Homothetic and Conformal Symmetries

1999 ◽  
pp. 103-133
Author(s):  
Krishan L. Duggal ◽  
Ramesh Sharma
Keyword(s):  
Conformal Symmetries

scholarly journals Palatial Twistors from Quantum Inhomogeneous Conformal Symmetries and Twistorial DSR Algebras

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1309
Author(s):  
Jerzy Lukierski
Keyword(s):  
Phase Space ◽  
Hopf Algebras ◽  
Deformation Parameter ◽  
Heisenberg Algebra ◽  
Planck Length ◽  
Covariant Quantum ◽  
Drinfeld Twist ◽  
Quantum Deformations ◽  
Heisenberg Double ◽  
Conformal Symmetries

We construct recently introduced palatial NC twistors by considering the pair of conjugated (Born-dual) twist-deformed D=4 quantum inhomogeneous conformal Hopf algebras Uθ(su(2,2)⋉T4) and Uθ¯(su(2,2)⋉T¯4), where T4 describes complex twistor coordinates and T¯4 the conjugated dual twistor momenta. The palatial twistors are suitably chosen as the quantum-covariant modules (NC representations) of the introduced Born-dual Hopf algebras. Subsequently, we introduce the quantum deformations of D=4 Heisenberg-conformal algebra (HCA) su(2,2)⋉Hℏ4,4 (Hℏ4,4=T¯4⋉ℏT4 is the Heisenberg algebra of twistorial oscillators) providing in twistorial framework the basic covariant quantum elementary system. The class of algebras describing deformation of HCA with dimensionfull deformation parameter, linked with Planck length λp, is called the twistorial DSR (TDSR) algebra, following the terminology of DSR algebra in space-time framework. We describe the examples of TDSR algebra linked with Palatial twistors which are introduced by the Drinfeld twist and the quantization map in Hℏ4,4. We also introduce generalized quantum twistorial phase space by considering the Heisenberg double of Hopf algebra Uθ(su(2,2)⋉T4).

scholarly journals Extended conformal symmetries

1993 ◽  
Vol 11 (1-4) ◽  
pp. 205-223
Author(s):  
E. Bergshoeff
Keyword(s):  
Conformal Symmetries

scholarly journals Conformal symmetries of the super Dirac operator

2015 ◽  
Vol 31 (2) ◽  
pp. 373-410 ◽  
Author(s):  
Kevin Coulembier ◽  
Hendrik De Bie
Keyword(s):  
Dirac Operator ◽  
Conformal Symmetries

scholarly journals “Kepler Harmonies” and conformal symmetries

2019 ◽  
Vol 792 ◽  
pp. 324-328 ◽  
Author(s):  
P.M. Zhang ◽  
M. Cariglia ◽  
M. Elbistan ◽  
G.W. Gibbons ◽  
P.A. Horvathy
Keyword(s):  
Conformal Symmetries

scholarly journals Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields

2020 ◽  
Vol 418 ◽  
pp. 168180
Author(s):  
M. Elbistan ◽  
N. Dimakis ◽  
K. Andrzejewski ◽  
P.A. Horvathy ◽  
P. Kosiński ◽  
...  
Keyword(s):  
Electromagnetic Fields ◽  
External Electromagnetic Fields ◽  
Conformal Symmetries

scholarly journals Conformal symmetries of FRW accelerating cosmologies

2014 ◽  
Vol 884 ◽  
pp. 547-565 ◽  
Author(s):  
A. Kehagias ◽  
A. Riotto
Keyword(s):  
Conformal Symmetries

scholarly journals Hypersurface homogeneous locally rotational symmetric spacetimes admitting conformal symmetries

2001 ◽  
Vol 18 (18) ◽  
pp. 3775-3790 ◽  
Author(s):  
Pantelis S Apostolopoulos ◽  
Michael Tsamparlis
Keyword(s):  
Symmetric Spacetimes ◽  
Conformal Symmetries

Extended conformal symmetries and U(1) currents

1989 ◽  
Vol 22 (9) ◽  
pp. 1451-1458 ◽  
Author(s):  
I Bakas ◽  
A C Kakas
Keyword(s):  
Conformal Symmetries
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