Membrane duality revisited
Just as string T-duality originates from transforming field equations into Bianchi identities on the string worldsheet, so it has been suggested that M-theory U-dualities originate from transforming field equations into Bianchi identities on the membrane worldvolume. However, this encounters a probl...
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doaj-f4322800f0344e3995de476f9ef7dc042020-11-24T22:35:07ZengElsevierNuclear Physics B0550-32131873-15622015-12-01901C12110.1016/j.nuclphysb.2015.10.003Membrane duality revisitedM.J. Duff0J.X. Lu1R. Percacci2C.N. Pope3H. Samtleben4E. Sezgin5Theoretical Physics, Blackett Laboratory, Imperial College London, London SW7 2AZ, United KingdomInterdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026, ChinaSISSA, via Bonomea 265, Trieste, ItalyGeorge P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843-4242, USAUniversité de Lyon, Laboratoire de Physique, UMR 5672, CNRS et ENS de Lyon, 46 allée d'Italie, F-69364 Lyon Cedex 07, FranceGeorge P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843-4242, USAJust as string T-duality originates from transforming field equations into Bianchi identities on the string worldsheet, so it has been suggested that M-theory U-dualities originate from transforming field equations into Bianchi identities on the membrane worldvolume. However, this encounters a problem unless the target space has dimension D=p+1. We identify the problem to be the nonintegrability of the U-duality transformation assigned to the pull-back map. Just as a double geometry renders manifest the O(D,D) string T-duality, here we show in the case of the M2-brane in D=3 that a generalized geometry renders manifest the SL(3)×SL(2) U-duality. In the case of M2-brane in D=4, with and without extra target space coordinates, we show that only the GL(4,R)⋉R4 subgroup of the expected SL(5,R) U-duality symmetry is realized.http://www.sciencedirect.com/science/article/pii/S0550321315003478 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M.J. Duff J.X. Lu R. Percacci C.N. Pope H. Samtleben E. Sezgin |
spellingShingle |
M.J. Duff J.X. Lu R. Percacci C.N. Pope H. Samtleben E. Sezgin Membrane duality revisited Nuclear Physics B |
author_facet |
M.J. Duff J.X. Lu R. Percacci C.N. Pope H. Samtleben E. Sezgin |
author_sort |
M.J. Duff |
title |
Membrane duality revisited |
title_short |
Membrane duality revisited |
title_full |
Membrane duality revisited |
title_fullStr |
Membrane duality revisited |
title_full_unstemmed |
Membrane duality revisited |
title_sort |
membrane duality revisited |
publisher |
Elsevier |
series |
Nuclear Physics B |
issn |
0550-3213 1873-1562 |
publishDate |
2015-12-01 |
description |
Just as string T-duality originates from transforming field equations into Bianchi identities on the string worldsheet, so it has been suggested that M-theory U-dualities originate from transforming field equations into Bianchi identities on the membrane worldvolume. However, this encounters a problem unless the target space has dimension D=p+1. We identify the problem to be the nonintegrability of the U-duality transformation assigned to the pull-back map. Just as a double geometry renders manifest the O(D,D) string T-duality, here we show in the case of the M2-brane in D=3 that a generalized geometry renders manifest the SL(3)×SL(2) U-duality. In the case of M2-brane in D=4, with and without extra target space coordinates, we show that only the GL(4,R)⋉R4 subgroup of the expected SL(5,R) U-duality symmetry is realized. |
url |
http://www.sciencedirect.com/science/article/pii/S0550321315003478 |
work_keys_str_mv |
AT mjduff membranedualityrevisited AT jxlu membranedualityrevisited AT rpercacci membranedualityrevisited AT cnpope membranedualityrevisited AT hsamtleben membranedualityrevisited AT esezgin membranedualityrevisited |
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