Duality and supersymmetry constraints on the weak gravity conjecture

Journal of High Energy Physics

Toshifumi Noumi¹  Gary Shiu²  Gregory J. Loges² 

[1] Department of Physics, Kobe University, 657-8501, Kobe, Japan;Department of Physics, University of Wisconsin-Madison, 53706, Madison, WI, USA;

关键词: Black Holes;    Black Holes in String Theory;    String Duality;    Supersymmetry and Duality;   

DOI  :  10.1007/JHEP11(2020)008

来源: Springer

【 摘 要 】

Positivity bounds coming from consistency of UV scattering amplitudes are not always sufficient 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, ℝ) symmetry we find that the weak gravity conjecture then does follow from positivity bounds. For a preserved O(d, d; 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.

【 授权许可】

CC BY