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Vertical versus Diagonal Dimensional Reduction for pbranes  H. Lu
; C.N. Pope
; K.S. Stelle
;  Date: 
13 May 1996  Journal:  Nucl.Phys. B481 (1996) 313331  Subject:  hepth  Abstract:  In addition to the doubledimensional reduction procedure that employs worldvolume Killing symmetries of $p$brane supergravity solutions and acts diagonally on a plot of $p$ versus spacetime dimension $D$, there exists a second procedure of ``vertical’’ reduction. This reduces the transversespace dimension via an integral that superposes solutions to the underlying Laplace equation. We show that vertical reduction is also closely related to the recentlyintroduced notion of intersecting $p$branes. We illustrate this with examples, and also construct a new $D=11$ solution describing four intersecting membranes, which preserves $1/16$ of the supersymmetry. Given the two reduction schemes plus duality transformations at special points of the scalar modulus space, one may relate most of the $p$brane solutions of relevance to superstring theory. We argue that the maximum classifying duality symmetry for this purpose is the Weyl group of the corresponding CremmerJulia supergravity symmetry $E_{r(+r)}$. We also discuss a separate class of dualityinvariant $p$branes with $p=D3$.  Source:  arXiv, hepth/9605082  Services:  Forum  Review  PDF  Favorites 


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