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Paper   IPM / Physic / 6639
School of Physics
  Title:   Distributed Systems of Intersecting Branes at Arbitrary Angles
1.  R. Abbaspur
2.  H. Arfaei
  Status:   Published
  Journal: Nucl. Phys. B
  No.:  40
  Vol.:  541
  Year:  1999
  Pages:   386-440
  Supported by:  IPM
A kind of `reduced' Lagrangian (RL) formulation of the problem of multi-dimensional supergravity solutions, for a class of them describing distributed' marginal systems of multi-intersecting branes at arbitrary angles, is introduced. It turns out that all the classical information regarding every such configuration is derivable from a corresponding first order quadratic RL, which `on the solution' identically vanishes. The solution for every such configuration with N arbitrary distributions, is found that, lies on an N dimensional subspace (the H-surface) of the target (or configuration) space, parametrised by N independent harmonic functions of the overall transverse space. It is observed that every such RL introduces a metric on the target space thereby identifying the H-surface as a geodesic and null surface. The geodesic and the nullity equations of this surface then follow directly from the field equations for that RL. For orthogonal configurations, this approach provides a simple derivation of the well known `superposition rule' of the orthogonal solutions, together with the corresponding `intersection rules'. For branes at angles, it leads to a new solution describing a coniguration of (p,p)-branes at SU(2) angles.

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