Forms on Vector Bundles Over Compact Real Hyperbolic Manifolds

DOI10.1142/S0217751X03015465zbMATH Open1037.81565arXivhep-th/0305037MaRDI QIDQ4440697

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Publication date: 2003

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: We study gauge theories based on abelian $p-$ forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.

Full work available at URL: https://arxiv.org/abs/hep-th/0305037

zbMATH Keywords

spectral functionsdifferential forms and gauge fieldstensor kernel trace formula

Mathematics Subject Classification ID

Supergravity (83E50) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Cites Work

• Triples, fluxes, and strings
• \(L^ 2\)-index and the Selberg trace formula
• Analytic torsion and closed geodesics on hyperbolic manifolds
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• The differential form spectrum of hyperbolic space
• Ray-Singer torsion for a hyperbolic 3-manifold and asymptotics of Chern-Simons-Witten invariant
• \(\mathbb{R} /\mathbb{Z}\) index theory
• On the Selberg trace formula in the case of compact quotient
• Topological Casimir energy for a general class of Clifford–Klein space–times

Related Items (5)

Cauchy-Leray forms and vector bundles ⋮ THERMODYNAMICS OF ABELIAN GAUGE FIELDS IN REAL HYPERBOLIC SPACES ⋮ Casimir effect for gauge fields in spaces with negative constant curvature ⋮ [[Publication:4296362|Title not available (Why is that?)]] ⋮ A REMARK ON THE STABLE REAL FORMS OF COMPLEX VECTOR BUNDLES OVER MANIFOLDS

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