Multiple fundamental strings and waves to non-linear order in the background fields

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The Chern-Simons actions of the multiple fundamental string and the multiple gravitational wave are established to full order in the background fields. Gauge invariance is checked. Special attention is drawn to the non-Abelian gauge transformations of the world-volume fields.
Latex, 15 pages, 2 figures Edit: modified text throughout paper to clarify, corrected mistake in discussion, added appendix and figure, added references

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