Journal of High Energy Physics, ISSN 1126-6708, 4/2015, Volume 2015, Issue 4, pp. 1 - 39

We present D = 3 and D = 4 world-line models for massive particles moving in a new type of enlarged spacetime, with D−1 additional vector coordinates, which...

Space-Time Symmetries | Extended Supersymmetry | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Higher Spin Symmetry | INTERACTING MASSLESS FIELDS | MATTER FIELDS | HARMONIC SUPERSPACE | CUBIC INTERACTION | SUPER-TWISTORS | BRST APPROACH | CENTRAL CHARGES | ARBITRARY SPIN | SUPERPARTICLE MODELS | INTEGER SPIN | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Space-Time Symmetries | Extended Supersymmetry | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Higher Spin Symmetry | INTERACTING MASSLESS FIELDS | MATTER FIELDS | HARMONIC SUPERSPACE | CUBIC INTERACTION | SUPER-TWISTORS | BRST APPROACH | CENTRAL CHARGES | ARBITRARY SPIN | SUPERPARTICLE MODELS | INTEGER SPIN | PHYSICS, PARTICLES & FIELDS | Mathematical Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 11/2017, Volume 2017, Issue 11, pp. 1 - 35

We construct firstly the complete list of five quantum deformations of D = 4 complex homogeneous orthogonal Lie algebra o4ℂ≅o3ℂ⊕o3ℂ $$...

Quantum Groups | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | Algebra | Analysis | Nuclear physics | Gravity | Deformation | Quantum theory | Lie groups | Mathematics - Quantum Algebra | Mathematical Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Representation Theory

Quantum Groups | Non-Commutative Geometry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Models of Quantum Gravity | Elementary Particles, Quantum Field Theory | Algebra | Analysis | Nuclear physics | Gravity | Deformation | Quantum theory | Lie groups | Mathematics - Quantum Algebra | Mathematical Physics | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Representation Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 04/2013, Volume 869, Issue 2, pp. 303 - 314

The Lie algebras expansion method is used to show that the four-dimensional spacetime Maxwell (super)algebras and some of their generalizations can be derived...

INONU-WIGNER CONTRACTIONS | ALGEBRAS | CONSTANT ELECTROMAGNETIC-FIELD | PARTICLES | SUPERGRAVITIES | LOCAL REALIZATIONS | LIE | KINEMATICAL GROUPS | PHYSICS, PARTICLES & FIELDS | Methods | Algebra

INONU-WIGNER CONTRACTIONS | ALGEBRAS | CONSTANT ELECTROMAGNETIC-FIELD | PARTICLES | SUPERGRAVITIES | LOCAL REALIZATIONS | LIE | KINEMATICAL GROUPS | PHYSICS, PARTICLES & FIELDS | Methods | Algebra

Journal Article

The European Physical Journal C - Particles and Fields, ISSN 1434-6044, 04/2017, Volume 77, Issue 4

Journal Article

Physics Letters B, ISSN 0370-2693, 01/2011, Volume 694, Issue 4-5, pp. 478 - 481

We perform a nonrelativistic contraction of N-extended Poincaré superalgebra with internal symmetry U(N) and general set of N(N−1) real central charges. We...

Nonrelativistic supersymmetries | Central charges in SUSY theories | Contractions of space–time algebras | Contractions of space-time algebras | SUPERSYMMETRY | EXTENSIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

Nonrelativistic supersymmetries | Central charges in SUSY theories | Contractions of space–time algebras | Contractions of space-time algebras | SUPERSYMMETRY | EXTENSIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics of Particles and Nuclei, ISSN 1063-7796, 9/2015, Volume 46, Issue 5, pp. 746 - 747

I shall describe briefly the first ten years of Ludwik Turko’s scientific activities—from his arrival to Wroclaw in 1967 through PhD studies (1967–1971) until...

Physics | Particle and Nuclear Physics | FORMALISM | INTERACTING 2-PARTICLE SUBSYSTEMS | MODEL | FIELD-THEORY | SCATTERING | PHYSICS, PARTICLES & FIELDS

Physics | Particle and Nuclear Physics | FORMALISM | INTERACTING 2-PARTICLE SUBSYSTEMS | MODEL | FIELD-THEORY | SCATTERING | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Letters B, ISSN 0370-2693, 03/2016, Volume 754, Issue C, pp. 176 - 181

We employ new calculational technique and present complete list of classical r-matrices for D=4 complex homogeneous orthogonal Lie algebra o(4;C), the...

PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | Mathematics | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics | Representation Theory

PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | Mathematics | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics | Representation Theory

Journal Article

European Physical Journal C, ISSN 1434-6044, 04/2017, Volume 77, Issue 4, pp. 1 - 12

Using the isomorphism o(3; C) similar or equal to sl(2; C) we develop a new simple algebraic technique for complete classification of quantum deformations (the...

