Results 41 to 50 of about 1,624,577 (208)
Corrigendum to "Chern connection of a pseudo-Finsler metric as a family of affine connections" [PDF]
, 2013 In this note, we give the correct statements of [2,Proposition 3.3 and Theorem 3.4] and a formula of the Chern curvature in terms of the curvature tensor $R^V$ of the affine connection $\nabla^V$ and the Chern tensor $P$.
M. Javaloyes
semanticscholar +1 more source
An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds
Complex Manifolds, 2022 We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
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Localization and duality for ABJM latitude Wilson loops
Journal of High Energy Physics, 2021 We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with N $$ \mathcal{N} $$ ≥ 4 supersymmetry. We derive a matrix model for the bosonic latitude Wilson loop in ABJM using supersymmetric localization, and ...
Luca Griguolo +2 more
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Invariant solutions to the Strominger system and the heterotic equations of motion
Nuclear Physics B, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal +2 more
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On a k-th Gauduchon almost Hermitian manifold
Complex Manifolds, 2022 We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold ...
Kawamura Masaya
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Estimates for a function on almost Hermitian manifolds
Complex Manifolds, 2021 We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
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Integrable E-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 We construct the actions of a very broad family of $2$d integrable $\sigma$-models. Our starting point is a universal $2$d action obtained in [arXiv:2008.01829] using the framework of Costello and Yamazaki based on $4$d Chern-Simons theory.
S. Lacroix, B. Vicedo
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Chern-Simons Origin of Superstring Integrability. [PDF]
Physical Review Letters, 2020 We derive the AdS_{5}×S^{5} Green-Schwarz superstring from four-dimensional Beltrami-Chern-Simons theory reduced on a manifold with singular boundary conditions.
K. Costello, B. Stefa'nski
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Notes on Chern–Simons perturbation theory
Reviews in Mathematical Physics, 2022 We give a detailed introduction to the classical Chern–Simons gauge theory, including the mathematical preliminaries. We then explain the perturbative quantization of gauge theories via the Batalin–Vilkovisky (BV) formalism.
K. Wernli
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On the Kähler-likeness on almost Hermitian manifolds
Complex Manifolds, 2019 We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
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