F-theory flux vacua and attractor equations

Journal of High Energy Physics

Yoshinori Honma¹  Hajime Otsuka² 

[1] Department of Current Legal Studies, Meiji Gakuin University, 244-8539, Yokohama, Kanagawa, Japan;Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization, KEK, 1-1 Oho, 305-0801, Tsukuba, Ibaraki, Japan;

关键词: Black Holes in String Theory;    F-Theory;    Flux compactifications;    Superstring Vacua;   

DOI  :  10.1007/JHEP04(2020)001

来源: Springer

【 摘 要 】

We examine the vacuum structure of 4D effective theories of moduli fields in spacetime compactifications with quantized background fluxes. Imposing the no-scale structure for the volume deformations, we numerically investigate the distributions of flux vacua of the effective potential in complex structure moduli and axio-dilaton directions for two explicit examples in Type IIB string theory and F-theory compactifications. It turns out that distributions of non-supersymmetric flux vacua exhibit a non-increasing functional behavior of several on-shell quantities with respect to the string coupling. We point out that this phenomena can be deeply connected with a previously-reported possible correspondence between the flux vacua in moduli stabilization problem and the attractor mechanism in supergravity, and our explicit demonstration implies that such a correspondence generically exist even in the framework of F-theory. In particular, we confirm that the solutions of the effective potential we explicitly evaluated in Type IIB and F-theory flux compactifications indeed satisfy the generalized form of the attractor equations simultaneously.

【 授权许可】

CC BY