caa a22 4500 445385987 CHVBK 20180317143032.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10714-010-1127-9 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1127-9 Open multiple M2-branes I: quantum geometry of the M5-brane in a C -field [Elektronische Daten] [Chong-Sun Chu, Douglas Smith] We show that the Nahm equation and the Basu-Harvey equation which provide the fuzzy funnel description can be understood as the boundary condition of the F1-strings or M2-branes probing the intersecting branes system. In particular the noncommutative geometry of a D3-brane in the presence of a constant B-field can be identified with a constant shift in the B-field modified Nahm equation. Since the C-field modified Basu-Harvey equation can be derived from the known behaviour of the system in the Bion description, in order for this modification to be consistent with the boundary condition of the M2-branes, we derive a new type of quantum geometry on the M5-brane worldvolume. Unlike the D-brane case, this is naturally expressed in terms of a relation between a 3-bracket of the M5-brane worldvolume coordinates and the C-field. Springer Science+Business Media, LLC, 2010 Quantum geometry nationallicence Multiple M2-branes nationallicence Lie 3-algebra nationallicence Chu Chong-Sun Department of Mathematics, Durham University, DH1 3LE, Durham, UK aut Smith Douglas Department of Mathematics, Durham University, DH1 3LE, Durham, UK aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/9(2011-09-01), 2467-2478 0001-7701 43:9<2467 2011 43 10714 https://doi.org/10.1007/s10714-010-1127-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1127-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chu Chong-Sun Department of Mathematics, Durham University, DH1 3LE, Durham, UK aut NATIONALLICENCE 700 1- Smith Douglas Department of Mathematics, Durham University, DH1 3LE, Durham, UK aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/9(2011-09-01), 2467-2478 0001-7701 43:9<2467 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer