Classical and Quantum Gravity, ISSN 0264-9381, 05/2016, Volume 33, Issue 12, p. 125033

We provide a generalization of the Lie algebra of conformal Killing vector fields to conformal Killing-Yano forms. A new Lie bracket for conformal Killing-Yano...

QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | conformal Killing-Yano forms | ASTRONOMY & ASTROPHYSICS | CURRENTS | graded Lie algebra | SPINORS | constant curvature manifolds | Einstein manifolds | PHYSICS, PARTICLES & FIELDS

QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | conformal Killing-Yano forms | ASTRONOMY & ASTROPHYSICS | CURRENTS | graded Lie algebra | SPINORS | constant curvature manifolds | Einstein manifolds | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 08/2015, Volume 94, pp. 199 - 208

We search for invariant solutions of the conformal Killing–Yano equation on Lie groups equipped with left invariant Riemannian metrics, focusing on 2-forms. We...

Left invariant metrics | Conformal Killing–Yano 2-forms | Lie groups | Conformal Killing-Yano 2-forms | KAHLER-MANIFOLDS | MATHEMATICS, APPLIED | TWISTOR FORMS | METRICS | PHYSICS, MATHEMATICAL | RIEMANNIAN-MANIFOLDS

Left invariant metrics | Conformal Killing–Yano 2-forms | Lie groups | Conformal Killing-Yano 2-forms | KAHLER-MANIFOLDS | MATHEMATICS, APPLIED | TWISTOR FORMS | METRICS | PHYSICS, MATHEMATICAL | RIEMANNIAN-MANIFOLDS

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 2010, Volume 60, Issue 6, pp. 907 - 923

We show that the Euclidean Kerr–NUT-(A)dS metric in 2 m dimensions locally admits 2 m Hermitian complex structures. These are derived from the existence of a...

Twistor theory | Isotropic foliations | Conformal Killing–Yano tensors | Complex structures | Higher-dimensional general relativity | Conformal Killing-Yano tensors | Secondary | Primary | DIRAC-EQUATION | CLASSIFICATION | PHYSICS, MATHEMATICAL | BLACK-HOLES | MATHEMATICS | EINSTEIN | 2-FORMS | KERR | DE SITTER METRICS

Twistor theory | Isotropic foliations | Conformal Killing–Yano tensors | Complex structures | Higher-dimensional general relativity | Conformal Killing-Yano tensors | Secondary | Primary | DIRAC-EQUATION | CLASSIFICATION | PHYSICS, MATHEMATICAL | BLACK-HOLES | MATHEMATICS | EINSTEIN | 2-FORMS | KERR | DE SITTER METRICS

Journal Article

Differential Geometry and its Applications, ISSN 0926-2245, 06/2018, Volume 58, pp. 103 - 119

Riemannian manifolds carrying 2-forms satisfying the Killing–Yano equation and the conformal Killing–Yano equation are natural generalizations of nearly Kähler...

Parallel tensors | (Conformal) Killing–Yano forms | parallel tensors | (Conformal) Killing-Yano forms | FORMS | MATHEMATICS | MATHEMATICS, APPLIED | LIE-GROUPS | MANIFOLDS

Parallel tensors | (Conformal) Killing–Yano forms | parallel tensors | (Conformal) Killing-Yano forms | FORMS | MATHEMATICS | MATHEMATICS, APPLIED | LIE-GROUPS | MANIFOLDS

Journal Article

Differential Geometry and its Applications, ISSN 0926-2245, 10/2017, Volume 54, pp. 236 - 244

The basic first-order differential operators of spin geometry that are Dirac operator and twistor operator are considered. Special types of spinors defined...

Twistor spinors | Killing spinors | Superalgebras | (Conformal) Killing–Yano forms | MATHEMATICS | MATHEMATICS, APPLIED | Twistor spinors (Conformal) Killing-Yano forms | Algebra

Twistor spinors | Killing spinors | Superalgebras | (Conformal) Killing–Yano forms | MATHEMATICS | MATHEMATICS, APPLIED | Twistor spinors (Conformal) Killing-Yano forms | Algebra

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 06/2020, Volume 152, p. 103654

We show that the first-order symmetry operators of twistor spinors can be constructed from conformal Killing–Yano forms in conformally-flat backgrounds. We...

