1997
DOI: 10.1016/s0370-2693(97)01008-3
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Duality and asymptotic geometries

Abstract: We consider a series of duality transformations that leads to a constant shift in the harmonic functions appearing in the description of a configuration of branes. This way, for several intersections of branes, we can relate the original brane configuration which is asymptotically flat to a geometry of the type adS k × E l × S m . The implications of our results for supersymmetry enhancement, M(atrix) theory at finite N, and for supergravity theories in diverse dimensions are discussed.

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Cited by 91 publications
(130 citation statements)
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“…This observation was made more precise in [13] (along with interesting generalizations to AdS n )with the introduction of a certain scaling limit (see also [19,27,25]). In this limit, on the supergravity side, only the near-horizon theory of strings on AdS 3 remains, while on the D-brane side one has only the conformal field theory limit of the D-brane gauge theory.…”
Section: Relation To Previous Derivationsmentioning
confidence: 90%
“…This observation was made more precise in [13] (along with interesting generalizations to AdS n )with the introduction of a certain scaling limit (see also [19,27,25]). In this limit, on the supergravity side, only the near-horizon theory of strings on AdS 3 remains, while on the D-brane side one has only the conformal field theory limit of the D-brane gauge theory.…”
Section: Relation To Previous Derivationsmentioning
confidence: 90%
“…Using the explicit form of G A in (35), one can see that the points τ = τ A are singular, unless some of them are zero, in which case the singularity can be avoided by imposing further conditions on the parameters. Other special points are τ → ±∞ (we assume the τ -coordinate to vary on the full real axis, and possibly to extend to the complex plane to ensure the change of signs of the exponential terms like e 2B , see for details Ref.…”
Section: Fixing the Constantsmentioning
confidence: 99%
“…In particular, its S 1 → R limit is obtained at the throat limit of (appropriate smearing of strings in) the following system [2,3,4]:…”
Section: Remarksmentioning
confidence: 99%
“…Such background is the S 1 → R limit of M in (1.1). Indeed, the study of Killing spinors on this space already indicates the appearance of large N = 4, 2-d supersymmetry [3].…”
Section: Introductionmentioning
confidence: 97%
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