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

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 h...

Full description

Saved in:

Bibliographic Details
Published in:	Iranian Journal of Physics Research Vol. 23; no. 2; pp. 333 - 342
Main Authors:	Mehdi Lotfizadeh, Mohammad Mahmoodi, Behnam Mohammadi
Format:	Journal Article
Language:	English
Published:	Isfahan University of Technology 01-09-2023
Subjects:	gauge fields spectrum spinor bundle ξ - pseudo chirality operator ξ - pseudo dirac operator
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
ISSN:	1682-6957 2345-3664
DOI:	10.47176/ijpr.23.2.31665