Fierz identities for real Clifford algebras and the number of supercharges

Journal Article · Wed May 01 00:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526539· OSTI ID:5950964

Baake, M; Reinicke, P; Rittenberg, V

One considers supersymmetric gauge theories in quantum mechanics with the bosons and fermions belonging to the adjoint representation of the gauge group. One shows that the supersymmetry constraints are related to the existence of certain Fierz identities for real Clifford algebras. These identities are valid when one has 2, 4, 8, and 16 supercharges.

• Research Organization: Physikalisches Institut, Bonn University, D-5300 Bonn 1, Bonn, Federal Republic of Germany
• OSTI ID: 5950964
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANGULAR MOMENTUM OPERATORS
BOSONS
COMMUTATORS
FERMIONS
FIELD THEORIES
FIERZ-PAULI THEORY
GAUGE INVARIANCE
GROUP THEORY
HAMILTONIANS
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
PAULI SPIN OPERATORS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
SUPERSYMMETRY
SYMMETRY