Index theorems on torsional geometries

DOI10.1088/1126-6708/2007/08/048zbMath1326.58012arXiv0704.2111OpenAlexW2602604072MaRDI QIDQ896350

Tetsuji Kimura

Publication date: 9 December 2015

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2111

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Anomalies in quantum field theory (81T50) Index theory and related fixed-point theorems on manifolds (58J20) Applications of global differential geometry to the sciences (53C80) Applications of PDEs on manifolds (58J90)

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Cites Work

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• Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory
• The structure of gauge and gravitational anomalies
• Gravitational anomalies and the family's index theorem
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• Almost-Hermitian geometry
• Spinors on manifolds with boundary: APS index theorems with torsion
• A no-go theorem for string warped compactifications
• Sigma-models with torsion
• Non-Kähler string backgrounds and their five torsion classes
• Loop calculations in quantum mechanical nonlinear sigma models with fermions and applications to anomalies
• Vanishing theorems and string backgrounds
• de Sitter vacua in string theory
• Flux compactification
• A note on the Atiyah-Singer index theorem
• An identity in Riemann–Cartan geometry
• A note on the Atiyah-Singer index theorem for manifolds with totally antisymmetric H torsion
• Supersymmetry and the Atiyah-Singer index theorem
• A note on the torsion dependence of D-brane RR couplings

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