Mirror quintic vacua: hierarchies and inflation
Nana Cabo Bizet, Oscar Loaiza-Brito, Ivonne Zavala

TL;DR
This paper investigates the moduli space of type IIB string theory on mirror quintic Calabi-Yau, analyzing flux vacua, hierarchies, and potential inflationary regions through detailed period calculations and monodromy considerations.
Contribution
It provides a comprehensive analysis of flux vacua, hierarchies, and inflationary directions in mirror quintic compactifications, including solutions to Picard-Fuchs equations and multi-field inflation prospects.
Findings
Identifies flux vacua at various critical points, including conifold and orbifold.
Discovers inflationary regions involving multi-field dynamics, not single-field axion monodromy.
Highlights the importance of higher-order period expansions for stability and accurate vacua identification.
Abstract
We study the moduli space of type IIB string theory flux compactifications on the mirror of the CY quintic 3-fold in P4. We focus on the dynamics of the four dimensional moduli space, defined by the axio-dilaton {\tau} and the complex structure modulus z. The z-plane has critical points, the conifold, the orbifold and the large complex structure with non trivial monodromies. We find the solutions to the Picard-Fuchs equations obeyed by the periods of the CY in the full z-plane as a series expansion in z around the critical points to arbitrary order. This allows us to discard fake vacua, which appear as a result of keeping only the leading order term in the series expansions. Due to monodromies vacua are located at a given sheet in the z-plane. A dS vacuum appears for a set of fluxes. We revisit vacua with hierarchies among the 4D and 6D physical scales close to the conifold point and…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Pulsars and Gravitational Waves Research · Cosmology and Gravitation Theories