INVARIANCE | QUANTUM GROUP SUQ(1,1) | UNITARY REPRESENTATIONS | POINCARE | Q-DEFORMATION | CLASSIFICATION | DUALITY | UNIVERSAL R-MATRIX | GRAVITY | PHYSICS, PARTICLES & FIELDS | Isomorphism | Generators | Deformation | Algebra | Lie groups | Symmetry | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | Astrophysics | High Energy Physics - Theory | Representation Theory

INVARIANCE | QUANTUM GROUP SUQ(1,1) | UNITARY REPRESENTATIONS | POINCARE | Q-DEFORMATION | CLASSIFICATION | DUALITY | UNIVERSAL R-MATRIX | GRAVITY | PHYSICS, PARTICLES & FIELDS | Isomorphism | Generators | Deformation | Algebra | Lie groups | Symmetry | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | Astrophysics | High Energy Physics - Theory | Representation Theory

Journal Article

Physics Letters B, ISSN 0370-2693, 07/2009, Volume 678, Issue 4, pp. 411 - 415

We consider the non-relativistic c→∞ contraction limit of the (N=2k)-extended D=4 superconformal algebra su(2,2;N), introducing in this way the...

NONLINEAR REALIZATIONS | DYNAMICAL REALIZATIONS | SCHRODINGER-INVARIANCE | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | NONRELATIVISTIC CONFORMAL GROUPS | PHYSICS, PARTICLES & FIELDS

NONLINEAR REALIZATIONS | DYNAMICAL REALIZATIONS | SCHRODINGER-INVARIANCE | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | NONRELATIVISTIC CONFORMAL GROUPS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 04/2016, Volume 2016, Issue 4, pp. 1 - 29

We study Yang-Baxter sigma models with deformed 4d Minkowski spacetimes arising from classical r-matrices associated with kappa-deformations of the Poincare...

Non-Commutative Geometry | Sigma Models | Integrable Field Theories | INTEGRABILITY | ADS/CFT | GRAVITY/CYBE CORRESPONDENCE | POISSON STRUCTURES | WEYL | QUANTUM DEFORMATIONS | PHYSICS, PARTICLES & FIELDS | Time dependence | Construction | Algebra | Deformation | Computation | Mathematical analysis | Mathematical models | Standards | Nuclear and High Energy Physics

Non-Commutative Geometry | Sigma Models | Integrable Field Theories | INTEGRABILITY | ADS/CFT | GRAVITY/CYBE CORRESPONDENCE | POISSON STRUCTURES | WEYL | QUANTUM DEFORMATIONS | PHYSICS, PARTICLES & FIELDS | Time dependence | Construction | Algebra | Deformation | Computation | Mathematical analysis | Mathematical models | Standards | Nuclear and High Energy Physics

Journal Article

11.
Full Text
Quantum twist-deformed D = 4 phase spaces with spin sector and Hopf algebroid structures

Physics Letters B, ISSN 0370-2693, 02/2019, Volume 789, pp. 82 - 87

We consider the generalized (10+10)-dimensional D=4 quantum phase spaces containing translational and Lorentz spin sectors associated with the dual pair of...

PHYSICS, NUCLEAR | WAVE-FUNCTIONS | MODEL | PARTICLES | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

PHYSICS, NUCLEAR | WAVE-FUNCTIONS | MODEL | PARTICLES | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Letters B, ISSN 0370-2693, 11/2015, Volume 750, Issue C, pp. 401 - 406

We consider the general D=4(10+10)-dimensional κ-deformed quantum phase space as given by Heisenberg double H of D=4κ-deformed Poincaré–Hopf algebra H. The...

PHYSICS, NUCLEAR | DEFORMATION | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Quantum Algebra | Mathematics | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics

PHYSICS, NUCLEAR | DEFORMATION | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Quantum Algebra | Mathematics | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics

Journal Article

Physics Letters B, ISSN 0370-2693, 06/2014, Volume 733, pp. 309 - 315

We present a new model of D=4 relativistic massive particle with spin and we describe its quantization. The model is obtained by an extension of standard...

Spin | Twistors | Massive particle | MASSLESS PARTICLES | ASTRONOMY & ASTROPHYSICS | DYNAMICS | PHYSICS, NUCLEAR | TRANSFORM | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Spin | Twistors | Massive particle | MASSLESS PARTICLES | ASTRONOMY & ASTROPHYSICS | DYNAMICS | PHYSICS, NUCLEAR | TRANSFORM | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Physics of Atomic Nuclei, ISSN 1063-7788, 10/2012, Volume 75, Issue 10, pp. 1256 - 1263

Firstly we discuss briefly three different algebras named as nonrelativistic (NR) conformal: Schrödinger, Galilean conformal, and infinite algebra of local NR...

