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arXiv · 2604.24839

Upgrading Extremal Flows in the Space of Derivatives

Rajeev S. Erramilli
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Abstract

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.

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Rajeev S. Erramilli. 2026-04-27. Upgrading Extremal Flows in the Space of Derivatives. https://arxiv.org/abs/2604.24839

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