We realize the string/$(D-5)$-brane duality on the action level between the$T^{10-D}$-compactified heterotic string effective action and the $(D-5)$-brane effective action in $D$ dimensions by managing a Lagrange multiplierfield. A dual dictionary is composed to be available for the translationbetween the elementary or solitonic solutions of the dual pair of actions. Inthe same way the $S$ duality is also reconstructed on the action level as adouble dualization for the $T^6$-compactified heterotic string effectiveaction.
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机译：我们在$ T ^ {10-D} $压缩的杂种字符串有效动作和$（D-5）$-brane有效动作之间的作用水平上实现了字符串/ $（D-5）$-brane对偶通过管理Lagrange乘数字段来确定$ D $维度。对偶字典被构造为可用于对偶动作的基本解或孤子解之间的翻译。同样，$ S $对偶性在操作级别上也作为$ T ^ 6 $-压缩的杂种字符串有效动作的双重对偶进行了重构。
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