Codina Tomas, Hohm Olaf, Marques Diego
Institute for Physics, Humboldt University Berlin, Zum Großen Windkanal 6, D-12489 Berlin, Germany.
Instituto de Astronomía y Física del Espacio, Casilla de Correo 67 - Suc. 28 (C1428ZAA), Buenos Aires, Argentina.
Phys Rev Lett. 2021 Apr 30;126(17):171602. doi: 10.1103/PhysRevLett.126.171602.
We compute the cosmological reduction of the fourth powers of the Riemann tensor claimed to arise in string theory at order α^{'}^{3}, with an overall coefficient proportional to ζ(3), and show that it is compatible with an O(9,9) symmetry. This confirms the general result in string theory, due to Sen [O(d)×O(d) symmetry of the space of cosmological solutions in string theory, scale factor duality and two-dimensional black holes, Phys. Lett. B 271, 295 (1991)PYLBAJ0370-269310.1016/0370-2693(91)90090-D], that classical string theory with d-dimensional translation invariance admits an O(d,d) symmetry to all orders in α^{'}.
我们计算了弦理论中声称在α′³阶出现的黎曼张量四次方的宇宙学约化，其整体系数与ζ(3)成正比，并表明它与O(9,9)对称性兼容。这证实了弦理论中的一般结果，这是由于森[弦理论中宇宙学解空间的O(d)×O(d)对称性、尺度因子对偶性和二维黑洞，《物理快报B》271, 295 (1991)PYLBAJ0370 - 269310.1016/0370 - 2693(91)90090 - D]，即具有d维平移不变性的经典弦理论在α′的所有阶都允许O(d,d)对称性。
