CONFORMAL SPINNING QUANTUM PARTICLES IN COMPLEX MINKOWSKI SPACE AS CONSTRAINED NONLINEAR SIGMA MODELS IN U(2, 2) AND BORN'S RECIPROCITY

DOI10.1142/S0219887811005282zbMath1222.81253arXiv1006.5958WikidataQ125648721 ScholiaQ125648721MaRDI QIDQ3087428

Manuel Calixto, Emilio Pérez-Romero

Publication date: 16 August 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5958

zbMATH Keywords

reproducing kernelscoherent statesnonlinear sigma modelsCartan domainconformal relativityBorn reciprocityconstrained quantization

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Conformal mappings of special domains (30C20) Semisimple Lie groups and their representations (22E46) Kähler manifolds (32Q15) Geometry and quantization, symplectic methods (81S10)

Related Items

SOME CONSEQUENCES OF BORN'S RECIPROCAL RELATIVITY IN PHASE-SPACES, On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states, Massive conformal particles with non-abelian charges from free \(\text{U}(2N, 2N)\)-twistor dynamics: quantization and coherent states

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