12 citations · 44 across the 7 of their papers we have counts for
7 papers
Hilbert schemes, Verma modules and spectral functions of hyperbolic geometry with application to quantum invariants
A. A. Bytsenko, M. Chaichian, A. E. Gonçalves
In this article we exploit Ruelle-type spectral functions and analyze the Verma module over Virasoro algebra, boson-fermion correspondence, the analytic torsion, the Chern-Simons a…
Expository Remarks on Three-Dimensional Gravity and Hyperbolic Invariants
A. A. Bytsenko, M. E. X. Guimaraes
We consider complex invariants associated with compact real three-dimensional hyperbolic spaces. The contribution of the Chern-Simons invariants of irreducible U(n)-flat connection…
Estimates of the gluon concentrations in the confining SU(3)-Yang-Mills field for the first three states of charmonium
Yu. P. Goncharov, A. A. Bytsenko
The estimates of the gluon concentrations in the classical SU(3)-Yang-Mills field modelling confinement are given for the first three states of charmonium whose spectrum is tuned b…
Formation of Wakes by Chiral, Conducting Cosmic Strings
M. C. B. Abdalla, A. A. Bytsenko, M. E. X. Guimaraes
Chiral cosmic strings are naturally produced at the end of D-term inflation and they present very interesting cosmological consequences. In this work, we investigate the formation…
Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces
A. A. Bytsenko, F. L. Williams
We consider the heat kernel (and the zeta function) associated with Laplace type operators acting on a general irreducible rank 1 locally symmetric space X. The set of Minakshisund…
One-loop vacuum amplitude for D-branes in constant electromagnetic field
A. A. Bytsenko, S. D. Odintsov, L. N. Granda
Following Polchinski's approach we calculate the one-loop vacuum amplitude for two parallel D-branes connected by open bosonic (neutral or charged)string in a constant uniform elec…