Perturbative LVS and Inflation: A Review of Volume Modulus and Fibre Scenarios

In type IIB superstring compactifications, incorporating log-loop corrections and higher-derivative ${({\alpha }^{\mathrm{\prime }})}^3$-corrections can stabilize the overall volume of the compact internal space at exponentially large values. This mechanism forms the basis of the perturbative Large Volume Scenario (LVS). In this report, we briefly review two inflationary models realized within the perturbative LVS framework. The first one is the volume modulus inflation (also known as inflection point inflation) and the second one is popularly known as fibre inflation. Using an explict Calabi-Yau orientifold, some concrete global embeddings of both models are also discussed.