论文标题
部分可观测时空混沌系统的无模型预测
Negative scalar potentials and the swampland: an Anti-Trans-Planckian Censorship Conjecture
论文作者
论文摘要
在本文中，我们得出了负标量电势的特征，即$ v <0 $，$ d $二维有效的量子重力理论。这要归功于反trans-planckian审查制度猜想（ATCC），灵感来自TCC的精致版本。 ATCC依赖于以下事实：在缔约国中，变为次潘克的模式长期违反了有效理论的有效性。在现场空间的渐近学中，我们推断出$ -v'/v \ geq c_0 $当$ v'\ geq 0 $。费率$ c_0 = 2/\ sqrt {（d-1）（d-2）} $在几个字符串压缩中成功测试了$ d \ geq 4 $。此外，派生了一种新的渐近条件，即$ v'''/v \ geq c_0^2 $。通过推断到半径$ l $的反DE保姆解决方案，我们推断出质量应服从$ m^2 l^2 \ lyssim -2 $的标量的存在。在许多超对称示例中验证了该特性。
In this paper, we derive a characterisation of negative scalar potentials, $V<0$, in $d$-dimensional effective theories of quantum gravity. This is achieved thanks to an Anti-Trans-Planckian Censorship Conjecture (ATCC), inspired by a refined version of the TCC. The ATCC relies on the fact that in a contracting universe, modes that become sub-Planckian in length violate the validity of the effective theory. In the asymptotics of field space, we deduce that $-V'/V \geq c_0$ when $V' \geq 0$. The rate $c_0 = 2/\sqrt{(d-1)(d-2)}$ is successfully tested in several string compactifications for $d\geq 4$. In addition, a new asymptotic condition, $V''/V \geq c_0^2$, is derived. By extrapolation to anti-de Sitter solutions of radius $l$, we infer the existence of a scalar whose mass should obey $m^2 l^2 \lesssim -2$. This property is verified in many supersymmetric examples.
