Finiteness and anomalies in (4,0) supersymmetric sigma models

1992/03/25 by P. S. Howe, Paul Howe, G. Papadopoulos · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #hep-th

paper · pdf · doi:10.1016/0550-3213(92)90651-q

published as Nucl.Phys.B381:360-372,1992 · 19 pages

arxiv created 1992/03/25 · openalex publication_date 1992/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Power-counting arguments based on extended superfields have been used to argue that two-dimensional supersymmetric sigma models with (4,0) supersymmetry are finite. This result is confirmed up to three loop order in pertubation theory by an explicit calculation using (1,0) superfields. In particular, it is shown that the finite counterterms which must be introduced into the theory in order to maintain (4,0) supersymmetry are precisely the terms that are required to establish ultra-violet finiteness.

Citations

• Supersymmetric String Solitons

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