Extended conformal group, geometrical origin of the internal symmetry of hdrons and grand unification of elementary particle interactions

Journal Article · Thu Nov 01 00:00:00 EST 1984 · Hadronic J.; (United States)

OSTI ID:5837353

Bandyopadhyay, P

We have shown here that extended conformal group which includes, apart from conformal transformation, space, time and conformal reflection, can give rise to internal symmetry algebra as well as supersymmetry algebra. To achieve this result, we have dealt with conformal spinors which are taken to be the constituents of hadrons and these split into two Cartan semi-spinors or Dirac spinors in Minkowski space giving rise to particle and antiparticle configurations. This extended conformal group then appears to be the grand unified group of all interactions. Supersymmetry is broken here just by the mass term arising from the interaction potential which destroys conformal invariance. The internal symmetry arises from the discrete symmetry of reflection and various combinations of internal symmetry patterns give rise to strong, weak, electromagnetic and gravitational interactions. The most significant feature of this formalism is that it can well explain why we have only four types of interactions in nature.

• Research Organization: Indian Statistical Instiute Calcutta-700035, India
• OSTI ID: 5837353
• Journal Information: Hadronic J.; (United States), Vol. 7:6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HADRONS
CONFORMAL GROUPS
UNIFIED-FIELD THEORIES
MINKOWSKI SPACE
SPINORS
SUPERSYMMETRY
ELEMENTARY PARTICLES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL SPACE
SPACE
SYMMETRY
SYMMETRY GROUPS
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