Ricci-flat Kähler manifolds from supersymmetric gauge theories

DOI10.1016/S0550-3213(01)00591-0zbMath0991.53047arXivhep-th/0108084OpenAlexW1980102698MaRDI QIDQ5954925

Kiyoshi Higashijima, Muneto Nitta, Tetsuji Kimura

Publication date: 5 February 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0108084

zbMATH Keywords

conical singularityHermitian symmetric spacecomplex line bundles

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (7)

Conductance fluctuations in disordered superconductors with broken time-reversal symmetry near two dimensions ⋮ Anomaly-free supersymmetric \(\frac{{{\text{SO}}\left( {2N + 2} \right)}}{{{\text{U}}\left( {N + 1} \right)}} \) {\(\sigma\)}-model based on the SO(2\(N\) + 1) Lie algebra of the fermion operators ⋮ Gauge theoretical construction of non-compact Calabi-Yau manifolds ⋮ Calabi-Yau manifolds of cohomogeneity one as complex line bundles ⋮ CONFORMAL SIGMA MODELS WITH ANOMALOUS DIMENSIONS AND RICCI SOLITONS ⋮ Extended supersymmetric \(\sigma \)-model based on the \(SO(2N+1)\) Lie algebra of the fermion operators ⋮ Fractional black \(p\)-branes on orbifold \(\mathbb{C}^n/ \mathbb{Z}_n\)

Cites Work

• Finiteness of Ricci flat supersymmetric nonlinear \(\sigma\)-models
• Hyperkähler metrics and supersymmetry
• Large-N Limit of N=2 Supersymmetric QN Model in Two Dimensions
• Supersymmetric Nonlinear Sigma Models as Gauge Theories
• MODULI SPACE OF GLOBAL SYMMETRY IN N=1 SUPERSYMMETRIC THEORIES AND THE QUASI-NAMBU–GOLDSTONE BOSONS
• Inhomogeneous Einstein metrics on complex line bundles
• Supersymmetric nonlinear sigma models on Ricci-flat Kähler manifolds with \(O(N)\) symmetry
• A note on conifolds
• Hyper-Kähler Calabi metrics, \(L^2\) harmonic forms, resolved M2-branes, and AdS\(_4\)/CFT\(_3\) correspondence

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