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de Rham cohomology of SO(n) by supersymmetric quantum mechanics (1997)

Oshima, Kazuto

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 38 (1997), S. 6281-6286

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: We study supersymmetric quantum mechanics on SO(n) to examine Witten's Morse theory concretely. We give a simple instanton picture of the de Rham cohomology of SO(n). We show how the reflection symmetries of the theory select the true vacuums. The number of selected vacuums agrees with the de Rham cohomology of SO(n), at least for n≤5. © 1997 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.532212

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