9 papers · 1 filter
Truncated Heat Kernel and One-Loop Determinants for the BTZ Geometry
A. A. Bytsenko, M. E. X. Guimaraes
There is a special relation between the spectrum and the {\it truncated} heat kernel of the Euclidean BTZ black hole with the Patterson-Selberg zeta function. Using an orbifold des…
Partition Functions of Three-Dimensional Quantum Gravity and the Black Hole Entropy
A. A. Bytsenko, M. E. X. Guimaraes
We analyze aspects of the holographic principle relevant to the quantum gravity partition functions in Euclidean sector of AdS. The sum of the known contributions to the partit…
Spectral Functions for BTZ Black Hole Geometry
A. A. Bytsenko, M. E. X. Guimaraes, F. L. Williams
Using an orbifold description of the Euclidean BTZ black hole, we show that there is a special relation between the spectrum and the truncated heat kernel of this black hole with t…
Combinatorial Identities and Quantum State Densities of Supersymmetric Sigma Models on N-Folds
M. C. B. Abdalla, A. A. Bytsenko, M. E. X. Guimaraes
There is a remarkable connection between the number of quantum states of conformal theories and the sequence of dimensions of Lie algebras. In this paper, we explore this connectio…
Hyperbolic Space Forms and Orbifold Compactification in M-Theory
A. A. Bytsenko, M. E. X. Guimaraes, J. A. Helayel-Neto
We analyze solutions of string theory and supergravity which involve real hyperbolic spaces. Examples of string compactifications are given in terms of hyperbolic coset spaces of f…
Casimir Effect for Gauge Fields in Spaces with Negative Constant Curvature
A. A. Bytsenko, M. E. X. Guimaraes, V. S. Mendes
We consider gauge theories based on abelian forms on real compact hyperbolic spaces. Using the zeta-function regularization method and the trace tensor kernel formula, we deter…