Physics | Particle and Nuclear Physics | INVARIANCE | SUPERSYMMETRIES | MECHANICS | SCHRODINGER GROUP | PARTICLE | ALGEBRA | REALIZATIONS | PHYSICS, NUCLEAR | SCALE | CRITICAL SYSTEMS | PHYSICS, PARTICLES & FIELDS | Algebra | SPACE | CONFORMAL INVARIANCE | SYMMETRY | SCHROEDINGER EQUATION | ATOMIC AND MOLECULAR PHYSICS | QUANTUM FIELD THEORY | WEYL UNIFIED THEORY | RELATIVISTIC RANGE

Physics | Particle and Nuclear Physics | INVARIANCE | SUPERSYMMETRIES | MECHANICS | SCHRODINGER GROUP | PARTICLE | ALGEBRA | REALIZATIONS | PHYSICS, NUCLEAR | SCALE | CRITICAL SYSTEMS | PHYSICS, PARTICLES & FIELDS | Algebra | SPACE | CONFORMAL INVARIANCE | SYMMETRY | SCHROEDINGER EQUATION | ATOMIC AND MOLECULAR PHYSICS | QUANTUM FIELD THEORY | WEYL UNIFIED THEORY | RELATIVISTIC RANGE

Journal Article

Physics Letters B, ISSN 0370-2693, 02/2006, Volume 633, Issue 1, pp. 116 - 124

We consider two new classes of twisted D=4 quantum Poincaré symmetries described as the dual pairs of noncocommutative Hopf algebras. Firstly we investigate a...

PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

PHYSICS, NUCLEAR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

16.
Full Text
Quantum deformations of D =4 Euclidean, Lorentz, Kleinian and quaternionic o a setting

Physics Letters B, ISSN 0370-2693, 03/2016, Volume 754, p. 176

We employ new calculational technique and present complete list of classical r-matrices for D=4 complex homogeneous orthogonal Lie algebra o(4;C), the...

Algebra | Nuclear physics

Algebra | Nuclear physics

Journal Article

17.
Full Text
FROM QUANTUM DEFORMATIONS OF RELATIVISTIC SYMMETRIES TO MODIFIED KINEMATICS AND DYNAMICS

International Journal of Modern Physics D, ISSN 0218-2718, 09/2011, Volume 20, Issue 10, pp. 1961 - 1967

Starting from noncommutative generalization of Minkowski space we consider quantum deformed relativistic symmetries which lead to the modification of...

Modified gravity | Noncommutative field theory | Quantum symmetries | modified gravity | KAPPA-POINCARE ALGEBRA | MINIMUM LENGTH | FIELD-THEORY | NONCOMMUTATIVE GEOMETRY | ASTRONOMY & ASTROPHYSICS | noncommutative field theory | MINKOWSKI SPACE | SYSTEMS | PLANCK-SCALE | GRAVITY | Kinematics | Gravitation | Deformation | Relativity | Minkowski space | Field theory | Formalism | Symmetry | Physics - High Energy Physics - Theory

Modified gravity | Noncommutative field theory | Quantum symmetries | modified gravity | KAPPA-POINCARE ALGEBRA | MINIMUM LENGTH | FIELD-THEORY | NONCOMMUTATIVE GEOMETRY | ASTRONOMY & ASTROPHYSICS | noncommutative field theory | MINKOWSKI SPACE | SYSTEMS | PLANCK-SCALE | GRAVITY | Kinematics | Gravitation | Deformation | Relativity | Minkowski space | Field theory | Formalism | Symmetry | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2017, Volume 2017, Issue 11

Journal Article

Proceedings of the Steklov Institute of Mathematics, ISSN 0081-5438, 4/2011, Volume 272, Issue 1, pp. 183 - 190

We consider a class of generalized Wigner-Inönü contractions for the semidirect product of two particularly related semisimple Lie (super)algebras. A special...

Mathematics, general | Mathematics | LIE-ALGEBRAS | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUOUS GRADED CONTRACTIONS | DISCRETE

Mathematics, general | Mathematics | LIE-ALGEBRAS | MATHEMATICS | MATHEMATICS, APPLIED | CONTINUOUS GRADED CONTRACTIONS | DISCRETE

Journal Article

Physics Letters A, ISSN 0375-9601, 2006, Volume 357, Issue 1, pp. 1 - 5

The six-dimensional exotic Galilean algebra in ( 2 + 1 ) dimensions with two central charges m and θ, is extended when m = 0 , to a ten-dimensional Galilean...

INVARIANCE | PHYSICS, MULTIDISCIPLINARY | MECHANICS | Magnetic fields | Analysis | Universities and colleges | Physics - High Energy Physics - Theory

INVARIANCE | PHYSICS, MULTIDISCIPLINARY | MECHANICS | Magnetic fields | Analysis | Universities and colleges | Physics - High Energy Physics - Theory

Journal Article

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