What is the ruling on a wife leaving her husband's home without his permission and seeking divorce with compensation after discovering his schizophrenia, which he did not disclose before marriage?

If a defect is found in one of the spouses that causes aversion and prevents the completeness of enjoyment, the other party has the right to annul the marriage (faskh (definition)). If the personality disorder you mentioned results in what has been stated, it is a clear defect that permits you to annul the marriage. There is no blame upon you for leaving the house out of fear or to emphasize your refusal to stay. Annulment after consummation entitles you to the full dowry (mahr), and you are not entitled to anything more than that. The only compensation available to you is the full dowry, and it is not permissible to demand anything else in exchange for deception or emotional damages, as these do not have financial compensation in Islamic jurisprudence.