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Atrium > Mathematics, Physics & Philosophy: Category theory

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    • CommentRowNumber1.
    • CommentAuthorastuart911
    • CommentTimeApr 21st 2015
    Hello. I am new to the site, and new to category theory. I have an assignment to give a lecture for my quantum field theory. I encountered an unforeseeable event that put me on a very tight schedule and I am now not finding resources quickly enough. Ideally I am looking for a 10(isn) page paper that in very basic categorical terms for a one hour lecture to a graduate quantum field theory class that has never seen category theory before. Can someone please refer me to a short review of underlying categorical structure of grand unified theories (with priority given to so(10))?

    Thank you.
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2015
    • (edited Apr 21st 2015)

    I had a few suggestions until I saw your last sentence. There is no particular category theoretic structure in GUTs apart from what category structure there is in general QFT and gauge theory.

    Here are two suggestions I had before I saw your last sentence:

    on the need for monoidal categories: John Baez, Quantum Quandaries: a Category-Theoretic Perspective

    on the need for sheaves and stacks: Ragnar Eggertsson, Stacks in Gauge theory

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