Scale Invariant Gauge Theories and Selfduality in Higher Dimensions

Saclioglu, Cihan

doi:10.1016/0550-3213(86)90452-9

Scale Invariant Gauge Theories and Selfduality in Higher Dimensions

Cihan Saclioglu
(
- Princeton, Inst. Advanced Study
)

Apr 15, 1986

22 pages

Published in:

Nucl.Phys.B 277 (1986) 487-508

Published: 1986

DOI:

10.1016/0550-3213(86)90452-9

Report number:

Print-86-0311 (IAS,PRINCETON)

View in:

AMS MathSciNet

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Abstract: (Elsevier)

We construct generalized d >4 gauge field lagrangians which lead to new self-duality equations and solutions with (finite) action equal to the appropriate Chern number. This extends to d =4 k +2 similar results of Tchrakian et al. for d =4 k . The two classes of theories are unified through Clifford algebra-valued fields. The energy-momentum tensor vanishes for self-dual fields as in d =4. Each lagrangian is shown to admit finite action solutions in its own dimension only. The one-instanton solution for d =6, G=SU(4)≈SO(6), a zero mass fermion solution in the presence of the instanton potential and a class of semi-trivial solutions peculiar to d =4 k +2 are given.

GAUGE FIELD THEORY: YANG-MILLS
GAUGE FIELD THEORY: HIGHER-DIMENSIONAL
FIELD EQUATIONS: SOLUTION
FIELD EQUATIONS: INSTANTON
DUALITY
GAUGE FIELD THEORY: ACTION
FIELD THEORY: BIANCHI IDENTITY
ALGEBRA: CLIFFORD
TENSOR: ENERGY-MOMENTUM
MATHEMATICAL METHODS: TOPOLOGICAL

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