Duality and supersymmetry constraints on the weak gravity conjecture
- PDF / 936,830 Bytes
- 22 Pages / 595.276 x 841.89 pts (A4) Page_size
- 104 Downloads / 261 Views
Springer
Received: June 24, 2020 Accepted: September 30, 2020 Published: November 4, 2020
Gregory J. Loges,a Toshifumi Noumib and Gary Shiua a
Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, U.S.A. b Department of Physics, Kobe University, Kobe 657-8501, Japan
E-mail: [email protected], [email protected], [email protected] Abstract: Positivity bounds coming from consistency of UV scattering amplitudes are not always sufficient to prove the weak gravity conjecture for theories beyond EinsteinMaxwell. 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-dilatonaxion 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. Keywords: Black Holes, Black Holes in String Theory, String Duality, Supersymmetry and Duality ArXiv ePrint: 2006.06696
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)008
JHEP11(2020)008
Duality and supersymmetry constraints on the weak gravity conjecture
Contents 1
2 Symmetries of the low-energy effective action 2.1 SL(2, R) 2.2 O(d, d; R)
2 3 4
3 Leading-order solution
6
4 Higher-derivative corrections via thermodynamics 4.1 Leading-order thermodynamics 4.2 SL(2, R) 4.3 O(d, d; R) 4.4 Supersymmetry
7 7 8 11 14
5 Discussion
15
A Positivity bounds in gravitational theories
16
1
Introduction
The weak gravity conjecture (WGC) posits the existence of a state with charge larger than its mass, in appropriate units [1]. In its mild from, it is enough to have the extremality bound of charged black holes be less stringent when corrections to the classical action are included [2–14]. While the mild form alone does not display the full predictive power for phenomenology,1 when combined with additional UV properties such as modular invariance [30–32] it can lead to stronger forms of the WGC such as the sublattice WGC [30, 31] and the tower WGC [33]. For this reason, considerable efforts have been devoted toward a proof of the mild form of the WGC as a basis of the web of WGCs. An important issue in this context is to identify consistency conditions necessary to demonstrate the conjecture. At low energies, corrections to the black hole extremality bound may be captured by higher-derivative operators, so that the mild form of the WGC follows if the effective couplings sat
Data Loading...
