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4D conformal field theories and strings on orbifolds. (English) Zbl 0947.81096
Summary: We propose and test correspondences between 4D quantum field theories (QFTs) with $$N=2,1,0$$ (super)conformal invariance and type IIB string theory on various orbifolds of $$\text{AdS}_5\times S^5$$. This allows us to translate the problem of finding stable nontrivial nonsupersymmetric string backgrounds into the problem of realizing nontrivial renormalization group (RG) fixed point QFTs on branes. RG fixed lines in this context correspond to string theories in which no vacuum energy is generated quantum mechanically.

##### MSC:
 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 81T17 Renormalization group methods applied to problems in quantum field theory
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