Null structure groups in eleven dimensions

Journal Article · Wed Feb 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.045011· OSTI ID:20776783

Cariglia, Marco

We classify all the structure groups which arise as subgroups of the isotropy group (Spin(7)xR{sup 8})xR, of a single null Killing spinor in 11 dimensions. We construct the spaces of spinors fixed by these groups. We determine the conditions under which structure subgroups of the maximal null structure group (Spin(7)xR{sup 8})xR may also be embedded in SU(5), and hence the conditions under which a supersymmetric spacetime admits only null, or both timelike and null, Killing spinors. We discuss how this purely algebraic material will facilitate the direct analysis of the Killing spinor equation of 11 dimensional supergravity, and the classification of supersymmetric spacetimes therein.

• OSTI ID: 20776783
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 4; Other Information: DOI: 10.1103/PhysRevD.73.045011; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ISOTROPY
MANY-DIMENSIONAL CALCULATIONS
QUANTUM FIELD THEORY
SPACE
SPACE-TIME
SPIN
SPINORS
SU-5 GROUPS
SUPERGRAVITY
SUPERSYMMETRY