Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
| dc.creator | Chu, Chong-Sun | |
| dc.creator | Smith, Douglas J | |
| dc.date | 2009-01-13 | |
| dc.date | 2009-04-22 | |
| dc.date.accessioned | 2026-07-07T13:10:24Z | |
| dc.date.available | 2026-07-07T13:10:24Z | |
| dc.description | We show that the Nahm equation which describes a fuzzy D3-brane in the presence of a B-field can be derived as a boundary condition of the F1-strings ending on the D3-brane, and that the modifications of the original Nahm equation by a B-field can be understood in terms of the noncommutative geometry of the D3-brane. Naturally this is consistent with the alternative derivation by quantising the open strings in the B-field background. We then consider a configuration of multiple M2-branes ending on an M5-brane with a constant 3-form C-field. By analogy with the case of strings ending on a D3-brane with a constant B-field, one can expect that this system can be described in terms of the boundary of the M2-branes moving within a certain kind of quantum geometry on the M5-brane worldvolume. By repeating our analysis, we show that the analogue of the B-field modified Nahm equation, the C-field modified Basu-Harvey equation can also be understood as a boundary condition of the M2-branes. We then compare this to the M5-brane BIon description and show that the two descriptions match provided we postulate 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. | |
| dc.description | LaTeX, 38 pages, 2 figures. v2: additional discussion of D1 boundary couping, typos corrected and references added. v3: additional discussion on p.10, typos corrected, references added. version published in JHEP | |
| dc.identifier | https://arxiv.org/abs/0901.1847 | |
| dc.identifier | http://arxiv.org/abs/0901.1847 | |
| dc.identifier | JHEP 0904:097,2009 | |
| dc.identifier | doi:10.1088/1126-6708/2009/04/097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229005 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes | |
| dc.type | text |