Fusion rules and boundary conditions in the c=0 triplet model
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2009
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| _version_ | 1866916506287210496 |
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| author | Gaberdiel, Matthias R. Runkel, Ingo Wood, Simon |
| author_facet | Gaberdiel, Matthias R. Runkel, Ingo Wood, Simon |
| contents | The logarithmic triplet model W_2,3 at c=0 is studied. In particular, we determine the fusion rules of the irreducible representations from first principles, and show that there exists a finite set of representations, including all irreducible representations, that closes under fusion. With the help of these results we then investigate the possible boundary conditions of the W_2,3 theory. Unlike the familiar Cardy case where there is a consistent boundary condition for every representation of the chiral algebra, we find that for W_2,3 only a subset of representations gives rise to consistent boundary conditions. These then have boundary spectra with non-degenerate two-point correlators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0905_0916 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Fusion rules and boundary conditions in the c=0 triplet model Gaberdiel, Matthias R. Runkel, Ingo Wood, Simon High Energy Physics - Theory Quantum Algebra The logarithmic triplet model W_2,3 at c=0 is studied. In particular, we determine the fusion rules of the irreducible representations from first principles, and show that there exists a finite set of representations, including all irreducible representations, that closes under fusion. With the help of these results we then investigate the possible boundary conditions of the W_2,3 theory. Unlike the familiar Cardy case where there is a consistent boundary condition for every representation of the chiral algebra, we find that for W_2,3 only a subset of representations gives rise to consistent boundary conditions. These then have boundary spectra with non-degenerate two-point correlators. |
| title | Fusion rules and boundary conditions in the c=0 triplet model |
| topic | High Energy Physics - Theory Quantum Algebra |
| url | https://arxiv.org/abs/0905.0916 |