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Supergravity and The Large N Limit of Theories With Sixteen Supercharges

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arxiv hep-th/9802042 v3 pith:V3KNFWRU submitted 1998-02-07 hep-th

Supergravity and The Large N Limit of Theories With Sixteen Supercharges

classification hep-th
keywords supergravitylimittheoriesarguecertainlargeregionssixteen
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider field theories with sixteen supersymmetries, which includes U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions. We study this by considering a system of D-branes in string theory and then taking a limit where the brane worldvolume theory decouples from gravity. At the same time we study the corresponding D-brane supergravity solution and argue that we can trust it in certain regions where the curvature (and the effective string coupling, where appropriate) are small. The supergravity solutions typically have several weakly coupled regions and interpolate between different limits of string-M-theory.

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