scholarly journals Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections

2012 ◽  
Vol 10 (5) ◽  
pp. 1673-1687 ◽  
Author(s):  
Julien Keller ◽  
Christina W. Tønnesen-Friedman
Keyword(s):  
Kähler Metrics ◽  
Kahler Metrics ◽  
Yang Mills ◽  
Coupled Equations

scholarly journals Coupled equations for Kähler metrics and Yang–Mills connections

2013 ◽  
Vol 17 (5) ◽  
pp. 2731-2812 ◽  
Author(s):  
Luis Álvarez-Cónsul ◽  
Mario García-Fernández ◽  
Oscar García-Prada
Keyword(s):  
Kähler Metrics ◽  
Kahler Metrics ◽  
Yang Mills ◽  
Coupled Equations

NEW N=2 MATTER COUPLINGS IN SUPERSPACE

1988 ◽  
Vol 03 (03) ◽  
pp. 703-719 ◽  
Author(s):  
S.V. KETOV
Keyword(s):  
Sigma Models ◽  
Dimensional Reduction ◽  
Two Dimensional ◽  
Kähler Metrics ◽  
Kahler Metrics ◽  
Four Dimensions ◽  
Yang Mills ◽  
Quaternionic Kähler ◽  
Nonlinear Sigma Models

The generalized N=2 tensor multiplets are defined and the corresponding interacting models are constructed in N=2 superspace in four dimensions. The couplings with the N=2 Yang-Mills fields are given too. The two-dimensional nonlinear N=4 supersymmetric sigma models obtained via dimensional reduction are known to be finite. The construction gives rise to a variety of explicitly constructed quaternionic-Kähler metrics. Some two-dimensional N=4 supersymmetric sigma models with nonvanishing torsion turn out to be equivalent to the ordinary N=4 hyper-Kähler nonlinear sigma models without torsion.

scholarly journals Geometry and topology of the space of Kähler metrics on singular varieties

2018 ◽  
Vol 154 (8) ◽  
pp. 1593-1632 ◽  
Author(s):  
Eleonora Di Nezza ◽  
Vincent Guedj
Keyword(s):  
Einstein Metrics ◽  
Normal Space ◽  
Fano Varieties ◽  
Kähler Metrics ◽  
Kahler Metrics ◽  
Metric Properties ◽  
Singular Varieties ◽  
Underlying Space ◽  
And Topology ◽  
Kähler Einstein Metrics

Let $Y$ be a compact Kähler normal space and let $\unicode[STIX]{x1D6FC}\in H_{\mathit{BC}}^{1,1}(Y)$ be a Kähler class. We study metric properties of the space ${\mathcal{H}}_{\unicode[STIX]{x1D6FC}}$ of Kähler metrics in $\unicode[STIX]{x1D6FC}$ using Mabuchi geodesics. We extend several results of Calabi, Chen, and Darvas, previously established when the underlying space is smooth. As an application, we analytically characterize the existence of Kähler–Einstein metrics on $\mathbb{Q}$-Fano varieties, generalizing a result of Tian, and illustrate these concepts in the case of toric varieties.

scholarly journals Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D

2011 ◽  
Vol 29 (2) ◽  
pp. 025003 ◽  
Author(s):  
L C de Andrés ◽  
M Fernández ◽  
S Ivanov ◽  
J A Santisteban ◽  
L Ugarte ◽  
...  
Keyword(s):  
Bianchi Type ◽  
Type A ◽  
Kähler Metrics ◽  
Kahler Metrics
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