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

High Energy Physics - Theory 2009-10-28 v2

Abstract

We describe a general purpose Mathematica package for computing Superfield Operator Product Expansions in meromorphic N=2N=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=4N=4 superconformal algebra in terms of N=2N=2 superfields, and a realisation of the N=2N=2 superconformal algebra in terms of chiral and antichiral fermionic superfields.

Keywords

Cite

@article{arxiv.hep-th/9512029,
  title  = {A Mathematica Package for Computing N=2 Superfield Operator Product Expansions},
  author = {Sergey Krivonos and Kris Thielemans},
  journal= {arXiv preprint arXiv:hep-th/9512029},
  year   = {2009}
}

Comments

15 pages, LaTeX. Minor corrections, particularly to Mathematica output Out[6],Out[9] in section 4. Available through anonymous ftp from ftp://euclid.tp.ph.ic.ac.uk/papers/ or on WWW at http://euclid.tp.ph.ic.ac.uk/Papers/