Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-14
JHEP 0606:055,2006
Physics
High Energy Physics
High Energy Physics - Theory
47 pages, 41 figures
Scientific paper
10.1088/1126-6708/2006/06/055
The gauge theory on a set of D3-branes at a toric Calabi-Yau singularity can be encoded in a tiling of the 2-torus denoted dimer diagram (or brane tiling). We use these techniques to describe the effect on the gauge theory of geometric operations partially smoothing the singularity at which D3-branes sit, namely partial resolutions and complex deformations. More specifically, we describe the effect of arbitrary partial resolutions, including those which split the original singularity into two separated. The gauge theory correspondingly splits into two sectors (associated to branes in either singularity) decoupled at the level of massless states. We also describe the effect of complex deformations, associated to geometric transitions triggered by the presence of fractional branes with confinement in their infrared. We provide tools to easily obtain the remaining gauge theory after such partial confinement.
García-Etxebarria Iñaki
Saad Fouad
Uranga Angel M. .
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