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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.23902 |
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| _version_ | 1866909814425124864 |
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| author | Zhao, Boan Betzios, Panos Roehl, Paul Luis |
| author_facet | Zhao, Boan Betzios, Panos Roehl, Paul Luis |
| contents | We show that interval partition functions (transition amplitudes) of three-dimensional $N = 2$ theories admit factorizations into sums of products of hemisphere partition functions with additional normalization factors. We prove the factorization explicitly for supersymmetric quantum electrodynamics and Chern-Simons-Yang-Mills theories. In the former case, we interpret the factorization geometrically in terms of the factorization of equivariant K-theory classes. In the latter case, we prove that hemisphere partition functions are affine characters and determine the normalization factors explicitly in special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Factorizations of 3d Interval Partition Functions Zhao, Boan Betzios, Panos Roehl, Paul Luis High Energy Physics - Theory Mathematical Physics We show that interval partition functions (transition amplitudes) of three-dimensional $N = 2$ theories admit factorizations into sums of products of hemisphere partition functions with additional normalization factors. We prove the factorization explicitly for supersymmetric quantum electrodynamics and Chern-Simons-Yang-Mills theories. In the former case, we interpret the factorization geometrically in terms of the factorization of equivariant K-theory classes. In the latter case, we prove that hemisphere partition functions are affine characters and determine the normalization factors explicitly in special cases. |
| title | Factorizations of 3d Interval Partition Functions |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2509.23902 |