Holographic Approach to Regge Trajectory and Rotating D5 brane

TL;DR

This paper models the Regge trajectories of holographic mesons and baryons using rotating strings and D5 branes in a type IIB superstring background, linking the slope to gauge condensate and matching experimental data.

Contribution

It introduces a holographic model with rotating strings and D5 branes to analyze meson and baryon trajectories, establishing a relation between the slope and gauge condensate.

Findings

The meson slope is inversely proportional to the square root of the gauge condensate.

Including the spinning baryon vertex yields Regge slopes consistent with N and Δ baryon series.

Trajectories shift to higher masses with increasing quark mass, maintaining the same slope.

Abstract

We study the Regge trajectories of holographic mesons and baryons by considering rotating strings and D5 brane, which is introduced as the baryon vertex. Our model is based on the type IIB superstring theory with the background of asymptotic $AdS_5\times S^5$. This background is dual to a confining supersymmetric Yang-Mills theory (SYM) with gauge condensate, $<F^2>$, which determines the tension of the linear potential between the quark and anti-quark. Then the slope of the meson trajectory ($\alpha'_{M}$) is given by this condensate as $\alpha'_{M}=1/\sqrt{\pi <F^2>}$ at large spin $J$. This relation is compatible with the other theoretical results and experiments. For the baryon, we show the importance of spinning baryon vertex to obtain a Regge slope compatible with the one of $N$ and $\Delta$ series. In both cases, mesons and baryons, the trajectories are shifted to large mass side with the same slope for increasing current quark mass.