caa a22 4500 469035137 CHVBK 20180323132754.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF01083530 doi (NATIONALLICENCE)springer-10.1007/BF01083530 Multicut solutions of the matrix Kontsevich-Penner model [Elektronische Daten] [K. Zarembo, L. Chekov] Multicut solutions of the Hermitian one-matrix model parametrized by the recently introduced matrix model [1] with external field and Lagrangian having the form tr(ΛXΛX)-αN(log(1+X)−X) are considered. A brief review of the model, which describes the discretized moduli space of Riemann surfaces, is given. The general structure of multicut solutions is investigated, and it is shown that there arises an additional symmetry and thats parameters remain free for the (s+1)-cut solution. A detailed analysis of the one-cut solution is made. Among other results, all solutions of Kazakov type are reproduced. We also discuss the general form for the two-cut solution which arises as generalization of the string equation to the case of two cuts. The entire treatment is given in the approximation of planar diagrams. Plenum Publishing Corporation, 1992 Zarembo K. aut Chekov L. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/2(1992-11-01), 1328-1336 0040-5779 93:2<1328 1992 93 11232 https://doi.org/10.1007/BF01083530 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01083530 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zarembo K. aut NATIONALLICENCE 700 1- Chekov L. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/2(1992-11-01), 1328-1336 0040-5779 93:2<1328 1992 93 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer