9 citations · 31 across the 16 of their papers we have counts for
15 papers
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…
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…
Multipartite Generating Functions and Infinite Products for Quantum Invariants
A. A. Bytsenko, M. Chaichian
We show that multipartite generation functions can be written in terms of the Bell polynomials (known as Faà di Bruno's formula) and the Ruelle spectral functions, whose spectrum i…
Elliptic Genera and Characteristic -Series of Superconformal Field Theory
L. Bonora, A. A. Bytsenko, M. Chaichian
We analyze the characteristic series, the series and the series associated with the Witten genus, and their analytic forms as the -analogs of classical special functions (i…
Stratified Fiber Bundles, Quinn Homology and Brane Stability of Hyperbolic Orbifolds
Andrey A. Bytsenko, Richard J. Szabo, Anca Tureanu
We revisit the problem of stability of string vacua involving hyperbolic orbifolds using methods from homotopy theory and K-homology. We propose a definition of Type II string theo…
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…