1997
DOI: 10.1016/s0370-2693(97)00639-4
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No cosmological D = 11 supergravity

Abstract: We show, in two complementary ways, that D=11 supergravity-in contrast to all its lower dimensional versions-forbids a cosmological extension. First, we linearize the putative model about an Anti de Sitter background and show that it cannot even support a "global" supersymmetry invariance; hence there is no Noether construction that can lead to a local supersymmetry. This is true with the usual 4−form field as well as for a "dual", 7-form, starting point. Second, a cohomology argument, starting from the origin… Show more

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Cited by 77 publications
(157 citation statements)
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“…This is in accordance with previous results in the context of massive IIA supergravity [39]. 4. We analyse in addition the deformed supergravity theory obtained by gauging a global scaling symmetry of the equations of motion.…”
Section: Contentssupporting
confidence: 90%
“…This is in accordance with previous results in the context of massive IIA supergravity [39]. 4. We analyse in addition the deformed supergravity theory obtained by gauging a global scaling symmetry of the equations of motion.…”
Section: Contentssupporting
confidence: 90%
“…However, the calculation is more subtle as the contribution from the superghost ground state has to be taken into account. Indeed, the contribution of the superghosts to the amplitude 17) and thus their ground state gives a divergent term (n = 0), which can potentially cancel the vanishing R-R ground state amplitude. In fact, it is clear from the gauge fixing condition for the light cone gauge, that there are only eight physical zero modes, and the light-cone calculation (see for example [9]) then implies that there is a non-vanishing contribution from the R-R sector for |p − p ′ | = 8.…”
Section: Discussionmentioning
confidence: 99%
“…If we consider the strong coupling limit of this theory, we might think that an eleventh dimension will open up and that we will get an eleven-dimensional theory with a cosmological constant. The low-energy theory of this theory would be eleven-dimensional supergravity with a cosmological constant, which does not exist [17]. On the other hand, the idea of matrix theory [23] is that in the strong coupling limit of type IIA string theory, everything is made out of D0-branes.…”
Section: Nd= 8-system With Relative Velocitymentioning
confidence: 99%
“…On reduction to D = 10, the potential A 10 gives A 9 which couples to the IIA 8-brane, and a 10-form A 10 which couples to the 9-brane. However, it has been shown subject to certain assumptions that there is no conventional extension of D = 11 supergravity which includes a term of the form (7.3) [59], so that any modification of the supergravity theory including the term (7.3) must be of an unusual form.…”
Section: -Branementioning
confidence: 99%