Abstract
A super Krichever construction is used to produce solutions to the various super Kadomtsev-Petviashvili (SKP) hierarchies from geometric data consisting primarily of a suitable algebraic supercurve of genus g (generally not a super Riemann surface) and a line bundle of degree g-1 on it. The known SKP hierarchies deform both the supercurve and the bundle, in contrast to ordinary KP which deforms bundles but not curves, and are distinguished by the specific deformations they implement. A new SKP hierarchy is introduced which deforms the bundle only.
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© 1991 Springer-Verlag
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Rabin, J.M. (1991). Krichever construction of solutions to the super KP hierarchies. In: Bartocci, C., Bruzzo, U., Cianci, R. (eds) Differential Geometric Methods in Theoretical Physics. Lecture Notes in Physics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53763-5_69
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DOI: https://doi.org/10.1007/3-540-53763-5_69
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