Two-dimensional supersymmetric sigma-models on Ricci-flat Kähler manifolds are not finite

1986 ◽  
Vol 277 ◽  
pp. 388-408 ◽  
Author(s):  
M.T. Grisaru ◽  
A.E.M. Van De Ven ◽  
D. Zanon
Keyword(s):  
Sigma Models ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Two Dimensional ◽  
Ricci Flat

scholarly journals PSEUDODUALITY AND COMPLEX GEOMETRY IN SIGMA MODELS

2013 ◽  
Vol 10 (07) ◽  
pp. 1350034
Author(s):  
MUSTAFA SARISAMAN
Keyword(s):  
Sigma Models ◽  
Complex Geometry ◽  
Kähler Manifolds ◽  
Target Space ◽  
Kahler Manifolds ◽  
Two Dimensional ◽  
Additional Constraints

We study the pseudoduality transformations in two-dimensional N = (2, 2) sigma models on Kähler manifolds. We show that structures on the target space can be transformed into the pseudodual manifolds by means of (anti)holomorphic preserving mapping. This map requires that torsions related to individual spaces and riemann connection on pseudodual manifold must vanish. We also consider holomorphic isometries which puts additional constraints on the pseudoduality.

scholarly journals Supersymmetric nonlinear sigma models on Ricci-flat Kähler manifolds with O(N) symmetry

2001 ◽  
Vol 515 (3-4) ◽  
pp. 421-425 ◽  
Author(s):  
Kiyoshi Higashijima ◽  
Tetsuji Kimura ◽  
Muneto Nitta
Keyword(s):  
Sigma Models ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Ricci Flat ◽  
Nonlinear Sigma Models

scholarly journals BIHARMONIC LAGRANGIAN SUBMANIFOLDS IN KÄHLER MANIFOLDS

2013 ◽  
Vol 55 (2) ◽  
pp. 465-480 ◽  
Author(s):  
SHUN MAETA ◽  
HAJIME URAKAWA
Keyword(s):  
Complex Space ◽  
Lagrangian Submanifolds ◽  
Sufficient Conditions ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Two Dimensional ◽  
Space Forms ◽  
Lagrangian Surfaces ◽  
Necessary And Sufficient ◽  
Complex Space Forms

AbstractWe give the necessary and sufficient conditions for Lagrangian submanifolds in Kähler manifolds to be biharmonic. We classify biharmonic PNMC Lagrangian H-umbilical submanifolds in the complex space forms. Furthermore, we classify biharmonic PNMC Lagrangian surfaces in the two-dimensional complex space forms.

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