Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-13
JHEP 0903:041,2009
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, 13 figures. v4: Published version
Scientific paper
10.1088/1126-6708/2009/03/041
We consider the couplings induced on the world-volume field theory of D3-branes at local toric Calabi-Yau singularities by euclidean D3-brane (E3-brane) instantons wrapped on (non-compact) holomorphic 4-cycles. These instantons produce insertions of BPS baryonic or mesonic operators of the four-dimensional ${\cal{N}}=1$ quiver gauge theory. We argue that these systems underlie, via the near-horizon limit, the familiar AdS/CFT map between BPS operators and D3-branes wrapped on supersymmetric 3-cycles on the 5d horizon. The relation implies that there must exist E3-brane instantons with appropriate fermion mode spectrum and couplings, such that their non-perturbative effects on the D3-branes induce operators forming a generating set for all BPS operators of the quiver CFT. We provide a constructive argument for this correspondence, thus supporting the picture.
Forcella Davide
García-Etxebarria Iñaki
Uranga Angel
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