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On the Non-renormalization of the AdS Radius
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On the Non-renormalization of the AdS Radius
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We show that the relation between the 't Hooft coupling and the radius of AdS is not renormalized at one-loop in the sigma model perturbation theory. We prove this by computing the quantum effective action for the superstring on AdS_5 x S^5 and showing that it does not receive any finite alpha' corrections. We also show that the central charge of the interacting worldsheet conformal field theory vanishes at one-loop.
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Cited by 1 Pith paper
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D-branes and nonlinear interactions in the $AdS$ pure spinor string
Zero-field half-BPS D-branes in the AdS5×S5 pure spinor string are organized by involutions exchanging the odd Z4 grades, and boundary BRST invariance gives DBI-like consistency equations.
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