World-sheet dynamics of ZZ branes

TL;DR

This paper explores how non-compact ZZ branes arise as a limit of compact FZZT branes in minimal models coupled to 2D quantum gravity, revealing the relationship between boundary conditions and space-time geometry.

Contribution

It demonstrates the emergence of non-compact ZZ branes as a specific limit of FZZT branes in (2,2m-1) minimal models coupled to 2D quantum gravity.

Findings

ZZ branes emerge as a limit of FZZT branes under specific boundary cosmological constant ratios.

The relationship between boundary conditions and space-time geometry is clarified.

The results connect non-compact and compact branes within minimal models.

Abstract

We show how non-compact space-time (ZZ branes) emerges as a limit of compact space-time (FZZT branes) for specific ratios between the square of the boundary cosmological constant and the bulk cosmological constant in the (2,2m-1) minimal model coupled to two-dimensional quantum gravity.