The continuum limit of aN−1(2) spin chains
Building on our previous work for a2(2) and a3(2) we explore systematically the continuum limit of gapless aN−1(2) vertex models and spin chains. We find the existence of three possible regimes. Regimes I and II for a2n−1(2) are related with a2n−1(2) Toda, and described by n compact bosons. Regime I...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-10-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316302097 |
| _version_ | 1818853610904092672 |
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| author | Eric Vernier Jesper Lykke Jacobsen Hubert Saleur |
| author_facet | Eric Vernier Jesper Lykke Jacobsen Hubert Saleur |
| author_sort | Eric Vernier |
| collection | DOAJ |
| description | Building on our previous work for a2(2) and a3(2) we explore systematically the continuum limit of gapless aN−1(2) vertex models and spin chains. We find the existence of three possible regimes. Regimes I and II for a2n−1(2) are related with a2n−1(2) Toda, and described by n compact bosons. Regime I for a2n(2) is related with a2n(2) Toda and involves n compact bosons, while regime II is related instead with B(1)(0,n) super Toda, and involves in addition a single Majorana fermion. The most interesting is regime III, where non-compact degrees of freedom appear, generalising the emergence of the Euclidean black hole CFT in the a2(2) case. For a2n(2) we find a continuum limit made of n compact and n non-compact bosons, while for a2n−1(2) we find n compact and n−1 non-compact bosons. We also find deep relations between aN−1(2) in regime III and the gauged WZW models SO(N)/SO(N−1). |
| first_indexed | 2024-12-19T07:39:34Z |
| format | Article |
| id | doaj.art-95ca367e34744a2eb5fa795b8467c52c |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-19T07:39:34Z |
| publishDate | 2016-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-95ca367e34744a2eb5fa795b8467c52c2022-12-21T20:30:29ZengElsevierNuclear Physics B0550-32131873-15622016-10-01911C529310.1016/j.nuclphysb.2016.07.026The continuum limit of aN−1(2) spin chainsEric Vernier0Jesper Lykke Jacobsen1Hubert Saleur2SISSA and INFN, Sezione di Trieste, via Bonomea 265, I-34136, Trieste, ItalyLPTENS, École Normale Supérieure – PSL Research University, 24 rue Lhomond, F-75231 Paris Cedex 05, FranceInstitut de Physique Théorique, CEA Saclay, F-91191 Gif-sur-Yvette, FranceBuilding on our previous work for a2(2) and a3(2) we explore systematically the continuum limit of gapless aN−1(2) vertex models and spin chains. We find the existence of three possible regimes. Regimes I and II for a2n−1(2) are related with a2n−1(2) Toda, and described by n compact bosons. Regime I for a2n(2) is related with a2n(2) Toda and involves n compact bosons, while regime II is related instead with B(1)(0,n) super Toda, and involves in addition a single Majorana fermion. The most interesting is regime III, where non-compact degrees of freedom appear, generalising the emergence of the Euclidean black hole CFT in the a2(2) case. For a2n(2) we find a continuum limit made of n compact and n non-compact bosons, while for a2n−1(2) we find n compact and n−1 non-compact bosons. We also find deep relations between aN−1(2) in regime III and the gauged WZW models SO(N)/SO(N−1).http://www.sciencedirect.com/science/article/pii/S0550321316302097 |
| spellingShingle | Eric Vernier Jesper Lykke Jacobsen Hubert Saleur The continuum limit of aN−1(2) spin chains Nuclear Physics B |
| title | The continuum limit of aN−1(2) spin chains |
| title_full | The continuum limit of aN−1(2) spin chains |
| title_fullStr | The continuum limit of aN−1(2) spin chains |
| title_full_unstemmed | The continuum limit of aN−1(2) spin chains |
| title_short | The continuum limit of aN−1(2) spin chains |
| title_sort | continuum limit of an 1 2 spin chains |
| url | http://www.sciencedirect.com/science/article/pii/S0550321316302097 |
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