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Author Freed, Daniel S. ♦ Moore, Gregory W. ♦ Segal, Graeme
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2006-05-19
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ Mathematical Physics ♦ Mathematics - Algebraic Topology ♦ math ♦ physics:hep-th ♦ physics:math-ph
Abstract In the ordinary quantum Maxwell theory of a free electromagnetic field, formulated on a curved 3-manifold, we observe that magnetic and electric fluxes cannot be simultaneously measured. This uncertainty principle reflects torsion: fluxes modulo torsion can be simultaneously measured. We also develop the Hamilton theory of self-dual fields, noting that they are quantized by Pontrjagin self-dual cohomology theories and that the quantum Hilbert space is Z/2-graded, so typically contains both bosonic and fermionic states. Significantly, these ideas apply to the Ramond-Ramond field in string theory, showing that its K-theory class cannot be measured.
Description Reference: Commun.Math.Phys.271:247-274,2007
Educational Use Research
Learning Resource Type Article
Page Count 33


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