Self-duality and soldering in odd dimensions

Abstract

Using the recently developed soldering formalism we highlight certain features of quantum mechanical models. The complete correspondence between these models and self dual field theoretical models in odd dimensions is established. The distinction between self duality and self dual factorisation in these dimensions is clarified.

14 pages, Latex

References in corpus (2)

• Bosonisation and Duality Symmetry in the Soldering Formalism
• The Chiral Oscillator and its Applications in Quantum Theory

Cited by in corpus (23)

• UV divergence-free QFT on noncommutative plane
• Isotropic representation of noncommutative 2D harmonic oscillator
• Noncommutative 3D harmonic oscillator
• A Canonical Approach to the Quantization of the Damped Harmonic Oscillator
• Chiral decomposition in the non-commutative Landau problem
• Generalized soldering of $\pm 2$ helicity states in $D=2+1$
• Self dual models and mass generation in planar field theory
• Canonical transformations and soldering
• Generalized duality between local vector theories in $D=2+1$
• Generalizing the Soldering procedure
• Duality of parity doublets of helicity $\pm 2$ in $D=2+1$
• Interference of Spin-2 Self-Dual Modes
• On higher spin analogues of linearized Topologically Massive Gravity and linearized "New Massive Gravity"
• Higher order self-dual models for spin-3 particles in $D=2+1$
• Wigner's little group as a gauge generator in linearized gravity theories
• Soldering spin-3 opposite helicities in $D=2+1$
• Wigner's little group, gauge transformations and dimensional descent
• Master actions for massive spin-3 particles in D=2+1
• Some considerations on duality concerning kappa-Minkowski spacetime theories
• Suppressing vacuum fluctuations with vortex excitations
• Dual composition of odd-dimensional models
• Self-dual models in $D=2+1$ from dimensional reduction
• Multiflavor Soldering