The heat kernel on \(\text{AdS}_3\) and its applications
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Publication:367664
DOI10.1007/JHEP04(2010)125zbMath1272.83081arXiv0911.5085OpenAlexW3125804831MaRDI QIDQ367664
Matthias R. Gaberdiel, Justin R. David, Rajesh Gopakumar
Publication date: 16 September 2013
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.5085
Supergravity (83E50) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum field theory on curved space or space-time backgrounds (81T20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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Cites Work
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- Supersymmetry, localization and quantum entropy function
- Quantum gravity partition functions in three dimensions
- Truncated heat kernel and one-loop determinants for the BTZ geometry
- Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
- The spinor heat kernel in maximally symmetric spaces
- The Plancherel measure for \(p\)-forms in real hyperbolic spaces
- Ray-Singer torsion for a hyperbolic 3-manifold and asymptotics of Chern-Simons-Witten invariant
- On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
- Strings in AdS3 and the SL(2,R) WZW model. II: Euclidean black hole
- QUANTUM ENTROPY FUNCTION FROM AdS2/CFT1 CORRESPONDENCE
- The relationship between monopole harmonics and spin-weighted spherical harmonics
- Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)
- Spectral functions and zeta functions in hyperbolic spaces
- Antisymmetric tensor fields on spheres: Functional determinants and non-local counterterms
- Arbitrary-spin theory in the Einstein universe
- On a Theory of Particles with Half-Integral Spin
- Eigenvalues and degeneracies for n-dimensional tensor spherical harmonics
- Quantizing gravity with a cosmological constant