N=1 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint
Autor: | Konstantin Eder, Hanno Sahlmann |
---|---|
Rok vydání: | 2021 |
Předmět: |
Physics
Spacetime 010308 nuclear & particles physics Supergravity High Energy Physics::Phenomenology Dirac algebra Supersymmetry Loop quantum gravity 01 natural sciences High Energy Physics::Theory Quantization (physics) symbols.namesake Theoretical physics Hamiltonian constraint 0103 physical sciences symbols Covariant transformation 010306 general physics |
Zdroj: | Physical Review D. 103 |
ISSN: | 2470-0029 2470-0010 |
Popis: | In this paper, the classical and quantum theory of $\mathcal{N}=1$ supergravity in four spacetime dimensions will be studied in the framework of loop quantum gravity. We discuss the canonical analysis of the supergravity Holst action as first introduced by Tsuda. In this way, we also derive a compact expression of the supersymmetry constraint, which plays a crucial role in canonical supergravity theories, akin to the role of the Hamiltonian constraint in nonsupersymmetric generally covariant theories. The resulting theory is then quantized using loop quantum gravity methods. In particular, we propose and discuss a quantization of the supersymmetry constraint and derive explicit expressions of the action of the resulting operator. This is important as it is the first step on the way to analyzing the Dirac algebra generated by supersymmetry and Hamiltonian constraint in the quantum theory and for finding physical states. We also discuss some qualitative properties of such solutions of the SUSY constraint. |
Databáze: | OpenAIRE |
Externí odkaz: |