Kind of weird situation in a split I recently made. From one of my best hives, I pulled a few frames that had eggs and larva on it. Added some honey frames and waited to see if they'd make a queen. At first, I thought the experiment was a failure, but left it for a couple weeks. About a week ago, I popped the lid and was surprised to see lots of bees in the hive, so left it as is. (Still in one medium box.)
Today, I opened it again to take a closer look. Still lots of bees, and they're putting up nectar, honey, and pollen like nobody's business, but there are no eggs or larva. I pulled each frame and did see the queen.
Not sure what's going on in there. Maybe a new queen that hasn't gotten started? She looked plump, and not what I think a virgin queen would look like.
In addition, you should think about another brood box (sooner than later). The bees have been free of feeding larvae so they have gone to town gathering nectar and pollen. Now they are running out of room and need space for the new queen to lay. With all those supplies, she is likely to ramp up laying in a hurry.