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Calibrations, monopoles and fuzzy funnels

Neil R. Constable
(
- MIT, LNS
)
,
Neil D. Lambert
(
- Rutgers U., Piscataway
)

Jun, 2002

19 pages

Published in:

Phys.Rev.D 66 (2002) 065016

e-Print:

hep-th/0206243 [hep-th]

DOI:

10.1103/PhysRevD.66.065016

Report number:

MIT-CTP-3287,
RUNHETC-2002-22

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Abstract:

We present new non-Abelian solitonic configurations in the low energy effective theory describing a collection of N parallel D1--branes. These configurations preserve 1/4, 1/8, 1/16 and 1/32 of the spacetime supersymmetry. They are solutions to a set of generalised Nahm's equations which are related to self-duality equations in eight dimensions. Our solutions represent D1--branes which expand into fuzzy funnel configurations ending on collections of intersecting D3--branes. Supersymmetry dictates that such intersecting D3--branes must lie on a calibrated three-surface of spacetime and we argue that the generalised Nahm's equations encode the data for the construction of magnetic monopoles on the relevant three-surfaces.

11.10.Kk
membrane model: D-brane
supersymmetry
Nahm equation: solution
magnetic monopole
fuzzy
embedding: nonabelian
soliton: BPS
gauge field theory: U(N)
effective action

References(35)

Figures(0)

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