Drinfeld Twist and Symmetric Bethe Vectors of Open XYZ Chain with Non-Diagonal Boundary Terms
With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. This allows us to obt...
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| Published in | Communications in theoretical physics Vol. 57; no. 1; pp. 19 - 28 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
2012
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-6102 |
| DOI | 10.1088/0253-6102/57/1/05 |
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| Abstract | With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model. |
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| AbstractList | With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model. With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model. |
| Author | 陈曦 冯俊 郝昆 吴可 杨文力 杨战营 张耀中 |
| AuthorAffiliation | Institute of Modern Physics, Northwest University, Xi'an 710069, China School of Mathematical Science, Capital Normal University, Beijing 100037, China Department of Physics, Northwest University, Xi'an 710069, China University of Queensland, School of Mathematics and Physics, Brisbane, QLD 4072, Australia |
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| Notes | With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form. This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model. 11-2592/O3 open XYZ chain, algebraic Bethe ansatz, Bethe states ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
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| References | 46 B.Y. Hou (59) 1995; 23 49 V.G. Drinfeld (4) 1983; 28 N. Kitanine (14) 2007; 10 G. Filali (51) 2011; 7 T.D. Albert (7) 2001; 34 W.L. Yang (21) 2004; 09 52 53 T. Inami (58) 1994; 27 11 A. Dikou (35) 2006; 09 55 12 L. Frappat (39) 2007; 09 13 W.L. Yang (22) 2004; 698 16 18 19 W.L. Yang (45) 2007; 04 1 3 6 A. Nichols (24) 2005; 05 W. Galleas (41) 2008; 790 9 R. Murgan (36) 2006; 08 R.I. Nepomechie (47) 2003; 36 60 61 62 63 S.Y. Zhao (10) 2005; 2005 20 65 25 26 28 29 Z. Bajnok (33) 2006; 06 W.L. Yang (8) 2004; 12 R.I. Nepomechie (48) 2004; 37 R.J. Baxter (54) 1982 J. Feng (56) 2011; 56 J. de Gier (27) 2006; 12 N. Crampe (44) 2010; 11 A. Doikou (34) 2006; 2006 R. Murgan (42) 2009; 04 G. Filali (50) 2010; 06 32 T.D. Albert (5) 2000; 33 E.K. Sklyanin (15) 1988; 21 37 38 R.I. Nepomechie (17) 2004; 37 W.L. Yang (30) 2004; 12 P. Baseilhac (40) 2007; 09 G. Filali (64) J.M. Maillet (2) 2000; 201 J. de Gier (23) 2004; 03 W.L. Yang (31) 2005; 01 E.T. Whittaker (57) 2002 43 |
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| Snippet | With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the... With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid (SOS) model, we find that in the F-basis provided by the twist... |
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| SubjectTerms | Boundaries Chains Free form Mathematical analysis Operators Polarization SOS Theoretical physics Vectors (mathematics) 全对称 因式分解 对角线 贝特 载体 边界 链 |
| Title | Drinfeld Twist and Symmetric Bethe Vectors of Open XYZ Chain with Non-Diagonal Boundary Terms |
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