\(\text{SL}(N+1,\mathbb R)\) Toda solitons in supergravities. (Q2773881)

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scientific article; zbMATH DE number 1712457
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\(\text{SL}(N+1,\mathbb R)\) Toda solitons in supergravities.
scientific article; zbMATH DE number 1712457

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    27 February 2002
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    \(\text{SL}(N+1,\mathbb R)\) Toda solitons in supergravities. (English)
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    We construct \((D - 3)\)-brane and instanton solutions using \(N\leq 10 - D\) one-form field strengths in \(D\) dimensions, and show that the equations of motion can be cast into the form of the \(\text{SL}(N+1,\mathbb R)\) Toda equations. For generic values of the charges, the solutions are nonsupersymmetric; however, they reduce to the previously known multiple-charged supersymmetric solutions when appropriate charges vanish.
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