An Isomonodromic Approach to Scalar Fields on Sasaki–Einstein Spaces Yp, q

IF 0.4 Q4 PHYSICS, PARTICLES & FIELDS
V. Avramov, R. Rashkov, T. Vetsov
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引用次数: 0

Abstract

In this study, we investigate the Schrödinger equation equation for scalar particles on the Yp, q. An equation of general Heun type is obtained for one of the coordinates and its associated Painlevé VI equation is derived. Consequently, we take some particular limits of the Yp,q geometry, which result in a coalescence of singularities of the equation of motion. Finally, the associated isomondromic flows are examined.

笹木-爱因斯坦空间 Yp, q 上标量场的等单旋转方法
在这项研究中,我们研究了 Yp, q 上标量粒子的薛定谔方程。我们得到了其中一个坐标的一般 Heun 型方程,并推导出与之相关的 Painlevé VI 方程。因此,我们对 Yp,q 几何图形进行了一些特殊的限制,这导致了运动方程奇点的凝聚。最后,我们对相关的等容流动进行了研究。
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来源期刊
Physics of Particles and Nuclei Letters
Physics of Particles and Nuclei Letters PHYSICS, PARTICLES & FIELDS-
CiteScore
0.80
自引率
20.00%
发文量
108
期刊介绍: The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.
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