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Odd coset quantum mechanics
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DOI：10.1016/S0370-2693(03)00393-9.png)
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摘要
En 中文
The standard quantum states of n complex Grassmann variables with a free-particle Lagrangian transform as a spinor of SO(2n). However, the same 'free-fermion' model has a non-linearly realized SU(n\1) symmetry; it can be viewed as the mechanics of a 'particle' on the Grassmann-odd coset space SU(n\1)/U(n). We implement a quantization of this model for which the states with non-zero norm transform as a representation of SU(n\1), the representation depending on the U(1) charge of the wave-function. For n = 2 the wave-function can be interpreted as a BRST superfield. (C) 2003 Elsevier B.V. All rights reserved.
Keyword:
SUPERSYMMETRIC PARTICLE MODEL
2ND-CLASS CONSTRAINTS
SPINNING PARTICLE
SUPERPARTICLE
SYSTEMS
QUANTIZATION
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期刊
IF:
4.5
论文数:
3.2W
被引数:
7.3W
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