Conformal superalgebras | Symmetry operators | Twistor spinors | Conformal Killing–Yano forms | MATHEMATICS | SUPERSYMMETRY | Conformal Killing-Yano forms | PHYSICS, MATHEMATICAL

Conformal superalgebras | Symmetry operators | Twistor spinors | Conformal Killing–Yano forms | MATHEMATICS | SUPERSYMMETRY | Conformal Killing-Yano forms | PHYSICS, MATHEMATICAL

Journal Article

Annals of Global Analysis and Geometry, ISSN 0232-704X, 12/2016, Volume 50, Issue 4, pp. 381 - 394

We study four-dimensional simply connected Lie groups G with a left invariant Riemannian metric g admitting non-trivial conformal Killing 2-forms. We show that...

Geometry | 53C30 | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Theoretical, Mathematical and Computational Physics | Conformal Killing forms | Invariant conformally Kähler structures | Mathematics | Group Theory and Generalizations | 53C15 | 53C25 | Half-conformally flat metrics | MATHEMATICS | LIE-GROUPS | KAHLER STRUCTURES | METRICS | SOLVMANIFOLDS | Invariant conformally Kahler structures | Algebra | Studies | Theorems | Mathematical models | Topological manifolds | Killing | Lists | Mathematical analysis | Manifolds (mathematics) | Invariants | Lie groups

Geometry | 53C30 | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | Theoretical, Mathematical and Computational Physics | Conformal Killing forms | Invariant conformally Kähler structures | Mathematics | Group Theory and Generalizations | 53C15 | 53C25 | Half-conformally flat metrics | MATHEMATICS | LIE-GROUPS | KAHLER STRUCTURES | METRICS | SOLVMANIFOLDS | Invariant conformally Kahler structures | Algebra | Studies | Theorems | Mathematical models | Topological manifolds | Killing | Lists | Mathematical analysis | Manifolds (mathematics) | Invariants | Lie groups

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 4/2014, Volume 327, Issue 2, pp. 577 - 602

We consider superconformal and supersymmetric field theories on four-dimensional Lorentzian curved space-times, and their five-dimensional holographic duals....

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EQUATIONS | FORMULATION | PHYSICS, MATHEMATICAL | CONFORMAL SUPERGRAVITY | N=1 SUPERGRAVITY | Murder | Physics - High Energy Physics - Theory

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EQUATIONS | FORMULATION | PHYSICS, MATHEMATICAL | CONFORMAL SUPERGRAVITY | N=1 SUPERGRAVITY | Murder | Physics - High Energy Physics - Theory

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 2/2012, Volume 270, Issue 1, pp. 337 - 350

We study transverse conformal Killing forms on foliations and prove a Gallot–Meyer theorem for foliations. Moreover, we show that on a foliation with...

53C12 | 57R30 | Mathematics, general | 53C27 | Mathematics | Transverse Killing form | Transverse conformal Killing form | Gallot–Meyer theorem | Gallot-Meyer theorem | DIRAC OPERATOR | EIGENVALUE | MATHEMATICS | POSITIVE CURVATURE OPERATOR | VARIETIES | RIEMANNIAN FOLIATIONS | MANIFOLDS

53C12 | 57R30 | Mathematics, general | 53C27 | Mathematics | Transverse Killing form | Transverse conformal Killing form | Gallot–Meyer theorem | Gallot-Meyer theorem | DIRAC OPERATOR | EIGENVALUE | MATHEMATICS | POSITIVE CURVATURE OPERATOR | VARIETIES | RIEMANNIAN FOLIATIONS | MANIFOLDS

Journal Article

Russian Mathematics, ISSN 1066-369X, 3/2017, Volume 61, Issue 3, pp. 44 - 48

We present a classification of complete locally irreducible Riemannian manifolds with nonnegative curvature operator, which admit a nonzero and nondecomposable...

curvature operator | vanishing theorem | conformal Killing forms | classification theorem | harmonic forms | Mathematics, general | complete Riemannian manifold | Mathematics

curvature operator | vanishing theorem | conformal Killing forms | classification theorem | harmonic forms | Mathematics, general | complete Riemannian manifold | Mathematics

Journal Article

Mathematical Notes, ISSN 0001-4346, 5/2014, Volume 95, Issue 5, pp. 856 - 864

The Tachibana numbers t r (M), the Killing numbers k r (M), and the planarity numbers p r (M) are considered as the dimensions of the vector spaces of,...

