Abstract
Abstract
We show that in many cases nontrivial and complicated supersymmetric quantum mechanical (SQM) models can be obtained from the simple model describing free dynamics in flat complex space by two operations: (i) Hamiltonian reduction and (ii) similarity transformation of the complex supercharges. We conjecture that it is true for any SQM model.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference52 articles.
1. E. Witten, Dynamical breaking of supersymmetry, Nucl. Phys.
B 188 (1981) 513 [INSPIRE].
2. N. Mavromatos, A note on the Atiyah-Singer index theorem for manifolds with totally antisymmetric h torsion, J. Phys.
A 21 (1988) 2279 [INSPIRE].
3. J.-M. Bismut, A local index theorem for non-Kähler manifolds, Math. Ann.
284 (1989) 681.
4. E. Ivanov and A. Smilga, Dirac operator on complex manifolds and supersymmetric quantum mechanics, Int. J. Mod. Phys.
A 27 (2012) 1230024 [arXiv:1012.2069] [INSPIRE].
5. A.V. Smilga, Supersymmetric proof of the Hirzebruch-Riemann-Roch theorem for non-Kähler manifolds, SIGMA
8 (2012) 003 [arXiv:1109.2867] [INSPIRE].
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