AdS2n spaces from SO(2n - 1, 2) instantons

Details AdS2n spaces from SO(2n - 1, 2) instantons AdS2n spaces from SO(2n - 1, 2) instantons

Aug 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cqgra..20.3577c&link_type=abstract

Classical and Quantum Gravity, Volume 20, Issue 16, pp. 3577-3592 (2003).

Computer Science

1

Scientific paper

Conformally invariant sigma models in D = 2n dimensions with target non-compact SO(2n, 1) groups are reviewed. Despite the non-compact nature of the SO(2n, 1), the classical action and Hamiltonian are positive definite. Instanton field configurations obeying a double self-duality condition are found to correspond geometrically to conformal stereographic mappings of R2n into the Euclidean signature AdS2n spaces. The direct link among generalized Yang Mills systems, double-self-dual generalized Einstein Cartan backgrounds, AdS2n spaces and p-branes, when d = p + 1 = 2n = 4k is established.

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