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arXiv 2607.19462hep-thmath-phmath.MP

朗克尔 - 瓦茨弦

The Runkel-Watts string

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

AI总结:

该研究引入并求解通过耦合Liouville CFT与广义Runkel-Watts CFT得到的二维弦理论,经取极限导出弦振幅全亏格公式并建立对偶性,可解释为与引力耦合的二维\(SU(2)\)杨 - 米尔斯理论,还与其他最小弦构造相关。

AI中文摘要:

我们引入并求解了通过将刘维尔共形场论(Liouville CFT)与广义朗克尔 - 瓦茨共形场论(generalized Runkel-Watts CFT)耦合得到的一族新的二维弦理论。通过对复刘维尔弦取适当极限,我们导出了其弦振幅的全亏格公式,并建立了与矩阵积分的对偶性。我们解释说它可被解释为与引力耦合的二维\(SU(2)\)杨 - 米尔斯理论。我们表明它还直接与其他最小弦构造相关,如\(A\)系列最小弦。

英文摘要:

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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