Local Langlands Duality and a Duality of Conformal Field Theories
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arXiv
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866916806978961408 |
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| author | Luu, Martin |
| author_facet | Luu, Martin |
| contents | We show that the numerical local Langlands duality for GL_n and the T - duality of two-dimensional quantum gravity arise from one and the same symmetry principle. The unifying theme is that the local Fourier transform in both its l-adic and complex incarnation gives rise to symmetries of arithmetic and geometric local Langlands parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1506_00663 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Local Langlands Duality and a Duality of Conformal Field Theories Luu, Martin High Energy Physics - Theory Mathematical Physics Number Theory Representation Theory We show that the numerical local Langlands duality for GL_n and the T - duality of two-dimensional quantum gravity arise from one and the same symmetry principle. The unifying theme is that the local Fourier transform in both its l-adic and complex incarnation gives rise to symmetries of arithmetic and geometric local Langlands parameters. |
| title | Local Langlands Duality and a Duality of Conformal Field Theories |
| topic | High Energy Physics - Theory Mathematical Physics Number Theory Representation Theory |
| url | https://arxiv.org/abs/1506.00663 |