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Conformal bridge in a cosmic string background
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DOI：10.1007/JHEP05(2021)165.png)
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摘要
En 中文
Hidden symmetries of non-relativistic so (2, 1) congruent to sl(2, R) invariant systems in a cosmic string background are studied using the conformal bridge transformation. Geometric properties of this background are analogous to those of a conical surface with a deficiency/excess angle encoded in the geometrical parameter ff, determined by the linear positive/negative mass density of the string. The free particle and the harmonic oscillator on this background are shown to be related by the conformal bridge transformation. To identify the integrals of the free system, we employ a local canonical transformation that relates the model with its planar version. The conformal bridge transformation is then used to map the obtained integrals to those of the harmonic oscillator on the cone. Well-defined classical integrals in both models exist only at ff = q/k with q, k = 1, 2,..., which for q > 1 are higher-order generators of finite nonlinear algebras. The systems are quantized for arbitrary values of ff; however, the well-defined hidden symmetry operators associated with spectral degeneracies only exist when ff is an integer, that reveals a quantum anomaly.
Keyword:
Conformal and W Symmetry
String theory and cosmic strings
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator.png)
PHYSICS LETTERS BOAAI
PHYSICS LETTERS BIF4.5
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