Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry

DOI10.1016/S0920-5632(03)90693-1zbMath1045.81522arXivhep-th/0210034OpenAlexW2075966000MaRDI QIDQ1418431

Kiyoshi Higashijima, Muneto Nitta, Tetsuji Kimura

Publication date: 11 January 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0210034

zbMATH Keywords

Hermitian symmetric spacescomplex line bundlesRicci-flat Kähler manifolds

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on curved space or space-time backgrounds (81T20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Local differential geometry of Hermitian and Kählerian structures (53B35) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Hybrid conformal field theories ⋮ Hyper-Kähler sigma models on (co)tangent bundles with \(\text{SO}(n)\) isometry ⋮ CONFORMAL SIGMA MODELS WITH ANOMALOUS DIMENSIONS AND RICCI SOLITONS

Cites Work

• Gauge theoretical construction of non-compact Calabi-Yau manifolds
• Finiteness of Ricci flat supersymmetric nonlinear \(\sigma\)-models
• Supersymmetric Nonlinear Sigma Models as Gauge Theories
• Inhomogeneous Einstein metrics on complex line bundles
• Supersymmetric nonlinear sigma models on Ricci-flat Kähler manifolds with \(O(N)\) symmetry

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