发表机构
Uppsala University; Stockholm University（乌普萨拉大学; 斯德哥尔摩大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
通过提升无张力弦到高维并规范固定尺度对称性，构造了德西特零弦，证明其等价于Carroll-Weyl弦，并澄清了后者维度问题，同时推广到反德西特情形。
AI 中文摘要
我们通过将标准无张力弦提升到$R^{1,d}$空间，以一种新颖的方式构造了$dS_d$零弦。对世界面尺度对称性进行规范固定会在作用量中引入破坏平移不变性的项，但保持$dS_d$对称性$SO(1,d)$不变。选择德西特对称的尺度对称性规范固定，我们得到一个$d$维理论，并证明该理论具有$dS_d$无张力弦的所有预期性质。该作用量恰好是$R^{1,d}$中引人入胜的Carroll-Weyl对称弦作用量，现在在$d$维中有了明确的目标空间解释。它并不像最近所声称的那样代表平坦($d+1$)维闵可夫斯基空间中的($d+1$)维弦，这解决了Carroll-Weyl弦模型的一个明显问题。此外，尽管在(A)dS背景下类似的有张力弦表述存在明显障碍，我们的新见解很容易修改为反德西特无张力弦的表述。我们的构造纯粹通过代数方式生成弯曲几何，这可能具有更广泛的应用。
英文摘要
We construct a $dS_d$ null string in a novel way by lifting the standard tensionless string to $R^{1,d}$. Gauging worldsheet scale symmetry introduces terms in the action breaking translation invariance, but preserving the $dS_d$ symmetry $SO(1,d)$. Choosing a De Sitter symmetric gauge fixing of the scale symmetry yields a $d$ dimensional theory which we show has all the expected properties of $dS_d$ tensionless strings. The action happens to be the intriguing Carrol-Weyl symmetric string action in $R^{1,d}$, now with a clear target space interpretation in $d$ dimensions. That it does not, as recently claimed, represent a ($d+1$)-dimensional string in flat ($d+1$)-dimensional Minkowski space settles an apparent issue with the Carrol-Weyl string model. Furthermore, while there are clear obstacles for similar formulations of tensile strings in (A)dS backgrounds, our new insights are easily modified to the formulation of Anti-De Sitter tensionless strings. That our construction generates a curved geometry purely algebraically may have even wider applications.
Comments8 pages, no figures
