Off-shell WZW models in extended superspace

Roček, Martin; Schoutens, Kareljan; Sevrin, Alexander

doi:10.1016/0370-2693(91)90057-w

Cited by 130 publications

(200 citation statements)

References 19 publications

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“…A superfield formulation has also been constructed for some (2,2)-supersymmetric sigma models with on-shell supersymmetry and target spaces complex manifolds [5]. We have shown that there are off-shell (2,0)-supersymmetric sigma models with target spaces almost complex manifolds.…”

Section: Discussionmentioning

confidence: 93%

(2,0)-supersymmetric sigma models and almost complex structures

Papadopoulos

1995

Nuclear Physics B

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We find a new class of (2,0)-supersymmetric two-dimensional sigma models with torsion and target spaces almost complex manifolds extending similar results for models with (2,2) supersymmetry. These models are invariant under a new symmetry which is generated by a Noether charge of Lorentz weight one and it is associated to the Nijenhuis tensor of the almost complex structure of the sigma model target manifold. We compute the Poisson bracket algebra of charges of the above (2,0)-and (2,2)-supersymmetric sigma models and show that it closes but it is not isomorphic to the standard (2,0) and (2,2) supersymmetry algebra, respectively. Examples of such (2,0)-and (2,2)-supersymmetric sigma models with target spaces group manifolds are also given. In addition, we study the quantisation of the (2,0)-supersymmetric sigma models, compute the anomalies of their classical symmetries and examine their cancellation. Furthermore, we examine the massive extension of (2,0)-supersymmetric sigma models with target spaces almost complex manifolds, and study the topological twist of the new supersymmetry algebras.

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Section: Discussionmentioning

confidence: 93%

(2,0)-supersymmetric sigma models and almost complex structures

Papadopoulos

1995

Nuclear Physics B

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“…In fact, in [5] it was shown that only on SU(2) × U(1) a choice for j andj can be made such that [J,J] = 0. There a description in terms of a chiral and a twisted chiral field is possible.…”

Section: Examplesmentioning

confidence: 99%

“…Having an extended superspace description of these models yields various simplifications and applications. The geometry becomes transparant and duality transformations can be performed which keep the extended supersymmetry manifest [5,6].…”

Section: Introductionmentioning

confidence: 99%

Off-shell formulation of N = 2 non-linear σ-models

Sevrin

Troost

1997

Nuclear Physics B

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We study d = 2, N = (2, 2) non-linear σ-models in (2, 2) superspace. By analyzing the most general constraints on a superfield, we show that through an appropriate choice of coordinates, there are no other superfields than chiral, twisted chiral and semi-chiral ones. We study the resulting σ-models and we speculate on the possibility that all (2, 2) non-linear σ-models can be described using these fields. We apply the results to two examples: the SU (2) × U (1) and the SU (2) × SU (2) WZW model. Pending upon the choice of complex structures, the former can be described in terms of either one semi-chiral multiplet or a chiral and a twisted chiral multiplet. The latter is formulated in terms of one semi-chiral and one twisted chiral multiplet. For both cases we obtain the potential explicitely.

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“…In [10], N = (4, 4) superextensions of other groupmanifold WZNW models were constructed, and the exhaustive list of group manifolds for which such extensions exist was given (they are those admitting a quaternionic structure). Superfield formulations of N = (4, 4) models were given in N = (2, 2) superspace [8], in ordinary N = (4, 4) superspace [11,12], in the projective superspace [13,14] and in the N = (4, 4), SU(2) × SU(2) bi-harmonic superspace [15] - [18]. The N = (4, 4) superfield formulations are most appropriate, as they make manifest and off-shell the full amount of the underlying supersymmetry.…”

Section: Introductionmentioning

confidence: 99%

Diversity of off-shell twisted(4,4)multiplets inSU(2)×SU(2)harm

Ivanov¹,

Sutulin²

2004

Phys. Rev. D

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We elaborate on four different types of twisted N = (4, 4) supermultiplets in the SU (2) × SU (2), 2D harmonic superspace. In the conventional N = (4, 4), 2D superspace they are described by the superfieldsq i a ,q i a ,q i a ,q i a subjected to proper differential constraints, (i, i, a, a) being the doublet indices of four groups SU (2) which form the full R-symmetry group SO(4) L × SO(4) R of N = (4, 4) supersymmetry. We construct the torsionful off-shell sigma model actions for each type of these multiplets, as well as the corresponding invariant mass terms, in an analytic subspace of the SU (2) × SU (2) harmonic superspace. As an instructive example, N = (4, 4) superconformal extension of the SU (2) × U (1) WZNW sigma model action and its massive deformation are presented for the multipletq i a . We prove that N = (4, 4) supersymmetry requires the general sigma model action of pair of different multiplets to split into a sum of sigma model actions of each multiplet. This phenomenon also persists if a larger number of non-equivalent multiplets are simultaneously included. We show that different multiplets may interact with each other only through mixed mass terms which can be set up for multiplets belonging to "self-dual" pairs (q i a ,q i a ) and (q i a ,q i a ) . The multiplets from different pairs cannot interact at all. For a "self-dual" pair of the twisted multiplets we give the most general form of the on-shell scalar potential.

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Off-shell WZW models in extended superspace

Cited by 130 publications

References 19 publications

(2,0)-supersymmetric sigma models and almost complex structures

(2,0)-supersymmetric sigma models and almost complex structures

Off-shell formulation of N = 2 non-linear σ-models

Diversity of off-shell twisted(4,4)multiplets inSU(2)×SU(2)harm

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