Supersymmetric gauge theories in quantum mechanics |
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| Affiliation: | 1. Institute of Mathematics and Computer Science, The John Paul II Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland;2. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 20072 Minsk, Belarus;3. Belarusian State University, 4 Nezavisimosti Avenue, 220030 Minsk, Belarus;4. University of Economics, The University of Danang, 71 Ngu Hanh Son Str., 590000 Danang, Viet Nam;5. FPHH, Department of Numerical Methods and Statistics, Rousse University, 8 Studentska St., 7017 Rousse, Bulgaria;1. Physics Dept., Old Dominion University, Norfolk VA 23529, United States of America;2. Theory Group, JLAB, 12000 Jefferson Ave, Newport News, VA 23606, United States of America;3. Ecole Normale Superieure, LPENS, 24 rue Lhomond, 75231 Paris Cedex-5, France;4. Université Pierre et Marie Curie, Paris-VI, France;1. Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India;2. Department of Physics, Indian Institute of Technology Delhi, New Delhi 11016, India |
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| Abstract: | A general construction for supersymmetric U(1) gauge invariant Hamiltonians in quantum mechanics is given. For a given number of fermionic and bosonic degrees of freedom it is shown that for four supercharges the interactions are determined uniquely, and coincide with the dimensionally reduced N = 1, d = 3 + 1 supersymmetric electrodynamics. With two supercharges one gets models which cannot be obtained through dimensional reduction. For two special choices of a parameter one recovers the dimensionally reduced d = 1 + 1 Weyl supersymmetric and Majorana supersymmetric electrodynamics. |
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