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Award ID contains: 1734155

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  1. ; ; ; (, Letters in mathematical physics)
    Accepted Manuscript Full Text Available
  2. ; (, Classical and quantum gravity)
    We construct a notion of teleparallelization for Newton–Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparallel equivalent of a five-dimensional gravitational wave solution. This work thus strengthens substantially the connections between four theories: Newton–Cartan theory, Newtonian gravitation theory, general relativity, and teleparallel gravity. 
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    Accepted Manuscript Full Text Available
  3. ; ; (, British journal for the philosophy of science)
    The idea that gauge theory has ‘surplus’ structure poses a puzzle: in one much discussed sense, this structure is redundant; but on the other hand, it is also widely held to play an essential role in the theory. In this article, we employ category-theoretic tools to illuminate an aspect of this puzzle. We precisify what is meant by surplus structure by means of functorial comparisons with equivalence classes of gauge fields, and then show that such structure is essential for any theory that represents a rich collection of physically relevant fields that are ‘local’ in nature. 
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    Accepted Manuscript Full Text Available