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27 April 2024 |
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Membrane Duality Revisited | | M.J. Duff
; J.X. Lu
; R. Percacci
; C.N. Pope
; H. Samtleben
; E. Sezgin
; | | Date: |
9 Sep 2015 | | Abstract: | 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
generalised geometry renders manifest the $SL(3) imes SL(2)$ U-duality. In
the case of M2-brane in $D=4$, with and without extra target space coordinates,
we show that only the ${
m GL}(4,R)ltimes R^4$ subgroup of the expected
$SL(5,R)$ U-duality symmetry is realised. | | Source: | arXiv, 1509.2915 | | Services: | Forum | Review | PDF | Favorites | |
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