The paper explores the shadow of slowly rotating Kalb-Ramond (KR) black holes, a theoretical framework that incorporates antisymmetric tensor fields, known as KR fields, which induce Lorentz violation. Using the slow-rotation approximation, the authors derive first-order rotation series solutions for these black holes. They plot the black hole shadow contours using numerical backward ray-tracing and observe that as the Lorentz-violating parameter increases, the apparent size of the shadow decreases, while the effects of rotation, such as the D-shaped structure and frame-dragging, become more pronounced. The KR field also enhances gravitational lensing, causing the shadow to occupy a larger area within the photon ring. This distinctive feature can differentiate KR gravity from general relativity. The authors use observational data from the Event Horizon Telescope (EHT) on M87* and Sgr A* to constrain the Lorentz-violating parameter, finding that rotating black holes allow for stronger Lorentz violation effects compared to static black holes. The study provides insights into the impact of Lorentz violation on black hole shadows and offers a method to test gravitational theories.The paper explores the shadow of slowly rotating Kalb-Ramond (KR) black holes, a theoretical framework that incorporates antisymmetric tensor fields, known as KR fields, which induce Lorentz violation. Using the slow-rotation approximation, the authors derive first-order rotation series solutions for these black holes. They plot the black hole shadow contours using numerical backward ray-tracing and observe that as the Lorentz-violating parameter increases, the apparent size of the shadow decreases, while the effects of rotation, such as the D-shaped structure and frame-dragging, become more pronounced. The KR field also enhances gravitational lensing, causing the shadow to occupy a larger area within the photon ring. This distinctive feature can differentiate KR gravity from general relativity. The authors use observational data from the Event Horizon Telescope (EHT) on M87* and Sgr A* to constrain the Lorentz-violating parameter, finding that rotating black holes allow for stronger Lorentz violation effects compared to static black holes. The study provides insights into the impact of Lorentz violation on black hole shadows and offers a method to test gravitational theories.