caa a22 4500 46794928X CHVBK 20180405193740.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/PL00022145 doi (NATIONALLICENCE)springer-10.1007/PL00022145 (NATIONALLICENCE)springer-10.1007/s11232-005-0060-7 O (1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices [Elektronische Daten] [A. Razumov, Yu. Stroganov] This work is a continuation of our recent paper where we discussed numerical evidence that the numbers of the states of the fully packed loop model with fixed pairing patterns coincide with the components of the ground state vector of the O(1) loop model with periodic boundary conditions and an even number of sites. We give two new conjectures related to different boundary conditions: we suggest and numerically verify that the numbers of the half-turn symmetric states of the fully packed loop model with fixed pairing patterns coincide with the components of the ground state vector of the O(1) loop model with periodic boundary conditions and an odd number of sites and that the corresponding numbers of the vertically symmetric states describe the case of open boundary conditions and an even number of sites. Springer Science+Business Media, Inc., 2005 loop model nationallicence ground state nationallicence fully packed loop model nationallicence alternating-sign matrices nationallicence Razumov A. Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut Stroganov Yu Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 237-243 0040-5779 142:2<237 2005 142 11232 https://doi.org/10.1007/PL00022145 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00022145 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Razumov A. Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut NATIONALLICENCE 700 1- Stroganov Yu Institute for High Energy Physics, Protvino, Moscow Oblast, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 142/2(2005-02-01), 237-243 0040-5779 142:2<237 2005 142 11232 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-005-0060-7 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer