Full S-matrices and witten diagrams with relative L ∞ -algebras
Abstract The L ∞ -algebra approach to scattering amplitudes elegantly describes the non-trivial part of the S-matrix but fails to take into account the trivial part. We argue that the trivial contribution to the S-matrix should be accounted for by another, complementary L ∞ -algebra, such that a per...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2025)267 |
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| Summary: | Abstract The L ∞ -algebra approach to scattering amplitudes elegantly describes the non-trivial part of the S-matrix but fails to take into account the trivial part. We argue that the trivial contribution to the S-matrix should be accounted for by another, complementary L ∞ -algebra, such that a perturbative field theory is described by a cyclic relative L ∞ -algebra. We further demonstrate that this construction reproduces Witten diagrams that arise in AdS/CFT including, in particular, the trivial Witten diagrams corresponding to CFT two-point functions. We also discuss Chern-Simons theory and Yang-Mills theory on manifolds with boundaries using this approach. |
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| ISSN: | 1029-8479 |