Compact supersymmetric solutions of the heterotic equations of motion in dimensions 7 and 8

DOI10.4310/ATMP.2011.v15.n2.a1zbMath1261.81091arXiv0806.4356MaRDI QIDQ695661

Stefan Ivanov, Raquel Villacampa, Luis Ugarte, Marisa Fernández

Publication date: 21 December 2012

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4356

zbMATH Keywords

\(G_2\)-manifoldsupersymmetry equationscompact nilmanifoldsEinstein equation of motionheterotic string equations

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (10)

Purely coclosed \(\mathrm{G}_2\)-structures on 2-step nilpotent Lie groups ⋮ Cocalibrated \(\mathrm G_2\)-structures on products of four- and three-dimensional Lie groups ⋮ Hermitian Yang-Mills equations and pseudo-holomorphic bundles on nearly Kähler and nearly Calabi-Yau twistor 6-manifolds ⋮ The heterotic 𝐺₂ system on contact Calabi–Yau 7-manifolds ⋮ Transversality for the moduli space of Spin(7)-instantons ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ On supersymmetric \(\mathrm{AdS}_3\) solutions of type II ⋮ Compact supersymmetric solutions of the heterotic equations of motion in dimension 5 ⋮ G₂-structures forN  =  1 supersymmetric AdS₄solutions ofM-theory ⋮ Quaternionic Heisenberg group and heterotic string solutions with non-constant dilaton in dimensions 7 and 5

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