Tachyon and fixed scalars of D5$_\pm$-D1$_\pm$ black hole in type 0B string theory

TL;DR

This paper analyzes the behavior of tachyon and fixed scalars in D5-D1 black hole backgrounds within type 0B string theory, revealing their roles in stability and instabilities through semiclassical calculations.

Contribution

It provides a detailed semiclassical analysis of tachyon and fixed scalars, clarifying their different roles and stability implications in D-brane black hole backgrounds in type 0B string theory.

Findings

Tachyon induces instability of Minkowski space vacuum.

Fixed scalar $ u$ acts as a test field with stable behavior.

Near-horizon geometry shows similar roles for $ u$ and $T$.

Abstract

In the type 0B string theory, we discuss the role of tachyon($T$) and fixed scalars($\nu,\lambda$). The issue is to explain the difference between tachyon and fixed scalars in the D$5_{\pm}$-D$1_{\pm}$ black hole background. For this purpose, we perform the semiclassical calculation. Here one finds a mixing between ($\nu, \lambda, T$) and the other fields. Using the decoupling procedure, one finds the linearized equation for the tachyon. From the potential analysis, it turns out that $\nu$ plays a role of test field well, while the tachyon induces an instability of Minkowski space vacuum. But the roles of $\nu$ and $T$ are the same in the near-horizon geometry. Finally we discuss the stability problem.