One Loop Effects in Various Dimensions and D-Branes

Abstract

We calculate some one loop corrections to the effective action of theories in $d$ dimensions that arise on the dimensional reduction of a Weyl fermion in $D$ dimensions. The terms that we are interested in are of a topological nature. Special attention is given to the effective actions of the super Yang Mills theories that arise on dimensional reduction of the N=1 theory in six dimensions or on the dimensional reduction of the N=1 theory in ten dimensions. In the latter case we suggest an interpretation of the quantum effect as a coupling of the gauge field on the brane to a relative background gauge field.

18 pages, LaTeX

References in corpus (7)

• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• Special Quantum Field Theories In Eight And Other Dimensions
• Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
• Instantons, Three-Dimensional Gauge Theory, and the Atiyah-Hitchin Manifold
• Higher Dimensional Analogues of Donaldson-Witten Theory
• Euclidean D-branes and higher-dimensional gauge theory

Cited by in corpus (5)

• Magnetic Interactions of D-branes and Wess-Zumino Terms in Super Yang-Mills Effective Actions
• The Self-Dual String and Anomalies in the M5-brane
• Hypermultiplet dependence of one-loop effective action in the $\mathcal{N}=2$ superconformal theories
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• Anomalous Interactions of Five Dimensional USp(2k) Gauge Theory