Compactification of Type IIB String Theory on Calabi-Yau Threefolds

TL;DR

This paper analyzes the compactification of type IIB string theory on Calabi-Yau threefolds, deriving the effective low-energy theory, exploring its symmetries, and relating it to type IIA theory via mirror symmetry.

Contribution

It provides an explicit formulation of the low-energy effective Lagrangian and maps it to type IIA string theory, highlighting the effects of strong coupling on SL(2,Z) symmetry.

Findings

Derived the effective Lagrangian in the large volume limit

Mapped type IIB compactification to type IIA mirror theory

Identified symmetry breaking of SL(2,Z) at strong coupling

Abstract

We study compactifications of type IIB supergravity on Calabi-Yau threefolds. The resulting low energy effective Lagrangian is displayed in the large volume limit and its symmetry properties - with specific emphasis on the SL(2,Z) - are discussed. The explicit map to type IIA string theory compactified on a mirror Calabi-Yau is derived. We argue that strong coupling effects on the worldsheet break the SL(2,Z).