Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions
We study Slavnov's inner products for open Temperley-Lieb chains and their relations with the KP hierarchy. We show that when s=1/2 the quantum group invariant XXZ spin chain has Slavnov products given by the quotient of tau functions. The Schur polynomials expansion and a matrix construction f...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321321002637 |
| _version_ | 1818403208985313280 |
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| author | Thiago Araujo |
| author_facet | Thiago Araujo |
| author_sort | Thiago Araujo |
| collection | DOAJ |
| description | We study Slavnov's inner products for open Temperley-Lieb chains and their relations with the KP hierarchy. We show that when s=1/2 the quantum group invariant XXZ spin chain has Slavnov products given by the quotient of tau functions. The Schur polynomials expansion and a matrix construction for the Baker-Akhiezer functions are also briefly considered. |
| first_indexed | 2024-12-14T08:20:37Z |
| format | Article |
| id | doaj.art-6637d7c547d54ad1af1db163ddff1346 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-14T08:20:37Z |
| publishDate | 2021-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-6637d7c547d54ad1af1db163ddff13462022-12-21T23:09:49ZengElsevierNuclear Physics B0550-32132021-11-01972115566Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functionsThiago Araujo0Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012, Bern, SwitzerlandWe study Slavnov's inner products for open Temperley-Lieb chains and their relations with the KP hierarchy. We show that when s=1/2 the quantum group invariant XXZ spin chain has Slavnov products given by the quotient of tau functions. The Schur polynomials expansion and a matrix construction for the Baker-Akhiezer functions are also briefly considered.http://www.sciencedirect.com/science/article/pii/S0550321321002637 |
| spellingShingle | Thiago Araujo Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions Nuclear Physics B |
| title | Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions |
| title_full | Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions |
| title_fullStr | Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions |
| title_full_unstemmed | Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions |
| title_short | Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions |
| title_sort | comments on slavnov products temperley lieb open spin chains and kp tau functions |
| url | http://www.sciencedirect.com/science/article/pii/S0550321321002637 |
| work_keys_str_mv | AT thiagoaraujo commentsonslavnovproductstemperleyliebopenspinchainsandkptaufunctions |