scholarly journals A unitary representation of the conformal group on Minkowski space and dynamical groups. I

1989 ◽  
Vol 139 (2) ◽  
pp. 339-376 ◽  
Author(s):  
Ernest Thieleker
Keyword(s):  
Minkowski Space ◽  
Unitary Representation ◽  
Conformal Group

Classical Yang-Mills equations invariant under subgroups of the conformal group without coupling to matter

2000 ◽  
Vol 77 (10) ◽  
pp. 751-767
Author(s):  
P Bracken
Keyword(s):  
Asymptotic Behaviour ◽  
Minkowski Space ◽  
Gauge Transformation ◽  
Conformal Group ◽  
Field Equations ◽  
Yang Mills ◽  
Mills Field

Classical Yang-Mills field equations on Minkowski space with gaugegroup SU(2) are determined. Solutions invariant up to a gauge transformation under a four-dimensional subgroup of the conformal group are evaluated for the Yang-Mills field in the absence of matter. Some properties of the solutions of the equations such as their asymptotic behaviour are obtained.PACS No.: 03.50-z

Fine topologies for Minkowski space

1974 ◽  
Vol 76 (3) ◽  
pp. 503-509 ◽  
Author(s):  
Gareth Williams
Keyword(s):  
Minkowski Space ◽  
Conformal Group ◽  
Projective Group

AbstractFine topologies are discussed for Minkowski space. The conformal group and projective group have representations as C1 groups of homeomorphisms of various topologies.

Quantizations of Flag Manifolds and Conformal Space Time

1997 ◽  
Vol 09 (04) ◽  
pp. 453-465 ◽  
Author(s):  
R. Fioresi
Keyword(s):  
Euclidean Space ◽  
Minkowski Space ◽  
Conformal Group ◽  
Flag Manifolds ◽  
The Real ◽  
Rham Complex ◽  
De Rham ◽  
Big Cell ◽  
Real Complex ◽  
Real Euclidean Space

In this paper we work out the deformations of some flag manifolds and of complex Minkowski space viewed as an affine big cell inside G(2,4). All the deformations come in tandem with a coaction of the appropriate quantum group. In the case of the Minkowski space this allows us to define the quantum conformal group. We also give two involutions on the quantum complex Minkowski space, that respectively define the real Minkowski space and the real euclidean space. We also compute the quantum De Rham complex for both real (complex) Minkowski and euclidean space.

Subgroups of the similitude group of three-dimensional Minkowski space

1976 ◽  
Vol 54 (9) ◽  
pp. 950-961 ◽  
Author(s):  
J. Patera ◽  
P. Winternitz ◽  
R. T. Sharp ◽  
H. Zassenhaus
Keyword(s):  
Minkowski Space ◽  
Three Dimensional ◽  
Conformal Group ◽  
Conjugacy Classes ◽  
Dimensional Minkowski Space ◽  
Casimir Operators ◽  
Inner Automorphisms

All continuous subgroups of E(2,1) and of the similitude group of three-dimensional Minkowski space are found and classified into conjugacy classes under inner automorphisms and under the corresponding conformal group O(3,2). All the subalgebras are also classified up to isomorphisms and their invariants (Casimir operators and their generalizations) are found. The results are summarized in tables.

CLASSICAL YANG-MILLS-DIRAC SYSTEM WITH CONFORMAL SYMMETRY: A GEOMETRICAL ANALYSIS

1994 ◽  
Vol 09 (37) ◽  
pp. 3431-3444 ◽  
Author(s):  
J.-P. ANTOINE ◽  
L. DABROWSKI ◽  
I. MAHARA
Keyword(s):  
Minkowski Space ◽  
Gauge Group ◽  
Gauge Transformation ◽  
Conformal Symmetry ◽  
Conformal Group ◽  
Dirac System ◽  
Geometrical Analysis ◽  
Yang Mills ◽  
Dirac Equations

We consider classical Yang-Mills-Dirac equations on Minkowski space, with gauge group SU(2), and look for solutions invariant (up to a gauge transformation) under a four-dimensional subgroup of the conformal group. In each of the four different cases that we analyze, the equations admit non-Abelian solutions, but these cannot be obtained analytically. In addition, some cases admit solutions with chiral spinors that may be physically relevant. All these solutions are singular.

On generalized partially null Mannheim curves in Minkowski space-time

2016 ◽  
Vol 46 (1) ◽  
pp. 159-170 ◽  
Author(s):  
Emilija Nešović ◽  
Milica Grbović
Keyword(s):  
Minkowski Space ◽  
Space Time ◽  
Minkowski Space Time
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