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On the spinor representation [PDF]
European Physical Journal C: Particles and Fields, 2017 A systematic study of the spinor representation by means of the fermionic physical space is accomplished and implemented. The spinor representation space is shown to be constrained by the Fierz–Pauli–Kofink identities among the spinor bilinear covariants.
J. M. Hoff da Silva +3 more
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Quaternion Electromagnetism and the Relation with Two-Spinor Formalism
Universe, 2019 By using complex quaternion, which is the system of quaternion representation extended to complex numbers, we show that the laws of electromagnetism can be expressed much more simply and concisely.
In Ki Hong, Choong Sun Kim
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Spinor Equations of Successor Curves
Universal Journal of Mathematics and Applications, 2022 The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the spinor representations of a curve with unit speed and a successor curve with the same arc length ...
Hilal Köse Öztaş, Tülay Erişir
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On the Dn spin vertex models for odd n
Physics Letters B, 2021 Solvable vertex models in two dimensions are of importance in conformal field theory, phase transitions and integrable models. We consider here the Dn spin vertex models, for n which is odd. The models involve also the anti–spinor representation.
Doron Gepner
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Spinor representation of Maxwell’s equations [PDF]
Journal of Physics: Conference Series, 2017 Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Thus, the group of Lorentz two-spinors is the covering group of the Lorentz group. Since the Lorentz group is a symmetry group of Maxwell's equations, it is assumed to reasonable to use when writing the Maxwell equations ...
Kulyabov D.S. +2 more
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On spinor exceptional representations [PDF]
Nagoya Mathematical Journal, 1982 Let f(x1 …, xm) be a quadratic form with integer coefficients and c ∈ Z. If f(x) = c has a solution over the real numbers and if f(x) ≡ c (mod N) is soluble for every modulus N, then at least some form h in the genus of f represents c. If m ≧ 4 one may further conclude that h belongs to the spinor genus of f. This does not hold when m = 3.
Benham, J. W., Hsia, J. S.
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Spinor symmetries and underlying properties
European Physical Journal C: Particles and Fields, 2020 By exploring a spinor space whose elements carry a spin 1/2 representation of the Lorentz group and satisfy the the Fierz–Pauli–Kofink identities we show that certain symmetries operations form a Lie group.
J. M. Hoff da Silva +3 more
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Spinor representation for loop quantum gravity [PDF]
Journal of Mathematical Physics, 2012 We perform a quantization of the loop gravity phase space purely in terms of spinorial variables, which have recently been shown to provide a direct link between spin network states and simplicial geometries. The natural Hilbert space to represent these spinors is the Bargmann space of holomorphic square-integrable functions over complex numbers.
Livine, Etera, Tambornino, Johannes
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Bulk reconstruction for spinor fields in AdS/CFT
Journal of High Energy Physics, 2020 We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable modes, work out the
Valentino F. Foit +2 more
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Representation fields for commutative orders [PDF]
, 2011 A representation field for a non-maximal order $\Ha$ in a central simple algebra is a subfield of the spinor class field of maximal orders which determines the set of spinor genera of maximal orders containing a copy of $\Ha$. Not every non-maximal order
Arenas-Carmona, Luis
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