Monopoles, Duality, and String Theory

By J. Polchinski. 2003

208 citations recorded by the source corpus.

Dirac showed that the existence of magnetic monopoles would imply quantization of electric charge. I discuss the converse, and propose two 'principles of completeness' which I illustrate with various examples. Presented at the Dirac Centennial Symposium, Tallahassee, Dec. 6-7, 2002.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1da2975aa11f588873aa2aa66cba4f43eddbe014

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Citations in the corpus

Dai-Freed anomalies in particle physics (2018, background): “ are linear on the charges. This does not mean that the Z nl are all physically equivalent; they dier on the set of allowed bundles, and spectrum of stable strings. Due to the completeness principle [99,101], when coupled to gravity they must also necessarily dier in their charged spectrum. However,”
Non-invertible global symmetries and completeness of the spectrum (2021, background): “Another such feature is completeness of the spectrum—the presence of particles (or multiparticle states) transforming in every representation of the gauge group [2].”
Sharpening the weak gravity conjecture with dimensional reduction (2015, background): “It has been conjectured in the past that quantum gravity demands that there is a state in the theory corresponding to any point in the charge lattice allowed by Dirac quantization [19, 22]; perhaps an even stronger statement is true, that there is an extremal or superextremal state for every point i”
Wormholes, emergent gauge fields, and the weak gravity conjecture (2015, methodology): “ee something more; the charged eld must transform in the fundamental representation of U(1) if we are going to be able cut a fundamental Wilson line. We thus see that the principle of completeness of [21,22] comes along for free; the entire charge lattice of the theory will be occupied.18 Moreover, ”
Symmetries and Strings in Field Theory and Gravity (2010, methodology): “[1-3] and in particular [4] and the earlier reference [5]).”
The Swampland: Introduction and Review (2019, background): “uantum gravity we should not expect a U(1) gauge symmetry with no matter charged under it. This is a mild version of a more general conjecture about quantum gravity called the Completeness Conjecture [30]. Completeness Conjecture [30] A theory with a gauge symmetry, coupled to gravity, must have sta”
Anomaly equations and intersection theory (2011, background): “U(1) charges of quantum gravity theories are expected to be quantized [76, 77, 78], the anomaly equations (2.”