Willmore-Chen branes and Hopf T-duality

Physics

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Scientific paper

We propose and study WCh-branes of M-theory and type IIA theory on backgrounds that are related by Hopf T-duality. The dynamics of these branes, with a reasonable degree of gauge symmetry, is reduced to that for particles that evolve somewhere along elastic worldlines. This constitutes an interesting holographic principle that allows us to determine moduli spaces of soliton solutions for WCh-brane dynamics. These solutions carry charges that are transferred to the partner particles and in most of the considered cases preserve some supersymmetry. In addition, we see that Hopf T-duality preserves these soliton moduli spaces.

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