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arXiv · 2607.19462

The Runkel-Watts string

Mattia Biancotto·Lorenz Eberhardt·Victor A. Rodriguez·Zi-Yue Wang
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Abstract

We introduce and solve a new family of two-dimensional string theories obtained by coupling Liouville CFT to the generalized Runkel-Watts CFT. By taking an appropriate limit of the complex Liouville string, we derive an all-genus formula for its string amplitudes, and formulate a duality with a matrix integral. We explain that it can be interpreted as 2d SU(2) Yang-Mills theory coupled to gravity. We show that it also directly relates to other minimal string constructions such as the A-series minimal string.

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Mattia Biancotto, Lorenz Eberhardt, Victor A. Rodriguez, Zi-Yue Wang. 2026-07-21. The Runkel-Watts string. https://arxiv.org/abs/2607.19462

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