Universal Class of Type-IIB Flux Vacua with Analytic Mass Spectrum

Abstract

We report on a new class of flux vacua generically present in Calabi-Yau compactifications of type-IIB string theory. At these vacua, the mass spectrum of the complete axio-dilaton/complex structure sector is given, to leading order in ${\alpha }^{\prime }$ and $g_s$, by a simple analytic formula independent of the choice of Calabi-Yau. We provide a method to find these vacua, and construct an ensemble of $17,054$ solutions for the Calabi-Yau hypersurface ${\mathbb{WP}}_{[1,1,1,6,9]}^4$, where the masses of the axio-dilaton and the $272$ complex structure fields can be explicitly computed.

10 pages, 5 figures; v2: fixed typos, added references; v3: fixed typos, added appendix on estimate of the number of vacua