Supersymmetric Quantum Mechanics and Topology

Author

Wasay, M. Abdul

Source

Advances in High Energy Physics

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-03-28

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Physics

Abstract 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.

American Psychological Association (APA)

Wasay, M. Abdul. 2016. Supersymmetric Quantum Mechanics and Topology. Advances in High Energy Physics،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1095186

Modern Language Association (MLA)

Wasay, M. Abdul. Supersymmetric Quantum Mechanics and Topology. Advances in High Energy Physics No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1095186

American Medical Association (AMA)

Wasay, M. Abdul. Supersymmetric Quantum Mechanics and Topology. Advances in High Energy Physics. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1095186

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1095186