Zobrazeno 1 - 10
of 230
pro vyhledávání: '"Williams, F. L."'
We study a Lie algebra of formal vector fields $W_n$ with its application to the perturbative deformed holomorphic symplectic structure in the A-model, and a Calabi-Yau manifold with boundaries in the B-model. A relevant concept in the vertex operato
Externí odkaz:
http://arxiv.org/abs/1306.0373
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 the Patterson-Selberg zeta function.
Comment: 9 pages, no figures,
Comment: 9 pages, no figures,
Externí odkaz:
http://arxiv.org/abs/hep-th/0609102
We give a brief introduction to the Berline-Vergne localization formula for the finite-dimensional setting and indicate how the Duistermaat-Heckman formula is derived from it. We consider applications of the localization formula when it is specialize
Externí odkaz:
http://arxiv.org/abs/math/0502190
Autor:
Williams, F. L., Kevrekidis, P. G., Christodoulakis, T., Helias, C., Papadopoulos, G. O., Grammenos, Th.
Publikováno v:
Trends in General Relativity and Quantum Cosmology, Ch.V.Benton (ed.), 2006, Nova Science Publ., p. 37
In this communication, we analyze the case of 3+1 dimensional scalar field cosmologies in the presence, as well as in the absence of spatial curvature, in isotropic, as well as in anisotropic settings. Our results extend those of Hawkins and Lidsey [
Externí odkaz:
http://arxiv.org/abs/gr-qc/0408056
Publikováno v:
Int.J.Mod.Phys. A18 (2003) 2041-2050
We study gauge theories based on abelian $p-$ forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.
Comment: Int. Journ. Modern Physics
Comment: Int. Journ. Modern Physics
Externí odkaz:
http://arxiv.org/abs/hep-th/0305037
We demonstrate a systematic implementation of coupling between a scalar field and the geometry of the space (curve, surface, etc.) which carries the field. This naturally gives rise to a feedback mechanism between the field and the geometry. We devel
Externí odkaz:
http://arxiv.org/abs/nlin/0302024
Autor:
Bytsenko, A. A., Williams, F. L.
We present a brief introduction to the Berline-Vergne localization formula which expresses the integral of an equivariant cohomology class as a sum over zeros of a vector field to which that class is related.
Comment: AMSTeX file, 14 pages; pape
Comment: AMSTeX file, 14 pages; pape
Externí odkaz:
http://arxiv.org/abs/hep-th/0009238
Publikováno v:
Mod.Phys.Lett. A15 (2000) 1031-1036
The Chern-Simons invariants of irreducible U(n)- flat connections on compact hyperbolic 3-manifolds of the form {\Gamma}\H^3 are derived. The explicit formula for the Chern-Simons functional is given in terms of Selberg type zeta functions related to
Externí odkaz:
http://arxiv.org/abs/hep-th/9908037
Publikováno v:
J.Math.Phys. 40 (1999) 4119-4133
The global additive and multiplicative properties of the Laplacian on j-forms and related zeta functions are analyzed. The explicit form of zeta functions on a product of closed oriented hyperbolic manifolds \Gamma\backslash{\Bbb H}^d and of the mult
Externí odkaz:
http://arxiv.org/abs/hep-th/9901054