1995
DOI: 10.1016/0550-3213(95)00266-u
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(2,0)-supersymmetric sigma models and almost complex structures

Abstract: 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 m… Show more

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Cited by 6 publications
(9 citation statements)
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“…As a consistency check, notice that eqs. (32) are compatible with the ones obtained directly from (26) by assuming that the J is covariantly constant.…”
Section: T-duality and Non-local Extended Supersymmetrysupporting
confidence: 77%
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“…As a consistency check, notice that eqs. (32) are compatible with the ones obtained directly from (26) by assuming that the J is covariantly constant.…”
Section: T-duality and Non-local Extended Supersymmetrysupporting
confidence: 77%
“…Out of the six complex structures (three in each chiral sector), only two in the left-moving sector are θ-dependent. Now, it can be verified that the transformations of the complex structures, as given by (26), are consistent with the well-known interpretation of duality as the automorphism T 3 → −T 3 , acting on the left-moving sector of the worldsheet theory. On the other hand, a duality with respect to the vector or the axial current leads to the SU(2)/U(1)×U (1) 2 model in which part of the supersymmetry is non-locally realized [28,5].…”
Section: T-duality and Non-local Extended Supersymmetrysupporting
confidence: 74%
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“…The class of G 1 manifolds can be viewed as a direct sum of Hermitian and Nearly Kähler manifolds and is characterized by the requirement that the Nijenhuis tensor should be a 3-form. These manifolds are of particular interest in physics since they arise as a target spaces of (2,0)-and (2,2)-supersymmetric sigma models [33]. The physical applications also require the existence of a linear connection ∇ preserving the almost hermitian structure (g, J) and having a totally skew-symmetric torsion.…”
Section: Introduction and Statement Of The Resultsmentioning
confidence: 99%
“…Next the commutator of extended supersymmetry transformation generated by Q 1 ⋆ Under certain conditions, the integrability of the complex structure can be lifted; see [27,28,29,22].…”
Section: Su(1 1|1) Invariant Modelsmentioning
confidence: 99%