Remarks on Dirichlet branes at angles

A 'reduced' action formulation for a general class of the supergravity solutions, corresponding to the 'marginally' bound 'distributed' systems of various types of branes at arbitrary angles, is developed. It turns out that all the information regarding the classical features of such solutions is encoded in a first order Lagrangian (the 'reduced' Lagrangian) corresponding to the desired geometry of branes. The marginal solution for a system of N such distributions (for various distribution functions) span an N dimensional submanifold of the fields' configuration (target) space, parametrised by a set of N independent harmonic functions on the transverse space. This submanifold, which we call it as the 'H-surface', is a null surface with respect to a metric on the configuration space, which is defined by the reduced Lagrangian. The equations of motion then transform to a set of equations describing the embedding of a null geodesic surface in this space, which is identified as the Hsurface. Using these facts, we present a very simple derivation of the conventional orthogonal solutions together with their intersection rules. Then a new solution for a (distributed) pair of p-branes at SU(2) angles in D dimensions is derived.1

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“…in [29] and later derived in [31]. This is specially an interesting example for comparison with the results of this paper.…”

Section: Some Special Casesmentioning

confidence: 92%

Distributed systems of intersecting branes at arbitrary angles

Abbaspur

Arfaei

1999

Nuclear Physics B

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“…In the limit µ = 0, the above solution reduces to the flat space D3-brane solution rotated by SU(2) angle, which can be obtained by applying a T -duality transformation, along one of the transverse coordinate of the rotated D2-membrane solution as given in [29]. One can also check that in the limit α = 0, the above solution exactly matches with the D3-brane solution given in [23].…”

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confidence: 62%

D-branes at an angle in app-wave background

Nayak

2003

Phys. Rev. D

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We show the existence of classical solutions of a system of D3-branes oriented at an arbitrary angle with respect to each other, in a six dimensional pp-wave background obtained from AdS 3 × S 3 × R 4 , with NS − NS and R − R 3-form field strength.These D-brane bound states are shown to preserve 1/16 of the supersymmetries. We also present more D-brane bound state solutions by applying T-duality symmetries.Finally, the probe analysis is discussed along with a brief outline of the open string construction.Recently, the study of string theory in PP-wave background has been a subject of intense discussion. It is known that "Penrose" limit plays an important role, in obtaining such solutions, as any Einstein gravity admits a plane wave background through these limits [1]. The supergravity realization of string theory in pp-wave background through these limits are studied as well [2][3][4][5][6][7].String theory in this background is easy to handle due to the presence of a natural light cone gauge and are exactly solvable in Green-Schwarz formalism [8][9][10]. The exact solvability of string theory in these backgrounds, provide a powerful tool to investigate the AdS/CFT correspondence in a

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“…This was used to construct supergravity solutions for non-orthogonal intersections from solutions for orthogonal intersections [174,175]. Such solutions were also found in [176,177] and expressed as a generalisation of the harmonic functions rules for orthogonal intersections [178,179]. There are also solutions describing bound states of branes within the worldvolume of other branes [180,181,182,183,184,170,185] such as (p, q)-5-branes which are bound states of D5-and NS5-branes or Dp-branes within a D(p + 2)-brane preserving one half supersymmetry.…”

Section: Smeared Intersections and Black Holesmentioning

confidence: 99%

Intersecting brane solutions in string and M-theory

Smith¹

2003

Class. Quantum Grav.

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We review various aspects of configurations of intersecting branes, including the conditions for preservation of supersymmetry. In particular, we discuss the projection conditions on the Killing spinors for given brane configurations and the relation to calibrations. This highlights the close connection between intersecting branes and branes wrapping supersymmetric cycles as well as special holonomy manifolds. We also explain how these conditions can be used to find supergravity solutions without directly solving the Einstein equations. The description of intersecting branes is considered both in terms of the brane worldvolume theories and as supergravity solutions. There are well-known simple procedures (harmonic function rules) for writing down the supergravity solutions for supersymmetric configurations of orthogonally intersecting branes. However, such solutions involve smeared or delocalised branes. We describe several methods of constructing solutions with less smearing, including some fully localised solutions. Some applications of these supergravity solutions are also considered -in particular the study of black holes and gauge theories.

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Remarks on Dirichlet branes at angles

Cited by 14 publications

References 23 publications

Distributed systems of intersecting branes at arbitrary angles

Distributed systems of intersecting branes at arbitrary angles

D-branes at an angle in app-wave background

Intersecting brane solutions in string and M-theory

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