Supersymmetric-time evolution. (English) Zbl 0943.58004

Cerdonio, M. (ed.) et al., General relativity and gravitational physics. Proceedings of the 10th Italian conference, Bardonecchia, Italy, September 1-5, 1992. Singapore: World Scientific. 467-471 (1994).
From the introduction: “We consider the supersymmetric \((1,1)\) evolution parameter (time). The generator of this evolution is the supersymmetric derivative \(D_t= \left({\partial\over\partial\theta}+ \theta{\partial\over\partial x}\right)\) for the real case and \(\partial_t= \left({\partial\over\partial\theta}- i\theta{\partial\over\partial x}\right)\) for the complex case, where \(\theta\) is odd and \(x\) is even. These operators are the generators of real and complex supersymmetric transformations.
Differential equations with supersymmetric \((1,1)\) time play an important role in applications to supersymmetric quantum mechanics”.
For the entire collection see [Zbl 0936.00049].


58C50 Analysis on supermanifolds or graded manifolds
35Q99 Partial differential equations of mathematical physics and other areas of application
58A50 Supermanifolds and graded manifolds