The Blackbody Radiation Laws in the $ \textrm{AdS}_5 \times {\cal S}^5 $ Spacetime

TL;DR

This paper extends blackbody radiation laws to the higher-dimensional $\mathrm{AdS}_5 \times \mathcal{S}^5$ spacetime, revealing new features consistent with known laws at low energies and contributing to the understanding of holographic dualities.

Contribution

It generalizes Stefan-Boltzmann and Wien's laws for the $\mathrm{AdS}_5 \times \mathcal{S}^5$ background, incorporating full dimensionality effects in the electromagnetic wave equation.

Findings

Total radiated power matches classical laws at low energies.

Spectral radiancy exhibits higher-dimensional characteristics.

Results align with experimental data in the low-energy regime.

Abstract

In the footsteps of our previous work \cite{RamatonBoschi} we generalize the Stefan-Boltzmann and Wien's displacement laws for the $ \textrm{AdS}_5 \times {\cal S}^5 $ spacetime, the background of the AdS/CFT correspondence foremost realization. Our results take into account the $ \textrm{AdS}_5 \times {\cal S}^5 $ full dimensionality in the electromagnetic field $A^{\mu}$ wave equation, which yields the higher-dimensional blackbody characteristic features suggested in literature. In particular, the total radiated power and the spectral radiancy match the original Stefan-Boltzmann and Wien's displacement laws in the low-energy regime up to available experimental data.