8 citations · 45 across the 15 of their papers we have counts for
14 papers
D-Branes on Spaces Stratified Fibered Over Hyperbolic Orbifolds
A. A. Bytsenko, M. Chaichian, M. E. X. Guimarães
We apply the methods of homology and K-theory for branes wrapping spaces stratified fibered over hyperbolic orbifolds. In addition, we discuss the algebraic K-theory of any discret…
Generalized q-deformed Correlation Functions as Spectral Functions of Hyperbolic Geometry
L. Bonora, A. A. Bytsenko, M. E. X. Guimarães
We analyse the role of vertex operator algebra and 2d amplitudes from the point of view of the representation theory of infinite dimensional Lie algebras, MacMahon and Ruelle funct…
Topological Vertex, String Amplitudes and Spectral Functions of Hyperbolic Geometry
M. E. X. Guimaraes, R. M. Luna, T. O. Rosa
We discuss the homological aspects of the connection between quantum string generating function and the formal power series associated to the dimensions of chains and homologies of…
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…