Phase Transitions In M-Theory And F-Theory

TL;DR

This paper explores phase transitions in M-theory and F-theory, focusing on topology changes and the nature of moduli space boundaries, revealing differences from conformal field theory and mechanisms involving tensionless strings.

Contribution

It provides new insights into the nature of phase transitions and moduli space boundaries in M-theory and F-theory, highlighting the absence of non-geometrical phases and mechanisms involving tensionless strings.

Findings

Topology-changing transitions in M-theory are similar to conformal field theory transitions.

Non-geometrical phases are absent in M-theory compactifications.

Boundaries of moduli space end through conventional or tensionless string mechanisms.

Abstract

Phase transitions are studied in $M$-theory and $F$-theory. In $M$-theory compactification to five dimensions on a Calabi-Yau, there are topology-changing transitions similar to those seen in conformal field theory, but the non-geometrical phases known in conformal field theory are absent. At boundaries of moduli space where such phases might have been expected, the moduli space ends, by a conventional or unconventional physical mechanism. The unconventional mechanisms, which roughly involve the appearance of tensionless strings, can sometimes be better understood in $F$-theory.