This study is designed to assess safety, tolerability, and pharmacokinetics (PK) of single ascending dose (SAD) of ABI-1179 in Part A in healthy participants and multiple-ascending doses (MAD) of ABI-1179 in Part B in participants seropositive for Herpes Simplex Virus Type 2 (HSV-2) with recurrent genital herpes. Effect of food will also be evaluated in Part A.