The $D^{(2)}_{3}$ spin chain and its finite-size spectrum
JHEP 2023(11) 095 Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic $D^{(2)}_3$ spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regime $\gamma\in (0,\frac{\p...
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| creator | Frahm, Holger Gehrmann, Sascha Nepomechie, Rafael I Retore, Ana L |
| description | JHEP 2023(11) 095 Using the analytic Bethe ansatz, we initiate a study of the scaling limit of
the quasi-periodic $D^{(2)}_3$ spin chain. Supported by a detailed symmetry
analysis, we determine the effective scaling dimensions of a large class of
states in the parameter regime $\gamma\in (0,\frac{\pi}{4})$. Besides two
compact degrees of freedom, we identify two independent continuous components
in the finite-size spectrum. The influence of large twist angles on the latter
reveals also the presence of discrete states. This allows for a conjecture on
the central charge of the conformal field theory describing the scaling limit
of the lattice model. |
| doi_str_mv | 10.48550/arxiv.2307.11511 |
| format | Article |
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the quasi-periodic $D^{(2)}_3$ spin chain. Supported by a detailed symmetry
analysis, we determine the effective scaling dimensions of a large class of
states in the parameter regime $\gamma\in (0,\frac{\pi}{4})$. Besides two
compact degrees of freedom, we identify two independent continuous components
in the finite-size spectrum. The influence of large twist angles on the latter
reveals also the presence of discrete states. This allows for a conjecture on
the central charge of the conformal field theory describing the scaling limit
of the lattice model.</description><identifier>DOI: 10.48550/arxiv.2307.11511</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - High Energy Physics - Theory ; Physics - Mathematical Physics ; Physics - Statistical Mechanics</subject><creationdate>2023-07</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2307.11511$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2307.11511$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1007/JHEP11(2023)095$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Frahm, Holger</creatorcontrib><creatorcontrib>Gehrmann, Sascha</creatorcontrib><creatorcontrib>Nepomechie, Rafael I</creatorcontrib><creatorcontrib>Retore, Ana L</creatorcontrib><title>The $D^{(2)}_{3}$ spin chain and its finite-size spectrum</title><description>JHEP 2023(11) 095 Using the analytic Bethe ansatz, we initiate a study of the scaling limit of
the quasi-periodic $D^{(2)}_3$ spin chain. Supported by a detailed symmetry
analysis, we determine the effective scaling dimensions of a large class of
states in the parameter regime $\gamma\in (0,\frac{\pi}{4})$. Besides two
compact degrees of freedom, we identify two independent continuous components
in the finite-size spectrum. The influence of large twist angles on the latter
reveals also the presence of discrete states. This allows for a conjecture on
the central charge of the conformal field theory describing the scaling limit
of the lattice model.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj0FLw0AUhPfiQao_wJN76MEeEt_bl-0mx9JqFQpecja8bN7SBRtKEsVa-t9Nq5cZhoFhPqXuENIstxYeufuOX6khcCmiRbxWRbkVPV29Hx_M7FQd6TTV_T622m95VG4bHYdeh9jGQZI-_shYix-6z92Nugr80cvtv09U-fxULl-Szdv6dbnYJDx3mOQFZ4QBxVk0zDmbJgCMcQ4kBrKaQk3kQECKxvucPTjLDdQZgvcgNFH3f7OX79W-izvuDtWZobow0C_U0z_i</recordid><startdate>20230721</startdate><enddate>20230721</enddate><creator>Frahm, Holger</creator><creator>Gehrmann, Sascha</creator><creator>Nepomechie, Rafael I</creator><creator>Retore, Ana L</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230721</creationdate><title>The $D^{(2)}_{3}$ spin chain and its finite-size spectrum</title><author>Frahm, Holger ; Gehrmann, Sascha ; Nepomechie, Rafael I ; Retore, Ana L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-89a431f1e7512aa8a2df001e7603e204b3fb3370e0e9dcc8ac075ad0b410cc0e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Frahm, Holger</creatorcontrib><creatorcontrib>Gehrmann, Sascha</creatorcontrib><creatorcontrib>Nepomechie, Rafael I</creatorcontrib><creatorcontrib>Retore, Ana L</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Frahm, Holger</au><au>Gehrmann, Sascha</au><au>Nepomechie, Rafael I</au><au>Retore, Ana L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The $D^{(2)}_{3}$ spin chain and its finite-size spectrum</atitle><date>2023-07-21</date><risdate>2023</risdate><abstract>JHEP 2023(11) 095 Using the analytic Bethe ansatz, we initiate a study of the scaling limit of
the quasi-periodic $D^{(2)}_3$ spin chain. Supported by a detailed symmetry
analysis, we determine the effective scaling dimensions of a large class of
states in the parameter regime $\gamma\in (0,\frac{\pi}{4})$. Besides two
compact degrees of freedom, we identify two independent continuous components
in the finite-size spectrum. The influence of large twist angles on the latter
reveals also the presence of discrete states. This allows for a conjecture on
the central charge of the conformal field theory describing the scaling limit
of the lattice model.</abstract><doi>10.48550/arxiv.2307.11511</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - High Energy Physics - Theory Physics - Mathematical Physics Physics - Statistical Mechanics |
| title | The $D^{(2)}_{3}$ spin chain and its finite-size spectrum |
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