Traces on orbifolds: Anomalies and one-loop amplitudes
arXiv:hep-th/0305139 · doi:10.1088/1126-6708/2003/07/011
Abstract
In the recent literature one can find calculations of various one--loop amplitudes, like anomalies, tadpoles and vacuum energies, on specific types of orbifolds, like S^1/Z_2. This work aims to give a general description of such one--loop computations for a large class of orbifold models. In order to achieve a high degree of generality, we formulate these calculations as evaluations of traces of operators over orbifold Hilbert spaces. We find that in general the result is expressed as a sum of traces over hyper surfaces with local projections, and the derivatives perpendicular to these hyper surfaces are rescaled. These local projectors naturally takes into account possible non--periodic boundary conditions. As the examples T^6/Z_4 and T^4/D_4 illustrate, the methods can be applied to non--prime as well as non--Abelian orbifolds.
28 pages, LaTeX, no figures, more details are given concerning Wilson lines
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- Heterotic orbifold resolutions as (2,0) gauged linear sigma models
- Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds
- Anomalies and Fayet-Iliopoulos terms on warped orbifolds and large hierarchies
- Anomalies on Six Dimensional Orbifolds
- Localization of heterotic anomalies on various hyper surfaces of T^6/Z_4
- Gauged D=7 Supergravity on the S**1/Z_2 Orbifold
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