Branes in N=2,D=4 sugra and the conformal field theory limit

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In this article we summarise the brane solutions (instantons, black holes and strings) in 4 dimensions when embedded in N=2 supergravity. Like in 10 dimensions these solutions are related by duality transformations (T-duality, c-map). For the case that the graviphoton has no magnetic charge, we discuss the conformal field theory description of the near-horizon geometry. The decoupling of the massless modes in the matrix limit of the M-theory compactified on a Calabi-Yau threefold is discussed.
Latex, 8 pages; added comments on corrections for the black hole entropy coming from the near-horizon CFT; (talk given at ``31st Internat. Symp. Ahrenshoop on the Theory of Elementary Particles'' Buckow, Sept. 2-6, 97)

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