From WoD Gotham
Adversarial Backgrounds are what they sound like. They are Backgrounds that are more like disadvantages than advantages. Most Adversarial Backgrounds directly oppose Backgrounds in concept. You do not have to have the Backgrounds on your character sheet to have the Adversarial Background or vice versa.
Adversarial Backgrounds are treated like Flaws and are counted as your character’s total Flaws taken at character creation. Each dot in Adversarial Backgrounds is equal to one point in Flaws. Flaws and Adversarial Backgrounds taken together are limited to 7 points at character creation. They may not be stacked or made into a Differential Trait.
For information on what Adversarial Backgrounds are available, please refer to the tables below: