One of the questions people are always asking is "Are there special varieties of tomatoes to grow hydroponically?" and the answer tends to be what I call the universal answer which is: "It depends."
There are tomato cultivars that industrial hydroponics growers tend to favor. Apollo, Belmondo, Caruso, Dombito, Larma, Perfecto, Trend, and Trust are all cultivars developed specifically for hydroponics. Click here for a bit more. One problem with cultivars adopted by commercial growers is that they tend to be selected primarily for yield and not for taste.
The fact is that you can grow any kind of tomato you want in hydroponics. I've grown at least twenty varieties over the years. I prefer indeterminates just because they yield better in my experience but I have not grown enough determinates to make that a hard fast rule. It is simply amazing how many different kinds of tomato plants you can buy seeds for. One problem I have is that I swear they keep changing the names. Lots of the varieties are hybrids.
Let me mention just a few. The first cherry tomatoes I ever grew were Sungolds. I've also grown Mexican Midgets which are nice little round cherry tomatoes. I've also grown larger tomatoes especially the Big Boys, Better Boys, Beefsteak that my wife thinks are the only real tomatoes because when you slice one the slice covers the bun. But my all time favorite tomato is the hybrid French Dona. It's not a large tomato but it is beautiful, round and luscious red, and very very tasty. But don't just take my word for it. Check out Dave's Garden
Whatever you decide to grow, it's fun to grow a variety of things and experiment a little every year.