Group theoretic approach to calculate the ξ- pseudo Dirac operator and its spectrum on AdS2

Abstract

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.

Keywords

• ξ - pseudo dirac operator
• ξ - pseudo chirality operator
• spinor bundle
• gauge fields
• spectrum