Dirac operator spectrum on a nilmanifold

DOI10.1016/j.nuclphysb.2022.115895zbMath1500.81044arXiv2202.11437OpenAlexW4226248100MaRDI QIDQ2159791

Fabio Dogliotti, Dimitrios Tsimpis, Aldo Deandrea

Publication date: 2 August 2022

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

Full work available at URL: https://arxiv.org/abs/2202.11437

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Moduli problems for differential geometric structures (58D27) Spinor and twistor methods applied to problems in quantum theory (81R25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Compactification of analytic spaces (32J05) PDEs on manifolds (35R01) Fermionic systems in quantum theory (81V74)

Cites Work

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• The spectrum of the Laplacian on Riemannian Heisenberg manifolds
• The Dirac operator on nilmanifolds and collapsing circle bundles
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• Towards Kaluza-Klein dark matter on nilmanifolds
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• A new construction of isospectral Riemannian nilmanifolds with examples
• The marked length spectrum vs. the Laplace spectrum on forms on Riemannian nilmanifolds
• The effective theory of type IIA AdS ₄ compactifications on nilmanifolds and cosets
• Unnamed Item

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