(8,0) Locally supersymmetric sigma models with conformal invariance in two dimensions

Bergshoeff, Eric; Sezgin, Ergin

doi:10.1016/0370-2693(87)90274-7

Cited by 13 publications

(14 citation statements)

References 28 publications

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“…For both the N = 2 and the N = 4 constructions the radius of the scalar manifold is proportional to g-~/2, which is a free parameter in the theory. There are also parallels with the construction of a (8, 0) locally supersymmetric o-model which was presented very recently in [13]. This construction is based on a 64 + 64 component supergravity multiplet which is similar to the 8 + 8 and 4 + 4 extended supergravity multiplets for N = 4, 2.…”

Section: Discussionmentioning

confidence: 99%

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Structure of d = 2 conformal supergravity and covariant actions for strings

Schoutens¹

1987

Nuclear Physics B

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Link to publicationCitation for published version (APA): Schoutens, K. (1987). Structure of d=2 conformal supergravity and covariant actions for strings. Nuclear Physics B, 292, 150-180. DOI: 10.1016/0550-3213(87)90640-7 General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. We present a systematic way to construct theories for d = 2 conformal supergravity with N = 0, 1, 2 or 4 as gauge theories corresponding to infinite dimensional algebras. Coupling these theories to scalar matter multiplets leads to o-models in a background of conformal supergravity which provide covariant actions for various string models. The construction of N = 4 models with quaternionic geometry requires an extension of the N = 4 supergravity multiplet containing an additional sp(1) vector multiplet. We demonstrate the role played by this vector multiplet in a construction of the N = 4 quaternionic o-model with target space HP(n -1).

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Section: Discussionmentioning

confidence: 99%

“…This number coincides with the maximal number of supersymmetries of a globally supersymmetric d = 2 non-linear o-model [12]. For models with local supersymmetry this bound does not apply and it has been shown recently that it is possible to realize N = 8 or even N = 16 local supersymmetries on a d = 2 conformally invariant o-model [13].…”

Section: Introductionmentioning

confidence: 99%

Structure of d = 2 conformal supergravity and covariant actions for strings

Schoutens¹

1987

Nuclear Physics B

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“…It is conceivable that such an action exists only in particular curved spacetimes. We can mention here a model of N= 8, d= 2 conformal supergravity in which the target space curvature is related to the curvature of the world-sheet [15 ]. We should mention that Ho and Hosotani have proposed [16] a type of membrane field theory equation by following Dirac's derivation of the Dirac equation.…”

Section: Discussionmentioning

confidence: 99%

On “spinning” membrane models

Bergshoeff

Sezgin

Townsend³

1988

Physics Letters B

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Several alternative actions for a bosonic membrane have recently been proposed. We show that a linearly realized locally worldvolume-supersymmetric (spinning membrane) extension of any of these actions implies an analogous extension of the standard Dirac membrane action. We further show that a (Minkowski) spacetime Lorentz-covariant spinning membrane action (that reduces to the Dirac membrane action when all fermions vanish) cannot be constructed within the framework of the threedimensional super-Poincar6 tensor calculus.

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“…The multiplet in question is in fact known, and has appeared in the literature in different guises, for example, see [20,23,27]. It is an 8+8 component multiplet which in the current context consists of 8 physical two-dimensional chiral fermions together with 8 auxiliary boson (scalar) fields.…”

mentioning

confidence: 99%

“…It is an 8+8 component multiplet which in the current context consists of 8 physical two-dimensional chiral fermions together with 8 auxiliary boson (scalar) fields. It is straightforward to write down the action in components in a flat background, and a coupling of a similar multiplet to two-dimensional supergravity (in components) has also been constructed [20]. However, this latter model has physical bosons and chiral fermions (still 8+8 off-shell) and so cannot be taken over directly for the present purposes.…”

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confidence: 99%