论文标题
对弱重力猜想的二元性和超对称约束
Duality and Supersymmetry Constraints on the Weak Gravity Conjecture
论文作者
论文摘要
紫外线散射幅度的一致性产生的阳性范围通常不足以证明爱因斯坦 - 马克斯韦尔以外的理论的弱重力猜想。对于排除那些与弱重力猜想的预测相抵触的参数空间区域可能需要进行其他有关紫外线的其他成分。在本文中，我们探讨了从紫外线理论中施加其他对称对称性的后果，而对爱因斯坦 - 马克斯韦尔 - 二桥理论的高衍生算子则。使用黑洞热力学，对于保留的SL（$ 2，\ Mathbb {r} $）对称性，我们发现当时弱的重力猜想确实来自阳性界限。对于保留的O（$ d，d; \ Mathbb {r} $）对称性，我们在两个Wilson系数上找到了一个简单的条件，可确保校正与电荷与质量比的阳性，并且仅根据无效的能量条件。我们发现，在这两个对称性的两个之上施加超对称性，对BPS状态的预期进行了校正，从而消失了。
Positivity bounds coming from consistency of UV scattering amplitudes are in general insufficient to prove the weak gravity conjecture for theories beyond Einstein-Maxwell. Additional ingredients about the UV may be necessary to exclude those regions of parameter space which are naïvely in conflict with the predictions of the weak gravity conjecture. In this paper we explore the consequences of imposing additional symmetries inherited from the UV theory on higher-derivative operators for Einstein-Maxwell-dilaton-axion theory. Using black hole thermodynamics, for a preserved SL($2,\mathbb{R}$) symmetry we find that the weak gravity conjecture then does follow from positivity bounds. For a preserved O($d,d;\mathbb{R}$) symmetry we find a simple condition on the two Wilson coefficients which ensures the positivity of corrections to the charge-to-mass ratio and that follows from the null energy condition alone. We find that imposing supersymmetry on top of either of these symmetries gives corrections which vanish identically, as expected for BPS states.
