Fermionic path integrals,the nicolai map and the witten index |
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| Affiliation: | 1. Yeditepe University, Physics Department, Istanbul 34755, Turkey;2. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784, Bulgaria;3. G. Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784 Sofia, Bulgaria;4. Joint Institute for Nuclear Research, Dubna, Moscow Distr. 141980, Russia;5. Institute of Radiation Problems, Azerbaijan National Academy of Sciences, Baku АZ1143, Azerbaijan;6. Azerbaijan State Oil and Industry University, Scientific-Research Institute Geotecnological Problems of Oil, Gas and Chemistry, AZ1010 Baku, Azerbaijan;7. Institute of Electronics, Bulgarian Academy of Sciences, Sofia 1784, Bulgaria;8. Institute of Nuclear Physics, Polish Academy of Sciences, Krakow PL-31342, Poland;9. Dubna State University, Dubna, Moscow Distr. 141980, Russia;10. Acad. E. Budevski Institute of Electrochemistry and Energy Systems, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria;11. Institute of Experimental and Applied Physics, Czech Technical University in Prague, CZ-11000 Prague, Czech Republic;1. National Institute of Aerospace, Hampton, VA, 23666, United States;2. NASA Langley Research Center, Hampton, VA, 23681, United States;3. Texas A&M University, College Station, TX, 77843, United States;4. NASA Ames Research Center, Moffett Field, CA, 94035, United States;5. NASA Biological and Physical Sciences Division, NASA Headquarters, Washington, DC, 20546, United States;6. PO Box 3488, Rocklin, CA, 95677, United States |
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| Abstract: | We present an explicit evaluation of the coherent-state fermion path integral and discuss our results in the light of supersymmetric quantum mechanics, the Nicolai map and the Witten index. |
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