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Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity

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arxiv 1910.06821 v2 pith:ZKFGP2KL submitted 2019-10-15 gr-qc

classification gr-qc
keywords gravityloopquantumgraphicalcalculationsintroductionrecouplingtheory
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We present a pedagogical introduction to SU(2) recoupling theory, focusing on those aspects of the topic which are useful for practical calculations in loop quantum gravity. In particular, we give a self-contained presentation of the powerful graphical formalism, which is an indispensable tool for performing computations in the spin network basis of loop quantum gravity. The use of the graphical techniques in loop quantum gravity is illustrated by several detailed example calculations. Plenty of exercises are included for the benefit of the ambitious student.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermal $n$-Point Conformal Blocks in Four Dimensions from Oscillator Representations

    hep-th 2025-07 conditional novelty 6.0 of 10

    New analytic formulas for four-dimensional thermal n-point conformal blocks are derived from oscillator representations, with a correct low-temperature limit to vacuum comb-channel blocks.

  2. Les Houches lectures on Spinfoam Path Integrals

    gr-qc 2026-07 accept novelty 2.0 of 10

    A pedagogical review of spinfoam path integrals, from 1d quantum mechanics and 2d BF theory through Ponzano-Regge/Turaev-Viro to the 4d EPRL model, accurate but with no new results.

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