18 citations · 84 across the 23 of their papers we have counts for
23 papers
Repulsive Casimir force in stationary axisymmetric spacetimes
V. D. Coronell, A. E. Gonçalves, M. C. Baldiotti +1
We study the influence of stationary axisymmetric spacetimes on Casimir energy. We consider a massive scalar field and analyze its dependence on the apparatus orientation with resp…
Partition functions for supersymmetric gauge theories on spheres
A. A. Bytsenko, M. Chaichian, A. E. Gonçalves
In this paper we briefly review the main idea of the localization technique and its extension suitable in supersymmetric gauge field theory. We analyze the partition function of th…
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…
The Duistermaat-Heckman formula with application to circle actions and Poincaré -polynomials in twisted equivariant K-theory
A. A. Bytsenko, M. Chaichian, A. E. Gonçalves
In this paper we deduce the sketch of proof of the Duistermaat-Heckman formula and investigate how the known Duistermaat-Heckman result could be specialized to the symplectic struc…
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…
Chern-Simons Invariants on Hyperbolic Manifolds and Topological Quantum Field Theories
Loriano Bonora, Andrey A. Bytsenko, Antonio E. Goncalves
We derive formulas for the classical Chern-Simons invariant of irreducible -flat connections on negatively curved locally symmetric three-manifolds. We determine the conditi…