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  Locally supersymmetric D = 3 non-linear sigma models

De Wit, B., Tollsten, A. K., & Nicolai, H. (1993). Locally supersymmetric D = 3 non-linear sigma models. Nuclear Physics B, 392(1), 3-38. doi:10.1016/0550-3213(93)90195-U.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5C48-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5C49-8
Genre: Journal Article

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346888.pdf (Publisher version), 2MB
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 Creators:
De Wit, Bernard1, Author
Tollsten, A. K., Author
Nicolai, Hermann2, Author              
Affiliations:
1External Organizations, escidoc:persistent13              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N = 1 and 2 the target space of these models is riemannian or Kähler, respectively. All N > 2 theories are associated with Einstein spaces. For N = 3 the target space is quaternionic, while for N = 4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N = 5, 6, 8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N = 9, 10, 12 and 16, associated with coset spaces with the exceptional isometry groups F4(−20), E6(−14), E7(−5) and E8(+8), respectively. For N = 3 and N greater-or-equal, slanted 5 the D = 2 theories obtained by dimensional reduction are two-loop finite.

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 Dates: 1993-03-01
 Publication Status: Published in print
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 Identifiers: eDoc: 346888
DOI: 10.1016/0550-3213(93)90195-U
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Title: Nuclear Physics B
  Alternative Title : Nucl. Phys. B
Source Genre: Journal
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Pages: - Volume / Issue: 392 (1) Sequence Number: - Start / End Page: 3 - 38 Identifier: ISSN: 0550-3213