Q: "What is the punishment for adultery and abandonment? "
In the U.S., and in most western countries, adultery has been decriminalized. While historically adultery has been rigorously condemned in cultural and religious traditions, its legal consequences are most often found in divorce cases, particularly in jurisdictions where there are fault-based statutes governing family law.
As for abandonment, I assume your inquiry refers to the marital relationship, and the issues of actual or constructive abandonment are most often delved into in the context of proving entitlement to divorce. If you are facing both an adulterous spouse and abandonment of your marriage, it is important that you seek legal counsel to ascertain and protect your rights to property and marital assets, particularly where children are involved. Check your county clerk's office for resources offering assistance with access to legal counsel and services, and know that many lawyers will offer an initial consultation at no charge.
DISCLAIMER: This publication is distributed with the understanding that it does not constitute legal advice or establish an attorney/client relationship by way of any information contained herein. The information provided is for general purposes only, as readers are advised to consult with a qualified lawyer regarding the specifics of their particular circumstances.