Introduction to Matrix Models and Non-Critical String Theory Akikazu ...
Introduction to Matrix Models and Non-Critical String Theory Akikazu ...
Introduction to Matrix Models and Non-Critical String Theory Akikazu ...
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5<strong>Non</strong>-critical string theoryBosonic string in d dimensions∫ Dg DXZ =1 ∫Vol(diff) e− 4πα ′ d 2 ξ √ gg µν ∂ µ X i ∂ ν X i , i = 0...d − 1Measure:∫∫∫Dge −1 2 |δg2| = 1, |δg 2 | = d 2 ξ √ g(g ac g bd − 2g ab g cd )δg ab δg cd∫DXe −|δX2| = 1, |δX 2 | = d 2 ξ √ gδX i δX iAction <strong>and</strong> measure are diffeomorphism invariant
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