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arXiv 2101.09591hep-th
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$(2,2)$散射和天球环面

$(2,2)$ Scattering and the Celestial Torus

Alexander Atanasov, Adam Ball, Walker Melton, Ana-Maria Raclariu, Andrew Strominger

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19 pages, 1 figure
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摘要：

从Minkowski空间到$(2,2)$分裂签名时空的解析延拓已被证明是研究散射振幅的有力工具。在这里，我们表明，在这种延续下，零无穷大成为产品的零间隔与一个天体环面（取代天球），只有一个连接组件。类空无穷和类时无穷是AdS $_3$的时间周期子。无穷大的这三个分量组合成一个$S^3$，表示为区间上的复曲面纤维化。标量的离散散射态被组织成$SL(2,\mathbb{R})_L \times SL(2,\mathbb{R})_R$共形初级波函数和它们的子波函数，子波函数具有实积分或半积分共形权，使通常连续的散射问题具有离散特征.

英文摘要：

Analytic continuation from Minkowski space to $(2,2)$ split signature spacetime has proven to be a powerful tool for the study of scattering amplitudes. Here we show that, under this continuation, null infinity becomes the product of a null interval with a celestial torus (replacing the celestial sphere) and has only one connected component. Spacelike and timelike infinity are time-periodic quotients of AdS$_3$. These three components of infinity combine to an $S^3$ represented as a toric fibration over the interval. Privileged scattering states of scalars organize into $SL(2,\mathbb{R})_L \times SL(2,\mathbb{R})_R$ conformal primary wave functions and their descendants with real integral or half-integral conformal weights, giving the normally continuous scattering problem a discrete character.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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