A 28-year-old woman presents with a 5-day history of right eye pain, photophobia, and blurred vision. She reports a vesicular rash on the forehead and right upper eyelid that appeared 2 days before ocular symptoms. On examination, visual acuity is 6/9, there is conjunctival injection, and slit-lamp examination reveals multiple branching dendritic ulcers with terminal bulbs on the cornea. Fluorescein staining shows uptake at the ulcer margins. What is the most likely diagnosis?