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Minimal Bosonization of Supersymmetry with Z p ‐graded Parity
Author(s) -
Chung Won Sang
Publication year - 2015
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/prop.201400055
Subject(s) - bosonization , parity (physics) , supersymmetry , degenerate energy levels , r parity , degeneracy (biology) , physics , mathematics , particle physics , quantum mechanics , fermion , bioinformatics , biology
In this paper we consider the Z p ‐graded parity generalizing the ordinary (or Z 2 ‐graded ) parity. Using the Z p ‐graded parity operator, we discuss the minimal bosonization of the N=2 SUSY with Z p ‐graded parity. The lowest energy level is shown to be infinitely degenerate. In order to avoid the infinite degeneracy of the ground state we introduce the paraboson algebra to obtain the para‐supersymmetry. Finally, we discuss the hidden SUSY with Z 3 ‐graded parity.