Branes and calibrated geometries

Jerome P. Gauntlett; Neil D. Lambert; Peter C. West

doi:10.1007/s002200050596

Branes and calibrated geometries

Jerome P. Gauntlett^*, Neil D. Lambert, Peter C. West

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

63 Citations (Scopus)

Abstract

The fivebrane worldvolume theory in eleven dimensions is known to contain BPS threebrane solitons which can also be interpreted as a fivebrane whose worldvolume is wrapped around a Riemann surface. By considering configurations of intersecting fivebranes and hence intersecting threebrane solitons, we determine the Bogomol'nyi equations for more general BPS configurations. We obtain differential equations, generalising Cauchy-Riemann equations, which imply that the worldvolume of the fivebrane is wrapped around a calibrated submanifold.

Original language	English
Pages (from-to)	571-592
Number of pages	22
Journal	Communications in Mathematical Physics
Volume	202
Issue number	3
DOIs	https://doi.org/10.1007/s002200050596
Publication status	Published - 1 May 1999

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abstract = "The fivebrane worldvolume theory in eleven dimensions is known to contain BPS threebrane solitons which can also be interpreted as a fivebrane whose worldvolume is wrapped around a Riemann surface. By considering configurations of intersecting fivebranes and hence intersecting threebrane solitons, we determine the Bogomol'nyi equations for more general BPS configurations. We obtain differential equations, generalising Cauchy-Riemann equations, which imply that the worldvolume of the fivebrane is wrapped around a calibrated submanifold.",

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AU - West, Peter C.

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AB - The fivebrane worldvolume theory in eleven dimensions is known to contain BPS threebrane solitons which can also be interpreted as a fivebrane whose worldvolume is wrapped around a Riemann surface. By considering configurations of intersecting fivebranes and hence intersecting threebrane solitons, we determine the Bogomol'nyi equations for more general BPS configurations. We obtain differential equations, generalising Cauchy-Riemann equations, which imply that the worldvolume of the fivebrane is wrapped around a calibrated submanifold.

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Branes and calibrated geometries

Abstract

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