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Abstract: We consider an instance of the AdS-CFT duality where the bulk theory containsan open string tachyon, and study the instability from the viewpoint of theboundary field theory. We focus on the specific example of the AdS 5 X S^5background with two probe D7 branes intersecting at general angles. For genericangles supersymmetry is completely broken and there is an open string tachyonbetween the branes. The field theory action for this system is obtained bycoupling to N =4 super Yang-Mills two N =2 hyper multiplets in the fundamentalrepresentation of the SUN gauge group, but with different choices ofembedding of the two N=2 subalgebras into N=4. On the field theory side we finda one-loop Coleman-Weinberg instability in the effective potential for thefundamental scalars. We identify a mesonic operator as the dual of the openstring tachyon. By AdS-CFT, we predict the tachyon mass for small -t Hooftcoupling large bulk curvature and confirm that it violates the AdS stabilitybound.



Author: Elli Pomoni, Leonardo Rastelli

Source: https://arxiv.org/







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