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4d Conformal Field Theories and Strings on Orbifolds

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arxiv hep-th/9802183 v3 pith:WMHT24B3 submitted 1998-02-25 hep-th

4d Conformal Field Theories and Strings on Orbifolds

classification hep-th
keywords stringconformaltheoriestheorycasefieldfixedlines
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose correspondences between 4d quantum field theories with N=2,1,0 (super)conformal invariance and Type IIB string theory on various orbifolds. We argue using the spacetime string theory, and check using the beta functions (exactly for N=2,1 and so far at 1-loop for the gauge couplings in the N=0 case), that these theories have conformal fixed lines. The latter case potentially gives well-defined non-supersymmetric vacua of string theory, with a mechanism for making the curvature and cosmological constant small at nontrivial string coupling. We suggest a correspondence between nonsupersymmetric conformal fixed lines and nonsupersymmetric string vacua with vanishing vacuum energy.

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