On Issues in Swiss Cheese Compactifications

TL;DR

This paper reviews issues in Swiss Cheese Calabi-Yau flux compactifications, focusing on non-supersymmetric de Sitter vacua, axionic inflation, and the inverse problem for black holes, using large-volume scenarios.

Contribution

It explores the feasibility of non-supersymmetric dS minima and axionic inflation without anti-D3 branes, and investigates the inverse problem and fake superpotentials in black hole solutions.

Findings

Potential for non-supersymmetric dS vacua without anti-D3 branes

Insights into axionic slow-roll inflation mechanisms

Analysis of inverse problems and fake superpotentials in black holes

Abstract

We give a brief review of our previous works: [1,2]. We discuss two sets of issues. The first has to do with the possibility of getting a non-supersymmetric dS minimum without the addition of anti-D3 branes as in KKLT, and axionic slow-roll inflation, in type II flux compactifications. The second has to do with the "Inverse Problem" [3] and "Fake Superpotentials" [4] for extremal (non)supersymmetric black holes in type II compactifications. We use (orientifold of) a "Swiss Cheese" Calabi-Yau [5] expressed as a degree-18 hypersurface in WCP^4[1,1,1,6,9] in the "large-volume-scenario" limit [6] for the former.