Supermembranes and eleven-dimensional supergravity

Bergshoeff, Eric; Sezgin, Ergin; Townsend, Paul

doi:10.1016/0370-2693(87)91272-x

Cited by 808 publications

(1,169 citation statements)

References 11 publications

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“…The solutions with l 1 = l 2 = 0 and energy given by (3.13) are the solutions of [7]. These solutions were found to be quantum mechanically very stable, with a lifetime proportional to [7] g −2 IIA (mass) 5 . The reason of this long life time is that the closed string cannot classically break due to the fact that during the evolution there is never contact between two points of the string.…”

Section: Rotation In Two Planesmentioning

confidence: 98%

“…Using the equation of motion for the induced metric, h ij = ∂ i X µ ∂ j X ν η µν the action (2.4) reads 5) where the Poisson bracket is defined as usual as 6) for any two differentiable functions f, g on the two dimensional manifold. In terms of the X µ fields, the constraints for the induced metric (2.3) that must be imposed to the solutions are…”

Section: General Rotating Ansatzmentioning

confidence: 99%

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Nonperturbative states in type II superstring theory from classical spinning membranes

2005

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We find a new family of exact solutions in membrane theory, representing toroidal membranes spinning in several planes. They have energy square proportional to the sum of the different angular momenta, generalizing Regge-type string solutions to membrane theory. By compactifying the eleven dimensional theory on a circle and on a torus, we identify a family of new non-perturbative states of type IIA and type IIB superstring theory (which contains the perturbative spinning string solutions of type II string theory as a particular case). The solution represents a spinning bound state of D branes and fundamental strings. Then we find similar solutions for membranes on AdS 7 × S 4 and AdS 4 × S 7 . We also consider the analogous solutions in SU(N) matrix theory, and compute the energy. They can be interpreted as rotating open strings with D0 branes attached to their endpoints.

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Section: Rotation In Two Planesmentioning

confidence: 98%

Section: General Rotating Ansatzmentioning

confidence: 99%

Nonperturbative states in type II superstring theory from classical spinning membranes

2005

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“…The U(N) regularization of the 11D supermembrane [3] was introduced in [4][5][6]. The resulting action is the so-called (1 + 0) SYM theory.…”

Section: Introductionmentioning

confidence: 99%

Spectral properties in supersymmetric matrix models

Boulton¹,

Moral²,

Restuccia³

2012

Nuclear Physics B

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We formulate a general sufficiency criterion for discreteness of the spectrum of both supersymmmetric and non-supersymmetric theories with a fermionic contribution. This criterion allows an analysis of Hamiltonians in complete form rather than just their semiclassical limits. In such a framework we examine spectral properties of various (1 + 0) matrix models. We consider the BMN model of M-theory compactified on a maximally supersymmetric pp-wave background, different regularizations of the supermembrane with central charges and a non-supersymmetric model comprising a bound state of N D2 with m D0. While the first two examples have a purely discrete spectrum, the latter has a continuous spectrum with a lower end given in terms of the monopole charge. Crown

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“…Thus each amplitude is weighted by a factor of g −χ s . Despite the well known connection between membranes, fundamental strings and D-branes [2][3][4][5] 3 , the M-theory origin of the string world sheet Euler character coupling to the dilaton has been regarded as something of a puzzle. To appreciate why the M-theory interpretation for this coupling has so far remained mysterious, let us make a few observations that will be important in understanding the M-theory origin of this term.…”

Section: Introductionmentioning

confidence: 99%

M-theory and the string genus expansion

Berman¹,

Perry²

2006

Physics Letters B

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The partition function of the membrane is investigated. In particular, the case relevant to perturbative string theory of a membrane with topology S 1 × Σ is examined. The coupling between the string world sheet Euler character and the dilaton is shown to arise from a careful treatment of the membrane partition function measure. This demonstrates that the M-theory origin of the dilaton coupling to the string world sheet is quantum in nature.

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Supermembranes and eleven-dimensional supergravity

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Cited by 808 publications

References 11 publications

Nonperturbative states in type II superstring theory from classical spinning membranes

Nonperturbative states in type II superstring theory from classical spinning membranes

Spectral properties in supersymmetric matrix models

M-theory and the string genus expansion

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