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Wasay, Muhammad Abdul
Funding organisation: SCOAP3, CERN, Geneva (Switzerland)
arXiv e-print [ PDF ]2016
Funding organisation: SCOAP3, CERN, Geneva (Switzerland)
arXiv e-print [ PDF ]2016
AbstractAbstract
[en] Supersymmetric quantum mechanical models are computed by the path integral approach. In the β→0 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.
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Source
Available from http://dx.doi.org/10.1155/2016/3906746; Available from http://repo.scoap3.org/record/14929; PUBLISHER-ID: 3906746; ARXIV: arXiv:1603.07691; OAI: oai:repo.scoap3.org:14929; This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Advances in High Energy Physics (Online); ISSN 1687-7365;
; v. 2016; [10 p.]

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