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The eigenstate thermalization hypothesis describes the nonequilibrium dynamics of an isolated quantum many-body system, during which a pure state becomes locally indistinguishable from a thermal ensemble. The discovery of quantum many-body scars (QMBS) shows a weak violation of ergodicity, characterized by coherent oscillations of local observables after a quantum quench. These states consist of the tower of regular eigenstates which are equally spaced in the energy spectrum. While subextensive entanglement scaling is a primary feature widely used to detect QMBS numerically as entropy outliers, rainbow scars exhibit a volume-law scaling, which may challenge this property. In this work, we construct the rainbow scar state in the fracton model on a two-leg ladder. The fracton model is composed of four-body ring-exchange interactions and hosts global time-reversal symmetry $\hat{\mathcal{T}}=\mathcal{K} i \hat{\sigma}^y$ and subsystem $\mathrm{U}(1)=\prod_{j \in\{\mathrm{row} / \mathrm{col}\}} e^{i \frac{\theta}{2} \hat{\sigma}_j^z}$ symmetry. The subsystem symmetry constrains particle mobility, hindering the establishment of thermal equilibrium and leading to a series of anomalous dynamical processes. We construct the rainbow scar state with distributed four-body GHZ states whose entanglement entropy follows the volume law. By calculating the eigenstates of the fracton model with exact diagonalization, the rainbow scar state consists of a series of degenerate high-energy excited states, which are not clearly outliers among other eigenstates in the spectrum. Introducing the on-site interaction to break the time-reversal symmetry, the degeneracy of rainbow scar states is lifted into an equally spaced tower of states, ensuring the revivals of the initial states. However, when subsystem U(1) symmetry is broken, the scar state is quickly thermalized, indicating that weak thermalization may be protected by subsystem U(1) symmetry. Additionally, we propose a scheme for preparing the rainbow scar state by modulating the strength of the four-body interactions and $\hat{\sigma}^z$ operations, analyzing the impact of noise on the strength of the four-body interactions. This work provides new insights for the study of weak thermalization processes in fracton model and helps to understand the nature of ETH-violation in different nonequilibrium systems.
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