G+++ and Brane Solutions
We demonstrate that the very extended G+++ group element of the form $g_A=\exp(-{\frac{1}{(β,β)}\ln N}β\cdot H)\exp((1-N)E_β)$ describes the usual BPS, electric, single brane solutions found in G+++ theories.
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arXiv subjects
Peter C. West
Publications and source records attributed to Peter C. West.
Supersymmetric Fivebrane Solitons
We study the conditions for the fivebrane worldvolume theory in D=11 to admit supersymmetric solitons with non-vanishing self-dual three-form. We construct some new soliton solutions consisting of ``superpositions'' of calibrated surfaces, self-dual strings and instantons.
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Branes and Calibrated Geometries
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 geometry.
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