256 citations · 617 across the 58 of their papers we have counts for
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Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory
L. Bonora, A. A. Bytsenko, M. Chaichian +1
In this article we examine the Ruelle type spectral functions $\cR(s)$,which define an overall description of the content of the work. We investigate the Gopakumar-Vafa reformulati…
-Functions, Spectral Functions of Hyperbolic Geometry, and Vertex Operators with Applications to Structure for Weyl and Orthogonal Group Invariants
A. A. Bytsenko, M. Chaichian
In this paper we analyze the quantum homological invariants (the Poincaré polynomials of the link homology). In the case when the dimensions of homologies of appr…
Quantum Black Holes, Elliptic Genera and Spectral Partition Functions
A. A. Bytsenko, M. Chaichian, R. J. Szabo +1
We study M-theory and D-brane quantum partition functions for microscopic black hole ensembles within the context of the AdS/CFT correspondence in terms of highest weight represent…
Quantum Corrections to Bekenstein-Hawking Black Hole Entropy and Gravity Partition Functions
A. A. Bytsenko, A. Tureanu
Algebraic aspects of the computation of partition functions for quantum gravity and black holes in are discussed. We compute the sub-leading quantum corrections to the Beke…
BRST-Invariant Deformations of Geometric Structures in Sigma Models
A. A. Bytsenko
We study a Lie algebra of formal vector fields with its application to the perturbative deformed holomorphic symplectic structure in the A-model, and a Calabi-Yau manifold wi…
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…