Democracy of internal symmetries in supersymmetrical quantum field theory

Journal Article · Tue Dec 01 04:00:00 EST 1981 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524856· OSTI ID:5931819

Lopuszanski, J T

The freedom of choice of some discrete and internal symmetries in the supersymmetric, massive, interacting quantum field theory is discussed. It is shown that the discrete symmetry consisting of changing the sign of some (not all) scalar fields is incompatible with the supersymmetric structure of the theory. It is further demonstrated that an internal symmetry which transforms only some of the fields of fixed spin leaving the other fields invariant and which acts nontrivially on the supercharges can not be admitted as a symmetry; although it can be a good internal symmetry in absence of supersymmetric covariance. Moreover, in case of a model consisting of scalar, spinor and vector fields even a symmetry which transforms all of the scalar (vector) fields leaving spinor and vector (scalar) fields unaffected is ruled out provided it acts nontrivially on some of the supercharges.

• Research Organization: Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland
• OSTI ID: 5931819
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 22:12; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
COMMUTATION RELATIONS
FIELD THEORIES
MAPPING
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SCALAR FIELDS
SPIN
SUPERSYMMETRY
SYMMETRY
TOPOLOGICAL MAPPING
TRANSFORMATIONS