Damghan University Press Iranian Journal of Astronomy and Astrophysics 2322-4924 5 2 2018 10 01 Massive superparticles quantization in cosmological supergravity کوانتش ابرذرات سنگین در ابرگرانش کیهانی 99 104 149 10.22128/ijaa.2018.333.1049 EN Maede Shaban Nataj Mazandaran University Abolfazl Behzadi mathematics and statistics, university of mazandaran, babolsar, iran Behnam Pourhassan School of Physics, University of Damghan, Damghan, Iran 0000-0003-1338-7083 Journal Article 2019 10 22 In this paper, we investigate geometric quantization of massive superparticles in four dimensional space-time, which preserves $frac{1}{4}$ of the target space supersymmetry. Because the black holes (also massive black holes) are strong gravitational system, hence, application of such quantization to the supersymmetric cosmological black<br />holes would give us information about quantum gravity. As such supermassive black holes are candidate of dark matter hence our calculations are important from cosmological point of view. The world-line action of this model contains a Wess-Zumino term which breaks $d=4$ Lorentz symmetry. We solve Hamiltonian equation and obtain unique solution, which help to calculate prequantization operator. It yields to corresponding Dirac equation<br />which is important in relativistic quantum mechanics. It will be useful in the second quantization of the same models. On the other hand superparticles are itself candidate of dark matter and dark matter are important from their gravitation effects, hence their quantization may yields to quantum gravity theory. https://ijaa.du.ac.ir/article_149_cfcfa350585a5aab0b64a95d40ba8390.pdf