Spacetime Properties of ZZ D-Branes

TL;DR

This paper investigates the spacetime properties of $(m,n)$ ZZ D-branes in type 0 string theories using three different methods, revealing their tension, RR charge, and consistency with equations of motion.

Contribution

It introduces a comprehensive analysis of $(m,n)$ ZZ D-branes' spacetime fields using wave functions and probe methods, extending mini-superspace approximations.

Findings

Tension of $(m,n)$ ZZ branes is $mn$ times that of $(1,1)$ brane.

RR charge is non-zero only when both $m$ and $n$ are odd, matching the $(1,1)$ brane.

Space-time fields satisfy the equations of motion, confirming consistency.

Abstract

We study the tachyon and the RR field sourced by the $(m,n)$ ZZ D-branes in type 0 theories using three methods. We first use the mini-superspace approximation of the closed string wave functions of the tachyon and the RR scalar to probe these fields. These wave functions are then extended beyond the mini-superspace approximation using mild assumptions which are motivated by the properties of the corresponding wave functions in the mini-superspace limit. These are then used to probe the tachyon and the RR field sourced. Finally we study the space time fields sourced by the $(m,n)$ ZZ D-branes using the FZZT brane as a probe. In all the three methods we find that the tension of the $(m,n)$ ZZ brane is $mn$ times the tension of the $(1,1)$ ZZ brane. The RR charge of these branes is non-zero only for the case of both $m$ and $n$ odd, in which case it is identical to the charge of the $(1,1)$ brane. As a consistency check we also verify that the space time fields sourced by the branes satisfy the corresponding equations of motion.