Self-dual supergravity from N = 2 strings

Skenderis, Kostas

doi:10.1016/s0550-3213(97)00398-2

Cited by 8 publications

(7 citation statements)

References 48 publications

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“…Our analysis does not exclude, in principle, an existence of covariant actions for the non-selfconjugate N < 4 SDSYM and N < 8 SDSG. 9 However, in order to compensate the mismatch of 'helicities' or GL(1) ′ -charges, any covariant action should inevitably have an infinite number of Lagrange multipliers which have to compensate each other altogether. These compensating fields are apparently different from the auxiliary fields present in the harmonic superfield expansion, and they may need extra conditions (i.e.…”

Section: Discussionmentioning

confidence: 99%

An action of N = 8 self-dual supergravity in ultra-hyperbolic harmonic superspace

Karnas

Ketov

1998

Nuclear Physics B

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The N-extended self-dual supergravity in the ultra-hyperbolic four-dimensional spacetime of kleinian signature (2+2) is given in the N-extended harmonic superspace. We reformulate the on-shell N-extended self-dual supergravity constraints of Siegel to a 'zero-curvature' representation, and solve all of them but one in terms of a single superfield prepotential, by using a covariant Frobenius gauge in the Devchand-Ogievetsky approach. An off-shell superspace action, whose equation of motion yields the remaining constraint, is found. Our manifestly Lorentz-covariant action in harmonic superspace is very similar to the non-covariant Chern-Simons-type action, which was proposed earlier by Siegel in the light-cone N = 8 superspace. Our action is also invariant under the residual superdiffeomorphisms and the residual local OSp(8|2) super-Lorentz rotations, which are left after imposing the Frobenius gauge. The infinitesimal superfield parameters of the residual symmetries are expressed in terms of independent analytic superfields.

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Section: Discussionmentioning

confidence: 99%

An action of N = 8 self-dual supergravity in ultra-hyperbolic harmonic superspace

Karnas

Ketov

1998

Nuclear Physics B

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“…1 Supergravity theories in D = 2+2 dimensions have been considered by many authors in the past (for a very partial list of references see [18][19][20]). They are candidate backgrounds for the N = 2 superstring [21][22][23][24][25], and are related after dimensional reduction to integrable models in D = 2 [26][27][28]. The actions were obtained in most cases by supersymmetrizing the self-dual Einstein-Palatini action with (2, 2) signature, supersymmetry invariance being of the "base space" type, as in usual supergravity in D = 3+1.…”

Section: Jhep10(2017)062mentioning

confidence: 99%

Gauge supergravity in D = 2 + 2

Castellani

2017

J. High Energ. Phys.

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We present an action for chiral N = (1, 0) supergravity in 2 + 2 dimensions. The fields of the theory are organized into an OSp(1|4) connection supermatrix, and are given by the usual vierbein V a , spin connection ω ab , and Majorana gravitino ψ. In analogy with a construction used for D = 10 + 2 gauge supergravity, the action is given by STr(R 2 Γ), where R is the OSp(1|4) curvature supermatrix two-form, and Γ a constant supermatrix containing γ 5 . It is similar, but not identical to the MacDowell-Mansouri action for D = 2 + 2 supergravity. The constant supermatrix breaks OSp(1|4) gauge invariance to a subalgebra OSp(1|2) ⊕ Sp(2), including a Majorana-Weyl supercharge. Thus half of the OSp(1|4) gauge supersymmetry survives. The gauge fields are the selfdual part of ω ab and the Weyl projection of ψ for OSp(1|2), and the antiselfdual part of ω ab for Sp(2). Supersymmetry transformations, being part of a gauge superalgebra, close off-shell. The selfduality condition on the spin connection can be consistently imposed, and the resulting "projected" action is OSp(1|2) gauge invariant.

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“…This, in particular, allows one to avoid the extensive use of cumbersome Fierz identities in checking local symmetries of the action. Besides, the study of various heterotic theories taking a chiral half from the N = 2 string [22,21] inevitably appeals to an action of such a type. For the case at hand this yields (our notations are gathered in Appendix)…”

Section: Classical N=2 String In the Lagrangian Frameworkmentioning

confidence: 99%

Restoring Lorentz invariance in classical N=2 string

Bellucci

Galajinsky

2001

Nuclear Physics B

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We study classical N=2 string within the framework of the N=4 topological formalism by Berkovits and Vafa. Special emphasis is put on the demonstration of a classical equivalence of the theories and the construction of an action for the N=4 topological string. The SO(2, 2) Lorentz invariance missing in the conventional Brink-Schwarz action for the N = 2 string is restored in the N = 4 topological action.

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Self-dual supergravity from N = 2 strings

Cited by 8 publications

References 48 publications

An action of N = 8 self-dual supergravity in ultra-hyperbolic harmonic superspace

An action of N = 8 self-dual supergravity in ultra-hyperbolic harmonic superspace

Gauge supergravity in D = 2 + 2

Restoring Lorentz invariance in classical N=2 string

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