Ultraviolet dissipation and defect OPE in bottom-up holographic interfaces

We study the radial ultraviolet dissipation quantity $c_{UV}$ defined in arXiv:2601.16888v3 and defect OPE data in bottom-up holographic interfaces. We relate $c_{UV}$ along with the defect primary spectrum and BOPE coefficients in the large defect dimension limit to the optical length $\rho$ in the holographic bulk. In addition, we prove a new holographic bound for conformal interfaces relating entanglement entropy, energy transmission and UV dissipation: $$c_{LR}\ge \frac{2c_{\mathrm{e}\mathrm{f}\mathrm{f}}}{2+\pi (c\mathrm{/}{c}_{\mathrm{U}\mathrm{V}}-1)}\mathrm{.}$$ This compliments the upper bound of $c_{LR}$ by $c_{\text{eff}}$ proved in arXiv:2404.01515.