T-duality and HKT manifolds
نویسندگان
چکیده
منابع مشابه
Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds
A manifold (M, I, J,K) is called hypercomplex if I, J,K are complex structures satisfying quaternionic relations. A quaternionic Hermitian hypercomplex manifold is called HKT (hyperkähler with torsion) if the (2,0)-form Ω associated with the corresponding Sp(n)-structure satisfies ∂Ω = 0. A Hermitian metric ω on a complex manifold is called balanced if d∗ω = 0. We show that balanced HKT metrics...
متن کاملTwistor spaces for HKT manifolds
We construct the twistor space associated with an HKT manifold, that is, a hyper-Kähler manifold with torsion, a type of geometry that arises as the target space geometry in two-dimensional sigma models with (4,0) supersymmetry. We show that this twistor space has a natural complex structure and is a holomorphic fibre bundle over the complex projective line with fibre the associated HKT manifol...
متن کاملPlurisubharmonic functions on hypercomplex manifolds and HKT-geometry
A hypercomplex manifold is a manifold equipped with a triple of complex structures I, J,K satisfying the quaternionic relations. We define a quaternionic analogue of plurisubharmonic functions on hypercomplex manifolds, and interpret these functions geometrically as potentials of HKT (hyperkähler with torsion) metrics, and prove a quaternionic analogue of A.D. Aleksandrov and Chern-Levine-Niren...
متن کاملQuaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
A quaternionic version of the Calabi problem on the MongeAmpère equation is introduced, namely a quaternionic MongeAmpère equation on a compact hypercomplex manifold with an HKT-metric. The equation is non-linear elliptic of second order. For a hypercomplex manifold with holonomy in SL(n,H), uniqueness (up to a constant) of a solution is proven, as well as the zero order a priori estimate. The ...
متن کاملNew Strong Hkt Manifolds Arising from Quaternionic Representations
We give a procedure for constructing an 8n-dimensional HKT Lie algebra starting from a 4n-dimensional one by using a quaternionic representation of the latter. The strong (respectively weak) condition is preserved by our construction. This allows to find new compact examples of strong HKT manifolds.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1998
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(97)01290-2