Results 1 to 10 of about 45 (42)
Dirac operator spectrum on a nilmanifold
Nuclear Physics B, 2022 We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold M3, and its complete dependence on the metric moduli.
Aldo Deandrea +2 more
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Laplacian spectrum on a nilmanifold, truncations and effective theories
Journal of High Energy Physics, 2018 Motivated by low energy effective theories arising from compactification on curved manifolds, we determine the complete spectrum of the Laplacian operator on the three-dimensional Heisenberg nilmanifold.
David Andriot, Dimitrios Tsimpis
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Gauge-Higgs models from nilmanifolds
Physics Letters B, 2022 We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to
Aldo Deandrea +2 more
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On the Real Homotopy Type of Generalized Complex Nilmanifolds
Mathematics, 2020 We prove that for any n≥4, there are infinitely many real homotopy types of 2n-dimensional nilmanifolds admitting generalized complex structures of every type k, for 0≤k≤n.
Adela Latorre +2 more
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Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Yamada Takumi
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Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
European Physical Journal C: Particles and Fields, 2023 We investigate whether quasinormal modes (QNMs) can be used in the search for signatures of extra dimensions. To address a gap in the Beyond the Standard Model (BSM) literature, we focus here on higher dimensions characterised by negative Ricci curvature.
Anna Chrysostomou +4 more
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Special holonomy manifolds, domain walls, intersecting branes and T-folds
Journal of High Energy Physics, 2020 We discuss the special holonomy metrics of Gibbons, Lu, Pope and Stelle, which were constructed as nilmanifold bundles over a line by uplifting supersymmetric domain wall solutions of supergravity to 11 dimensions.
N. Chaemjumrus, C.M. Hull
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Affine Anosov Diffeomorphims of Affine Manifolds
International Journal of Mathematics and Mathematical Sciences, 2008 We show that a compact affine manifold endowed with an affine Anosov transformation is finitely covered by a complete affine nilmanifold. This is a partial answer of a conjecture of Franks for affine manifolds.
Aristide Tsemo
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Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
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Coincidence theory for spaces which fiber over a nilmanifold
Fixed Point Theory and Applications, 2004 Let Y be a finite connected complex and p:Y→N a fibration over a compact nilmanifold N. For any finite complex X and maps f,g:X→Y, we show that the Nielsen coincidence number N(f,g) vanishes if the Reidemeister coincidence number R(pf,pg) is ...
Peter Wong
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