I am not very familiar with databases and the theories behind how they work. Is it any slower from a performance standpoint (inserting/updating/querying) to use Strings for Primary Keys than integers?
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Strings are slower in joins and in real life they are very rarely really unique (even when they are supposed to be). The only advantage is that they can reduce the number of joins if you are joining to the primary table only to get the name. However, strings are also often subject to change thus creating the problem of having to fix all related records when the company name changes or the person gets married. This can be a huge performance hit and if all tables that should be related somehow are not related (this happens more often than you think), then you might have data mismatches as well. An integer that will never change through the life of the record is a far safer choice from a data integrity standpoint as well as from a performance standpoint. Natural keys are usually not so good for maintenance of the data.
I also want to point out that the best of both worlds is often to use an autoincrementing key (or in some specialized cases, a GUID) as the PK and then put a unique index on the natural key. You get the faster joins, you don;t get duplicate records, and you don't have to update a million child records because a company name changed.
What is your reason for having a string as a primary key?
I would just set the primary key to an auto incrementing integer field, and put an index on the string field.
That way if you do searches on the table they should be relatively fast, and all of your joins and normal look ups will be unaffected in their speed.
You can also control the amount of the string field that gets indexed. In other words, you can say "only index the first 5 characters" if you think that will be enough. Or if your data can be relatively similar, you can index the whole field.