TY - JOUR

T1 - Einstein manifolds, Abelian instantons, bundle reduction and the cosmological constant

AU - Soo, Chopin

N1 - Copyright:
Copyright 2005 Elsevier Science B.V., Amsterdam. All rights reserved.

PY - 2001/2/21

Y1 - 2001/2/21

N2 - The antiself-dual projection of the spin connections of certain four-dimensional Einstein manifolds can be Abelian in nature. These configurations signify bundle reductions. By a theorem of Kobayashi and Nomizu such a process is predicated on the existence of a covariantly constant field. It turns out that even without fundamental Higgs fields and other physical matter, gravitational self-interactions can generate this mechanism if the cosmological constant is non-vanishing. This paper identifies the order parameter, and clarifies how these Abelian instanton solutions are associated with a Higgs triplet which causes the bundle reduction from the S O (3) gauge group to U (1).

AB - The antiself-dual projection of the spin connections of certain four-dimensional Einstein manifolds can be Abelian in nature. These configurations signify bundle reductions. By a theorem of Kobayashi and Nomizu such a process is predicated on the existence of a covariantly constant field. It turns out that even without fundamental Higgs fields and other physical matter, gravitational self-interactions can generate this mechanism if the cosmological constant is non-vanishing. This paper identifies the order parameter, and clarifies how these Abelian instanton solutions are associated with a Higgs triplet which causes the bundle reduction from the S O (3) gauge group to U (1).

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U2 - 10.1088/0264-9381/18/4/310

DO - 10.1088/0264-9381/18/4/310

M3 - Article

AN - SCOPUS:0035530336

VL - 18

SP - 709

EP - 717

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 4

ER -