Google has announced that anyone using a pseudonym instead of their real name on Google+ is now at risk of account suspension.
Anyway, Google allows common name apart from the Real name. Refer below the explanation from Google.
Google+ makes connecting with people on the web more like connecting with people in the real world. Because of this, it’s important to use your common name so that the people you want to connect with can find you. Your common name is the name your friends, family or co-workers usually call you. For example, if your legal name is Charles Jones Jr. but you normally use Chuck Jones or Junior Jones, any of these would be acceptable
Lot of discussions are going on about Google’s Real Name Policy.
Some calling it revolutionary and others marking it an abuse of power.
You can share your thoughts about Google’s Google+ name policy thro’ the comments.
Google has announced that accounts currently using a pseudonym or nickname won’t be immediately suspended, instead it will be giving 4 days grace period to fix the profile name issue.