Upgrading Extremal Flows in the Space of Derivatives
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910172227567616 |
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| author | Erramilli, Rajeev S. |
| author_facet | Erramilli, Rajeev S. |
| contents | The method of extremal flows has presented an alluring alternative approach to numerically solving bootstrap constraints. Here I present the development and adaptation of that approach to a more general class of flows with apparent discontinuities. I focus on upgrading solutions of gap maximization for the spinning modular bootstrap from low to high numerical order, though the methodology is generic to a broader class of bootstrap constraints and flows. This methodology presents various nontrivialities and nuances which reflect a richness of the space of bootstrap solutions. The result is a prototype which successfully upgrades solutions in a simple test case at small scale. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_24839 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Upgrading Extremal Flows in the Space of Derivatives Erramilli, Rajeev S. High Energy Physics - Theory The method of extremal flows has presented an alluring alternative approach to numerically solving bootstrap constraints. Here I present the development and adaptation of that approach to a more general class of flows with apparent discontinuities. I focus on upgrading solutions of gap maximization for the spinning modular bootstrap from low to high numerical order, though the methodology is generic to a broader class of bootstrap constraints and flows. This methodology presents various nontrivialities and nuances which reflect a richness of the space of bootstrap solutions. The result is a prototype which successfully upgrades solutions in a simple test case at small scale. |
| title | Upgrading Extremal Flows in the Space of Derivatives |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.24839 |