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

@article{Papadopoulos199520supersymmetricSM, title={(2,0)-supersymmetric sigma models and almost complex structures}, author={G. Papadopoulos}, journal={Nuclear Physics}, year={1995}, volume={448}, pages={199-219} }

Abstract We find a new class of (2,0)-supersymmeric 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… Expand

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#### References

SHOWING 1-10 OF 26 REFERENCES

Extended supersymmetric σ-models on group manifolds (II). Current algebras

- Physics
- 1988

Abstract The supersymmetries of σ-models on group manifolds are generated by currents, of which we calculate the operator product expansions. For flat spaces with N > 4 there appear more operators… Expand

Massive (p, q)-supersymmetric sigma models revisited

- Physics
- 1994

We recently obtained the conditions on the couplings of the general two-dimensional massive sigma model required by (p,q)-supersymmetry. Here we compute the Poisson bracket algebra of the… Expand

Supersymmetric sigma models and the heterotic string

- Physics
- 1985

Abstract We define the (1 + 1)-dimensional supersymmetry algebra of type ( p , q ) to be that generated by p right-handed Majorana-Weyl supercharges and q left-handed ones. We construct the… Expand

Potentials for (p, 0) and (1, 1) supersymmetric sigma models with torsion

- Physics
- 1993

Abstract Using (1, 0) superfield methods, we determine the general scalar potential consistent with off-shell ( p , 0) supersymmetry and (1, 1) supersymmetry in two-dimensional non-linear sigma… Expand

Complex structures, duality and WZW models in extended superspace

- Physics
- 1994

Abstract We find the complex structure on the dual of a complex target space. For N = (2,2) systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex… Expand

Group actions and non-linear sigma models

- Physics
- 1990

The Yang-Mills sector of the non-linear sigma models is considered in D dimensions and its symmetries are studied. It is found that a diffeomorphism ƒ of the sigma model manifold M is a symmetry… Expand

Anomalies in Two-dimensional Supersymmetric Nonlinear $\sigma$ Models

- Physics
- 1987

The anomalies of two-dimensional non-linear sigma models are analysed using the Wess-Zumino consistency conditions. In particular, the (2,0) model is discussed in both the (1,0) and (2,0) superfield… Expand

Further remarks on the geometry of two-dimensional non-linear σ-models

- Physics
- 1988

A class of extended supersymmetric two-dimensional non-linear sigma -models can be formulated in terms of constrained extended superfields. The conditions for these constraints to be linearisable are… Expand

Extended supersymmetric σ-Models on group manifolds (I). The complex structures

- Physics
- 1988

Abstract We investigate the possibilities of N-extended rigid supersymmetries in two-dimensional actions, in particular parallelized group manifolds. We give a full classification of all such… Expand

(2, 0) Supersymmetry and Space-Time Supersymmetry in the Heterotic String Theory

- Physics
- 1986

Criteria for unbroken N=1 space-time supersymmetry in the heterotic string theory in the presence of background fields are discussed. We make use of the construction of the fermion vertex operator in… Expand