TY - JOUR

T1 - Generalized semilocal theories and higher Hopf maps

AU - Hindmarsh, Mark

AU - Holman, Richard

AU - Kephart, Thomas W.

AU - Vachaspati, Tanmay

N1 - Funding Information:
This research was supported in part by the National Science Foundation under grant No. PHY89-04035. R.H. was supported in part by DOE contract DE-FGO2-91ER40682. T.W.K. was supported by the DOE (grant DE-FGO5-85ER40266). M.H. wishes to thank the Theoretical Division at the Los Alamos National Laboratory and the Theoretical Astrophysics group at Fermilab for their hospitality while this work was being completed.

PY - 1993/9/6

Y1 - 1993/9/6

N2 - In semilocal theories, the vacuum manifold is fibered in a non-trivial way the action of the gauge group. Here we generalize the original semilocal theory (which was based on the Hopf bundle S3S1 → S2) to realize the next Hopf bundle S3S3 → S4, and its extensions S2n+1 → S3 S4, and its extensions S2n+12n+1S3 → HPn. The semilocal defects in this class of theories are classified by π3S3), and are interpreted as constrained instantons or generalized sphaleron configurations. We fail to find a field theoretic realization of the final Hopf bundle S15S7 → S8, but are able to construct other semilocal spaces realizing Stiefel bundles over grassmannian spaces.

AB - In semilocal theories, the vacuum manifold is fibered in a non-trivial way the action of the gauge group. Here we generalize the original semilocal theory (which was based on the Hopf bundle S3S1 → S2) to realize the next Hopf bundle S3S3 → S4, and its extensions S2n+1 → S3 S4, and its extensions S2n+12n+1S3 → HPn. The semilocal defects in this class of theories are classified by π3S3), and are interpreted as constrained instantons or generalized sphaleron configurations. We fail to find a field theoretic realization of the final Hopf bundle S15S7 → S8, but are able to construct other semilocal spaces realizing Stiefel bundles over grassmannian spaces.

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U2 - 10.1016/0550-3213(93)90597-I

DO - 10.1016/0550-3213(93)90597-I

M3 - Article

AN - SCOPUS:0348056796

SN - 0550-3213

VL - 404

SP - 794

EP - 804

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -