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20 January 2025
 
  » arxiv » hep-th/9206060

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Unitary Matrix Models and 2D Quantum Gravity (Virasoro constraints modified)
S.Dalley ; C.V.Johnson ; T.R.Morris ; A.Watterstam ;
Date 11 Jul 1992
Journal Mod.Phys.Lett. A7 (1992) 2753-2762
AbstractThe KdV and modified KdV integrable hierarchies are shown to be different descriptions of the same 2D gravitational system -- open-closed string theory. Non-perturbative solutions of the multi-critical unitary matrix models map to non-singular solutions of the `renormalisation group’ equation for the string susceptibility, $[ ilde{P},Q]=Q$. We also demonstrate that the large N solutions of unitary matrix integrals in external fields, studied by Gross and Newman, equal the non-singular pure closed-string solutions of $[ ilde{P},Q]=Q$.
Source arXiv, hep-th/9206060
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