Supersymmetric quantum mechanics and topology

Autor:	Wasay, Muhammad Abdul
Rok vydání:	2016
Předmět:	High Energy Physics - Theory
Zdroj:	Adv.High Energy Phys. 2016 (2016) 3906746
Druh dokumentu:	Working Paper
DOI:	10.1155/2016/3906746
Popis:	Supersymmetric quantum mechanical models are computed by the Path integral approach. In the $\beta\rightarrow0$ limit, the integrals localize to the zero modes. This allows us to perform the index computations exactly because of supersymmetric localization, and we will show how the geometry of target space enters the physics of sigma models resulting in the relationship between the supersymmetric model and the geometry of the target space in the form of topological invariants. Explicit computation details are given for the Euler characteristics of the target manifold, and the index of Dirac operator for the model on a spin manifold. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.07691 Zobrazit plný text záznamu View this record from Arxiv