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We formulate the Nambu-Goldstone theorem as a triangular relation betweenpairs of Goldstone bosons with the degenerate vacuum. The vacuum degeneracy isthen a natural consequence of this relation. Inside the scenario of StringTheory, we then find that there is a correspondence between the way how the$D$-branes interact and the properties of the Goldstone bosons.

Spontaneous symmetry breaking as a triangular relation between pairs of Goldstone bosons and the degenerate vacuum: Interactions of D-branes