On Stochastic Evolutions and Superconformal Field Theory

Details On Stochastic Evolutions and Superconformal Field Theory On Stochastic Evolutions and Superconformal Field Theory

2004-07-21

arxiv.org/abs/math-ph/0407049v1

Nucl.Phys. B704 (2005) 475-489

Physics

Mathematical Physics

LaTeX2e, 15 pages

Scientific paper

10.1016/j.nuclphysb.2004.10.003

Links between certain stochastic evolutions of conformal maps and conformal field theory have been studied in the realm of SLE and by utilizing singular vectors in highest-weight modules of the Virasoro algebra. It was recently found that this scenario could be extended to stochastic evolutions of superconformal maps of N=1 superspace with links to superconformal field theory and singular vectors of the N=1 superconformal algebra in the Neveu-Schwarz sector. Here we discuss the analogous extension to the Ramond sector. We also discuss how the links are modified when an unconventional superconformal structure or superderivative is employed.

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