We discuss an N = 2 quantum mechanics with or without a central charge. A representation is constructed with the number of bosonic degrees of freedom less than one-half of the fermionic degrees of freedom. We suggest a systematic method of reducing the bosonic degrees of freedom called "dynamical reduction". Our consideration opens a problem of a general classification of nonstandard representations of N = 2 superalgebra.
Bibliographical noteFunding Information:
This work was supported by DOE grant DE-FG02-94ER408. The work of A.L. was supported in part by RFFI grant 01-01-00548, Support for Scienti c Schools grant 00-15-96-557, and INTAS grant 99-590.
- Kähler geometry
- Mirror symmetry
- Supersymmetric quantum mechanics