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Coupling constants of $\rho$- and $\omega$- meson-nucleon are related witheach other by isospin relation. In present work, it is aimed at studying theviolation (if it exists) of isospin symmetry of the $\omega$-meson and to studythe temperature dependence of $\omega$-meson-nucleon-delta and$\omega$-meson-delta coupling constants using the soft-wall model ofholographic QCD. Firstly, the coupling constants are obtained by applying theprofile functions of the vector and fermion fields to the model at a finitetemperature. The interaction Lagrangian is written, including the minimum andmagnetic interactions of vector and fermion fields which is defined in the bulkof the 5-dimensional AdS space-time. Secondly, the temperature dependence ofthe coupling constants $g_{\omega N N}(T)$, $g_{\omega \Delta \Delta}(T)$ and$g_{\omega N \Delta}(T)$ has been plotted. Comparing $g_{\omega N N}(T)$ withthe coupling constant $g_{\rho NN}(T)$, it obtained that the isospin symmetryof the omega meson is not violated at the finite temperature. It is alsoobserved that the coupling constants of the $\omega$ vector meson with baryonsdecreases with increasing temperature, and this coupling constant becomes zeronear the Hawking phase transition temperature.

Isospin symmetry of $\omega$ meson in the soft-wall model of holographic QCD at finite temperature