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Two unresolved questions at galaxy centers, namely the formation of thenuclear star cluster (NSC) and the origin of the gamma-ray excess in the MilkyWay (MW) and Andromeda (M31), are both related to the formation and evolutionof globular clusters (GCs). They migrate towards the galaxy center due todynamical friction, and get tidally disrupted to release the stellar masscontent including millisecond pulsars (MSPs), which contribute to the NSC andgamma-ray excess. In this study, we propose a semi-analytical model of GCformation and evolution that utilizes the Illustris cosmological simulation toaccurately capture the formation epochs of GCs and simulate their subsequentevolution. Our analysis confirms that our GC properties at z=0 are consistentwith observations, and our model naturally explains the formation of a massiveNSC in a galaxy similar to the MW and M31. We also find a remarkable similarityin our model prediction with the gamma-ray excess signal in the MW. However,our predictions fall short by approximately an order of magnitude in M31,indicating distinct origins for the two gamma-ray excesses. Meanwhile, weutilize the catalog of Illustris halos to investigate the influence of galaxyassembly history. We find that the earlier a galaxy is assembled, the heavierand spatially more concentrated its GC system behaves at z=0. This results in alarger NSC mass and brighter gamma-ray emission from deposited MSPs

Globular Clusters Contribute to the Nuclear Star Cluster and Galaxy Center Gamma-Ray Excess, Moderated by Galaxy Assembly History