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  2-Group Representations for Spin Foams

Baratin, A., & Wise, D. K. (2009). 2-Group Representations for Spin Foams. doi:http://dx.doi.org/10.1063/1.3284396.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-611A-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-611C-B
Genre: Conference Paper

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0910.1542v1.pdf (Preprint), 136KB
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 Creators:
Baratin, Aristide1, Author              
Wise, Derek K., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models for 4d quantum topology, if not quantum gravity. Here we focus on the "Euclidean 2-group", built from the rotation group SO(4) and its action on the group of translations of 4d Euclidean space. We explain its infinite-dimensional unitary representations, and construct a model based on the resulting representation 2-category. This model, with clear geometric content and explicit "metric data" on triangulation edges, shows up naturally in an attempt to write the amplitudes of ordinary quantum field theory in a background independent way.

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 Dates: 2009
 Publication Status: Published online
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 Identifiers: DOI: http://dx.doi.org/10.1063/1.3284396
arXiv: 0910.1542
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Title: THE PLANCK SCALE: XXV Max Born Symposium
Place of Event: Wroclaw
Start-/End Date: 2009-06-29 - 2009-07-03

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Title: AIP conference proceedings
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Pages: - Volume / Issue: 1196 Sequence Number: - Start / End Page: 28 - 35 Identifier: -