Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-02-17
J.Math.Phys. 41 (2001) 5490
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 25 pages, 2 figures, new title, minor changes
Scientific paper
Physically relevant gauge and gravitational theories can be seen as special members of hierarchies of more elaborate systems. The Yang-Mills (YM) system is the first member of a hierarchy of Lagrangians which we will index by $p_1$, and the Einstein-Hilbert (EH) system of general relativity is the first member of another hierarchy which we index by $p_2$. In this paper, we study the classical equations of the $p_1 = 1,2$ YM hierarchy considered in the background of special geometries (Schwarzschild, deSitter,anti-deSitter) of the $p_2=1,2,3$ EH hierarchy. Solutions are obtained in various dimensions and lead to several examples of non-self-dual YM fields. When $p_1=p_2$ self-dual solutions exist in addition. Their action is equal to the Chern-Pontryagin charge and can be compared with that of the non-self-dual solutions.
Brihaye Yves
Chakrabarti Alok
Tchrakian D. H.
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