A Mathematica Package for Computing N=2 Superfield Operator Product Expansions

Details A Mathematica Package for Computing N=2 Superfield Operator Product Expansions A Mathematica Package for Computing N=2 Superfield Operator Product Expansions

1995-12-05

arxiv.org/abs/hep-th/9512029v2

Class.Quant.Grav. 13 (1996) 2899-2910

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX. Minor corrections, particularly to Mathematica output Out[6],Out[9] in section 4. Available through anonymous

Scientific paper

10.1088/0264-9381/13/11/006

We describe a general purpose Mathematica package for computing Superfield Operator Product Expansions in meromorphic $N=2$ superconformal field theory. Given the SOPEs for a set of ``basic" superfields, SOPEs of arbitrarily complicated composites can be computed automatically. Normal ordered products are always reduced to a standard form. It is possible to check the Jacobi identities, and to compute Poisson brackets (``classical SOPEs''). We present two explicit examples: a construction of the ``small'' $N=4$ superconformal algebra in terms of $N=2$ superfields, and a realisation of the $N=2$ superconformal algebra in terms of chiral and antichiral fermionic superfields.

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