(s):  
L. A. Peters
Keyword(s):  
General Relativity ◽  
Field Equations ◽  
Spinor Connection

scholarly journals Cosmology with spinor connection

1975 ◽  
Vol 1 (3-4) ◽  
pp. 345-350 ◽  
Author(s):  
G. Szekeres
Keyword(s):  
Spinor Connection

scholarly journals Theory of Spinors in Curved Space-Time

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1931
Author(s):  
Ying-Qiu Gu
Keyword(s):  
Clifford Algebra ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Space Time ◽  
Classical Dynamics ◽  
Curved Space ◽  
Spinor Fields ◽  
Classical Approximation ◽  
Dirac Matrix ◽  
Spinor Connection

By means of Clifford Algebra, a unified language and tool to describe the rules of nature, this paper systematically discusses the dynamics and properties of spinor fields in curved space-time, such as the decomposition of the spinor connection, the classical approximation of the Dirac equation, the energy-momentum tensor of spinors and so on. To split the spinor connection into the Keller connection Υμ∈Λ1 and the pseudo-vector potential Ωμ∈Λ3 not only makes the calculation simpler, but also highlights their different physical meanings. The representation of the new spinor connection is dependent only on the metric, but not on the Dirac matrix. Only in the new form of connection can we clearly define the classical concepts for the spinor field and then derive its complete classical dynamics, that is, Newton’s second law of particles. To study the interaction between space-time and fermion, we need an explicit form of the energy-momentum tensor of spinor fields; however, the energy-momentum tensor is closely related to the tetrad, and the tetrad cannot be uniquely determined by the metric. This uncertainty increases the difficulty of deriving rigorous expression. In this paper, through a specific representation of tetrad, we derive the concrete energy-momentum tensor and its classical approximation. In the derivation of energy-momentum tensor, we obtain a spinor coefficient table Sabμν, which plays an important role in the interaction between spinor and gravity. From this paper we find that Clifford algebra has irreplaceable advantages in the study of geometry and physics.

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