The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 23 2 2023 08 23 Group theoretic approach to calculate the ξ- pseudo Dirac operator and its spectrum on AdS2 Group theoretic approach to calculate the ξ- pseudo Dirac operator and its spectrum on AdS2 333 342 3402 10.47176/ijpr.23.2.31665 FA Mehdi Lotfizadeh Department of Physics, Urmia University, Urmia, Iran Mohammad Mahmoodi Department of Physics, Urmia University, Urmia, Iran Behnam Mohammadi Department of Physics, Urmia University, Urmia, Iran Journal Article 2023 03 25 ξ-pseudo Dirac operator has recently been constructed with the help of ξ-pseudo modules and appropriate projectors on AdS² space. In this article, this operator will be constructed with the help of group theory. For this purpose, firstly, the spin structure of AdS² space is built and then,with the help of relations related to right and left actions and Maurer-Cartan forms, ξ- pseudo Dirac operator and then its scalar form in, instanton and non-instanton mode is introduced will be and at the end its spectrum is also calculated in different states of this ξ-pseudo operator. . ξ-pseudo Dirac operator has recently been constructed with the help of ξ-pseudo modules and appropriate projectors on AdS² space. In this article, this operator will be constructed with the help of group theory. For this purpose, firstly, the spin structure of AdS² space is built and then,with the help of relations related to right and left actions and Maurer-Cartan forms, ξ- pseudo Dirac operator and then its scalar form in, instanton and non-instanton mode is introduced will be and at the end its spectrum is also calculated in different states of this ξ-pseudo operator. . https://ijpr.iut.ac.ir/article_3402_91d0dbfd38d950cb716c4dd26c5da08a.pdf