Killing number | conformal Killing form | compact manifold | Tachibana number | Mathematics, general | Mathematics | planarity number | conformal Killing (co)closed form | Betti number | MATHEMATICS | OPERATORS | RIEMANNIAN-MANIFOLDS

Killing number | conformal Killing form | compact manifold | Tachibana number | Mathematics, general | Mathematics | planarity number | conformal Killing (co)closed form | Betti number | MATHEMATICS | OPERATORS | RIEMANNIAN-MANIFOLDS

Journal Article

Mathematical Notes, ISSN 0001-4346, 11/2006, Volume 80, Issue 5, pp. 848 - 852

It is proved that, on any closed oriented Riemannian n-manifold, the vector spaces of conformal Killing, Killing, and closed conformal Killing r-forms, where 1...

conformal Killing form | closed oriented Riemannian manifold | Killing form | conformal scalar invariant | Mathematics, general | conformally flat Riemannian manifold | Mathematics | projective scalar invariant | Conformally flat Riemannian manifold | Projective scalar invariant | Closed oriented Riemannian manifold | Conformal scalar invariant | Conformal Killing form | MATHEMATICS

conformal Killing form | closed oriented Riemannian manifold | Killing form | conformal scalar invariant | Mathematics, general | conformally flat Riemannian manifold | Mathematics | projective scalar invariant | Conformally flat Riemannian manifold | Projective scalar invariant | Closed oriented Riemannian manifold | Conformal scalar invariant | Conformal Killing form | MATHEMATICS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2017, Volume 2017, Issue 5, pp. 1 - 27

A super-Laplacian is a set of differential operators in superspace whose highest-dimensional component is given by the spacetime Laplacian. Symmetries of...

Superspaces | Conformal and W Symmetry | Extended Supersymmetry | Higher Spin Symmetry | ALGEBRAS | REPRESENTATIONS | PHYSICS, PARTICLES & FIELDS | Algebra | Killing | Operators | Tensors | Differential equations | Lie groups | Physics - High Energy Physics - Theory | Astronomi, astrofysik och kosmologi | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Astronomy, Astrophysics and Cosmology | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Superspaces | Conformal and W Symmetry | Extended Supersymmetry | Higher Spin Symmetry | ALGEBRAS | REPRESENTATIONS | PHYSICS, PARTICLES & FIELDS | Algebra | Killing | Operators | Tensors | Differential equations | Lie groups | Physics - High Energy Physics - Theory | Astronomi, astrofysik och kosmologi | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Astronomy, Astrophysics and Cosmology | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 04/2020, Volume 2020, Issue 4, pp. 1 - 43

We study classical and quantum hidden symmetries of a particle with electric charge e in the background of a Dirac monopole of magnetic charge g subjected to...

INVARIANCE | FIELD | CHARGE-MONOPOLE | OSCILLATOR | BLACK-HOLES | Extended Supersymmetry | YANO TENSORS | DEGENERACIES | SUPERSYMMETRIC MECHANICS | Conformal and W Symmetry | QUANTUM-MECHANICS | EQUATION | PHYSICS, PARTICLES & FIELDS | Spin-orbit interactions | Supersymmetry | Mechanics (physics) | Charged particles | Monopoles | Electric bridges

INVARIANCE | FIELD | CHARGE-MONOPOLE | OSCILLATOR | BLACK-HOLES | Extended Supersymmetry | YANO TENSORS | DEGENERACIES | SUPERSYMMETRIC MECHANICS | Conformal and W Symmetry | QUANTUM-MECHANICS | EQUATION | PHYSICS, PARTICLES & FIELDS | Spin-orbit interactions | Supersymmetry | Mechanics (physics) | Charged particles | Monopoles | Electric bridges

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 04/2020, Volume 2020, Issue 4, pp. 1 - 51

In four spacetime dimensions, all N = 1 supergravity-matter systems can be formulated in the so-called U(1) superspace proposed by Howe in 1981. This paper is...

SUPERFIELD | Supergravity Models | 3-FORM MULTIPLET | CURRENTS | FORMULATION | HIGHER-SPIN SUPERALGEBRAS | CONFORMAL SUPERALGEBRAS | Superspaces | TENSOR | SUPERSPACE | SIGMA-MODELS | AUXILIARY FIELDS | PHYSICS, PARTICLES & FIELDS | Killing | Supersymmetry | Tensors | Field theory | Mathematical analysis | Supergravity

SUPERFIELD | Supergravity Models | 3-FORM MULTIPLET | CURRENTS | FORMULATION | HIGHER-SPIN SUPERALGEBRAS | CONFORMAL SUPERALGEBRAS | Superspaces | TENSOR | SUPERSPACE | SIGMA-MODELS | AUXILIARY FIELDS | PHYSICS, PARTICLES & FIELDS | Killing | Supersymmetry | Tensors | Field theory | Mathematical analysis | Supergravity

Journal Article

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