Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-05-13
Nucl.Phys.B481:313-331,1996
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 21 pages, no figures. References added
Scientific paper
10.1016/S0550-3213(96)90137-6
In addition to the double-dimensional reduction procedure that employs world-volume 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 transverse-space dimension via an integral that superposes solutions to the underlying Laplace equation. We show that vertical reduction is also closely related to the recently-introduced 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 Cremmer-Julia supergravity symmetry $E_{r(+r)}$. We also discuss a separate class of duality-invariant $p$-branes with $p=D-3$.
Lu Hai
Pope Christopher N.
Stelle K. S.
No associations
LandOfFree
Vertical versus Diagonal Dimensional Reduction for p-branes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Vertical versus Diagonal Dimensional Reduction for p-branes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertical versus Diagonal Dimensional Reduction for p-branes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-530681