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• W2671038209 abstract "I propose a self-dual deformation of the classical phase space of lattice Yang--Mills theory, in which both the electric and magnetic fluxes take value in the gauge Lie group. A local construction of the deformed phase space requires the machinery of quasi-Hamiltonian spaces by Alekseev et al., which is here reviewed. The results is a full-fledged finite-dimensional and gauge-invariant phase space, whose self-duality properties are largely enhanced in (3+1) spacetime dimensions. This enhancement is due to a correspondence with the moduli space of an auxiliary non-commutative flat connection living on a Riemann surface defined from the lattice itself, which in turn equips the duality between electric and magnetic fluxes with a neat geometrical interpretation in terms of a Heegaard splitting of the space manifold. Finally, I discuss the consequences of the proposed deformation on the quantization of the phase space, its quantum gravitational interpretation, as well as its relevance for the construction of (3+1) dimensional topological field theories with defects." @default.
• W2671038209 created "2017-06-30" @default.
• W2671038209 creator A5082979661 @default.
• W2671038209 date "2018-01-04" @default.
• W2671038209 modified "2023-09-24" @default.
• W2671038209 title "Self-dual phase space for ( 3+1 )-dimensional lattice Yang-Mills theory" @default.
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• W2671038209 doi "https://doi.org/10.1103/physrevd.97.025003" @default.
• W2671038209 hasPublicationYear "2018" @default.
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