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Conformal Symmetry on World Volumes of Branes
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We show how the anti-de Sitter isometries of a brane solution of supergravity theory produce superconformal invariance of their world-volume action. In this way linear as well as non-linear superconformal actions are obtained in various dimensions. Two particular examples are a conformal action with the antisymmetric tensor in 6 dimensions in Pasti-Sorokin-Tonin formulation, and superconformal mechanics.
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On conformal symmetry in large-$N$ quiver mechanics
At large rank N, the fixed-point formula for the quiver superconformal index equals the Ω_uneq contribution to the microscopic scaling BPS index of Beaujard–Mondal–Pioline, a piece previously invisible on the Coulomb branch.
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