Antisymmetric tensor fields on spheres: Functional determinants and non-local counterterms
From MaRDI portal
Publication:5284779
DOI10.1063/1.531558zbMath0863.58071arXivhep-th/9602113OpenAlexW1980601527MaRDI QIDQ5284779
Dmitri V. Vassilevich, Emilio Elizalde, Magne Lygren
Publication date: 12 June 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9602113
Supergravity (83E50) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Determinants and determinant bundles, analytic torsion (58J52)
Related Items
Conformal a-anomaly of some non-unitary 6d superconformal theories, The heat kernel on \(\text{AdS}_3\) and its applications, Aspects of higher-abelian gauge theories at zero and finite temperature: topological Casimir effect, duality and Polyakov loops, A note on the sphere free energy of p -form gauge theory and Hodge duality, Heat kernel expansion: user's manual, Interface contributions to topological entanglement in abelian Chern-Simons theory, The four-dimensional Yang-Mills partition function in the vicinity of the vacuum, Universality and exactness of Schrödinger geometries in string and M-theory, \(p\)-forms on \(d\)-spherical tessellations, Dirac operator on a disk with global boundary conditions, Duality symmetry of the \(p\)-form effective action and supertrace of the twisted de Rham complex
Cites Work
- On the spectra of Laplace operator on \(\Lambda^*(S^n)\)
- Zeta function determinant of the Laplace operator on the \(D\)-dimensional ball
- Symmetric-tensor eigenspectrum of the Laplacian on n-spheres
- The Spectra of the Laplace-Beltrami Operator on Compact, Semisimple Lie Groups
- The vacuum energy density for spherical and cylindrical universes
- Analysis of an inhomogeneous generalized Epstein–Hurwitz zeta function with physical applications
- Vector fields on a disk with mixed boundary conditions
- Heat kernel coefficients of the Laplace operator on the D-dimensional ball
