Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-13
JHEP 0807:068,2008
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, 2 figures, JHEP 3 style, v2: References added, final published version
Scientific paper
10.1088/1126-6708/2008/07/068
We construct the gravity dual of a field theory with flavour in which there are Fayet-Iliopoulos (FI) terms present. For this purpose we turn on a constant Kalb-Ramond B field in four internal space directions of AdS_5 x S^5 together with a D7 brane probe wrapping AdS_5 x S^3. The B field induces noncommutativity on the four internal directions of the D7 brane probe perpendicular to the AdS boundary. We argue on general grounds that the moduli space of the Higgs part of mixed Coulomb-Higgs states in the dual field theory at the boundary is described by the ADHM equations for noncommutative instantons on the four internal directions of the D7 brane probe. In particular, the global symmetries match. The FI term arises as the holographic dual of an anti-selfdual B field. We discuss possible applications for this construction.
Ammon Martin
Erdmenger Johanna
Höhne Stephan
Lust Dieter
Meyer Rene
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