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Duality in N = 2 nonlinear sigma–models
Author(s) -
Penati Silvia,
Refolli Andrea,
Van Proeyen Antoine,
Za Daniela
Publication year - 1999
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(199901)47:1/3<263::aid-prop263>3.0.co;2-o
Subject(s) - multiplet , superfield , superspace , sigma model , scalar (mathematics) , duality (order theory) , quantization (signal processing) , sigma , physics , mathematical physics , nonlinear system , supersymmetry , theoretical physics , pure mathematics , mathematics , quantum mechanics , algorithm , geometry , spectral line
We consider N = 2 supersymmetric nonlinear sigma–models in two dimensions defined in terms of the nonminimal scalar multiplet. We compute in superspace the one–loop beta function and show that the classical duality between these models and the standard ones defined in terms of chiral superfields is maintained at the quantum one–loop level. Our result provides an explicit application of the recently proposed quantization of the nonminimal scalar multiplet via the Batalin–Vilkovisky procedure.