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Introduction to Matrix Models and Non-Critical String Theory Akikazu ...

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33With this ansatz, one hasR(z) = − z + 3gz22+ (1 + 3g(a + b) + 3gz)√ (z − 2a)(z − 2b)2where3g(a−b) 2 +2(a+b)(1+3g(a+b)) = 0, (b−a) 2 (1+6g(a+b)) = 4so thatR(z) = 1 z + O(z−2 )This determines the eigenvalue distribution ρ(z) <strong>and</strong> itsolves the equation of motion.

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