Extended generalized geometry and a DBI-type effective action for branes ending on branes

Abstract

Starting from the usual bosonic membrane action, we develop the geometry suitable for the description of $p$-brane backgrounds. Using the tools of generalized geometry we derive the generalization of string open-closed relations. Nambu-Poisson structures are used to generalize the concept of semiclassical noncommutativity of $D$-branes governed by Poisson tensor. We naturally describe the correspondence of recently proposed commutative and noncommutative versions of an effective action for $p$-branes ending on a $p^{\prime }$-brane. We calculate the power series expansion of the action in background independent gauge. Leading terms in the double scaling limit are given by a generalization of a (semi-classical) matrix model.

Dedicated to the memory of Julius Wess and Bruno Zumino. Conclusions and Discussion section added, several typos corrected and references added

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Cited by in corpus (3)

• Cosmological Implications from O(D,D)
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Dimensional Reduction of the Generalized DBI