Is a consistent holographic description of excited hadrons with fixed L possible?

TL;DR

This paper proves a no-go theorem showing that a consistent holographic model of excited mesons with fixed angular momentum L, preserving chiral symmetry and unitarity, cannot generally be constructed.

Contribution

It establishes fundamental limitations on holographic descriptions of mesons with fixed L, highlighting the incompatibility of certain theoretical constraints.

Findings

Holographic models cannot simultaneously preserve chiral symmetry and unitarity for fixed L

The no-go theorem applies broadly in 3+1 dimensions for meson descriptions

Constraints challenge the development of consistent holographic QCD models

Abstract

We present a no-go theorem that it is impossible in general to construct a holographic description of each meson with the quark-antiquark valence degree of freedom only with fixed (conserved) quantum number L in 3+1 dimensions and that would satisfy at the same time manifest chiral symmetry in the ultraviolet and would not violate unitarity.