Abstract
Starting from the Nambu-Goto bosonic membrane action, we develop a geometric description suitable for p-brane backgrounds. With tools of generalized geometry we derive the pertinent generalization of the string open-closed relations to the p-brane case. Nambu-Poisson structures are used in this context to generalize the concept of semi-classical noncommutativity of D-branes governed by a Poisson tensor. We find a natural description of the correspondence of recently proposed commutative and noncommutative versions of an effective action for p-branes ending on a p ′-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.
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Dedicated to the memory of Julius Wess and Bruno Zumino.
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Jurčo, B., Schupp, P. & Vysoký, J. Extended generalized geometry and a DBI-type effective action for branes ending on branes. J. High Energ. Phys. 2014, 170 (2014). https://doi.org/10.1007/JHEP08(2014)170
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DOI: https://doi.org/10.1007/JHEP08(2014)170