Residual Supersymmetry of Compactified D=10 Supergravity

de Wit, B.; Smit, D.J.; Hari Dass, N.D.

doi:10.1016/0550-3213(87)90267-7

Residual Supersymmetry of Compactified D=10 Supergravity

May, 1986

27 pages

Published in:

Nucl.Phys.B 283 (1987) 165

Published: 1987

DOI:

10.1016/0550-3213(87)90267-7

Report number:

NIKHEF-H-86-15

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Abstract: (Elsevier)

The conditions for residual supersymmetry in compactified ten-dimensional supergravity theories are investigated, including the effect of a non-constant “warp factor”. The analysis is based on on-shell transformation laws which implies that certain linear combinations of classical field equations must be satisfied. The conditions for supersymmetry are, in general, not very restrictive. When, in addition, one assumes the validity of Bianchi identities, two independent contractions of the Einstein equation are implied. These equations exclude d = 4 de Sitter space; for compactifications to d = 4 Minkowski space they only allow purely metric Ricci-flat field configurations with constant warp factor.

SUPERGRAVITY
FIELD THEORY: TEN-DIMENSIONAL
FIELD THEORY: compactification
SUPERSYMMETRY: TRANSFORMATION
Einstein equation
GAUGE FIELD THEORY: YANG-MILLS

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