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A package for computing N = 2 superfield operator product expansions

1995/12/12 by Sergey Krivonos, S Krivonos, Kris Thielemans +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.1088/0264-9381/13/11/006

published as Class.Quant.Grav. 13 (1996) 2899-2910 · 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/

arxiv created 1995/12/12 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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