Boundary reflection matrices of massive $ϕ_{1,3}$-perturbed unitary minimal models
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914218180083712 |
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| author | Bajnok, Zoltan Nepomechie, Rafael I. Pearce, Paul A. |
| author_facet | Bajnok, Zoltan Nepomechie, Rafael I. Pearce, Paul A. |
| contents | We propose explicit expressions for the boundary reflection matrices of the ${\cal A}_m+(r,s)$ series of massive scattering theories, obtained by perturbing the ${\cal A}_m$ unitary minimal models with $(r,s)$ boundary conditions with both bulk and boundary $ϕ_{1,3}$ operators. We identify the vacua that live on the boundary with the allowed edges of the $(r,s)$ conformal boundary conditions of the $A_m$ Andrews-Baxter-Forrester model. The boundary reflection matrices are then ``direct sums'' of certain pairs of $A_{m-1}$ Behrend-Pearce solutions of the boundary Yang-Baxter equation and are consistent with the boundary bootstrap and the recently-introduced crossing, as well as the $Z_{2}$ (height-reversal), Kac table and non-invertible symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary reflection matrices of massive $ϕ_{1,3}$-perturbed unitary minimal models Bajnok, Zoltan Nepomechie, Rafael I. Pearce, Paul A. High Energy Physics - Theory Statistical Mechanics We propose explicit expressions for the boundary reflection matrices of the ${\cal A}_m+(r,s)$ series of massive scattering theories, obtained by perturbing the ${\cal A}_m$ unitary minimal models with $(r,s)$ boundary conditions with both bulk and boundary $ϕ_{1,3}$ operators. We identify the vacua that live on the boundary with the allowed edges of the $(r,s)$ conformal boundary conditions of the $A_m$ Andrews-Baxter-Forrester model. The boundary reflection matrices are then ``direct sums'' of certain pairs of $A_{m-1}$ Behrend-Pearce solutions of the boundary Yang-Baxter equation and are consistent with the boundary bootstrap and the recently-introduced crossing, as well as the $Z_{2}$ (height-reversal), Kac table and non-invertible symmetries. |
| title | Boundary reflection matrices of massive $ϕ_{1,3}$-perturbed unitary minimal models |
| topic | High Energy Physics - Theory Statistical Mechanics |
| url | https://arxiv.org/abs/2509.04286 |