We study the one-dimensional (1D) swarmalator model with time-delayed interactions. Delay preserves the familiar static states—sync, async, and phase wave—but generates two new families of nonstatic states. One bifurcates from the phase wave at $\tau ={\tau }_c(J,K)$; the other bifurcates from the async state at $K_c=-\pi /\tau$ and includes a limit cycle, an irregular unsteady regime, and a partially synchronized state. We derive both bifurcation boundaries analytically. A surprising result is that the stability of the sync state is independent of $\tau$; it depends only on the coupling strength.

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• Biological self-organization
• Swarming
• Synchronization