Park Jeong-Hyuck, Sugimoto Shigeki
Department of Physics, Sogang University, 35 Baekbeom-ro, Mapo-gu, Seoul 04107, Korea.
Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.
Phys Rev Lett. 2020 Nov 20;125(21):211601. doi: 10.1103/PhysRevLett.125.211601.
The O(D,D) covariant generalized metric, postulated as a truly fundamental variable, can describe novel geometries where the notion of Riemannian metric ceases to exist. Here we quantize a closed string upon such backgrounds and identify flat, anomaly free, non-Riemannian string vacua in the familiar critical dimension, D=26 (or D=10). Remarkably, the whole Becchi-Rouet-Stora-Tyutin closed string spectrum is restricted to just one level with no tachyon, and matches the linearized equations of motion of double field theory. Taken as an internal space, our non-Riemannian vacua may open up novel avenues alternative to traditional string compactification.
作为一个真正基本变量而假设的O(D,D)协变广义度规，可以描述黎曼度规概念不再存在的新几何。在此，我们在这样的背景下对闭弦进行量子化，并在熟悉的临界维度D = 26（或D = 10）中识别出平坦、无反常、非黎曼的弦真空。值得注意的是，整个贝奇-鲁埃-斯托拉-秋京闭弦谱被限制在仅一个能级且没有快子，并且与双场论的线性化运动方程相匹配。作为一个内部空间，我们的非黎曼真空可能开辟出替代传统弦紧致化的新途径。
