Symplectic geometry and Noether charges for Hopf algebra space-time symmetries

Abstract

There has been a certain interest in some recent works in the derivation of Noether charges for Hopf-algebra space-time symmetries. Such analyses relied rather heavily on delicate manipulations of the fields of non-commuting coordinates whose charges were under study. Here we derive the same charges in a "coordinate-independent" symplectic-geometry type of approach and find results that are consistent with the ones of hep-th/0607221.

arXiv comment12 pages, RevTex4; clarifying remarks added and incorrect statement rectified; typos corrected

References in corpus (12)

• Quantum gravity and minimum length
• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• 3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory
• Doubly Special Relativity theories as different bases of $\kappa$--Poincaré algebra
• New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
• Non-commutative space-time of Doubly Special Relativity theories
• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Coproduct and star product in field theories on Lie-algebra non-commutative space-times
• Hopf-algebra description of noncommutative-spacetime symmetries
• Generalized Weyl systems and kappa-Minkowski space
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime

Cited by in corpus (36)

• Minimal Length Scale Scenarios for Quantum Gravity
• Kappa-Minkowski space-time and the star product realizations
• Twisted Statistics in kappa-Minkowski Spacetime
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Fock space, quantum fields and kappa-Poincaré symmetries
• Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
• Scalar Field Theory on Non-commutative Snyder Space-Time
• Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
• Generalized kappa-deformed spaces, star-products, and their realizations
• Lorentz invariant field theory on kappa-Minkowski space
• A no-pure-boost uncertainty principle from spacetime noncommutativity
• Anatomy of a deformed symmetry: field quantization on curved momentum space
• Noncommutative Differential Forms on the kappa-deformed Space
• Rainbow statistics
• Pauli-Jordan Function and Scalar Field Quantization in $\kappa$-Minkowski Noncommutative Spacetime
• The Hidden Quantum Groups Symmetry of Super-renormalizable Gravity
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Interplay between curvature and Planck-scale effects in astrophysics and cosmology
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• $\kappa$-Deformed Phase Space, Hopf Algebroid and Twisting
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• $\kappa$-deformed complex fields and discrete symmetries
• Testing Noncommutative Spacetimes and Violations of the Pauli Exclusion Principle with underground experiments
• Strongest atomic physics bounds on Non-Commutative Quantum Gravity Models
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Scalar Field theory in $\kappa$-Minkowski spacetime from twist
• Differential forms and k-Minkowski spacetime from extended twist
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• On the 5D differential calculus and translation transformations in 4D kappa-Minkowski noncommutative spacetime
• Experimental test of Non-Commutative Quantum Gravity by VIP-2 Lead
• Blackbody radiation in κ-Minkowski spacetime
• Neutron-antineutron transition as a test-bed for dynamical CPT violations
• Quantum particles in non-commutative space-time: an identity crisis
• The covariant and on-shell statistics in kappa-deformed spacetime
• Primitively divergent diagrams in $\kappa$-deformed scalar field with quartic self-interaction