Local D3/D7 mu-Split SUSY, 125 GeV Higgs and Large Volume Ricci-Flat Swiss-Cheese Metrics: A Brief Review

TL;DR

This paper reviews recent advances in realizing local D3/D7 mu-Split Supersymmetry within large volume Type IIB string compactifications on Swiss-Cheese Calabi-Yau orientifolds, including Higgs mass generation and Ricci-flat metric construction.

Contribution

It introduces new methods for computing Swiss-Cheese Calabi-Yau metrics away from the big divisor using Donaldson's algorithm and GLSM insights.

Findings

Realization of local D3/D7 mu-Split SUSY in large volume compactifications.

Achieving a 125 GeV Higgs in the string theory setup.

New calculations of Ricci-flat metrics for Swiss-Cheese Calabi-Yau manifolds.

Abstract

In this article, we review briefly recent progress made in realizing local(ized around a mobile space-time filling D3-brane in) D3/D7 mu-Split Supersymmetry in (the large volume limit of Type IIB) String Theory (compactified on Swiss-Cheese Calabi-Yau orientifolds) as well as obtaining a 125 GeV (light) Higgs in the same set up. We also discuss obtaining the geometric Kaehler potential (and hence the Ricci-Flat metric) for the Swiss-Cheese Calabi-Yau in the large volume limit using the Donaldson's algorithm and intuition from GLSM-based calculations - we present new results for Swiss-Cheese Calabi-Yau (used in the set up) metrics at points finitely away from the "big" divisor.