Projectively Equivariant Quantization and Symbol calculus in dimension 1|2

Details Projectively Equivariant Quantization and Symbol calculus in dimension 1|2 Projectively Equivariant Quantization and Symbol calculus in dimension 1|2

Publishing date

2011-06-26

URL

arxiv.org/abs/1106.5246v1

Science

Physics

Field

Mathematical Physics

Additional info

9

Type

Scientific paper

Abstract

The spaces of higher-order differential operators (in Dimension 1|2), which are modules over the stringy Lie superalgebra K(2), are isomorphic to the corresponding spaces of symbols as orthosymplectic modules in non resonant cases. Such an osp (2|2)-equivariant quantization, which has been given in second-order differential operators case, keeps existing and unique. We calculate its explicit formula that provides extension in particular order cases.

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