Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-07-17
Prog.Theor.Phys.122:1433-1453,2010
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 2 figures, v2: discussions of flux tubes clarified, references added, v3: minor changes, final version published in
Scientific paper
10.1143/PTP.122.1433
We propose a holographic dual of large N_c QCD with the gauge group O(N_c) and USp(N_c) and N_f flavors of massless quarks. This is constructed by adding O6-planes to an intersecting D4-D8 system in type IIA superstring theory. The holographic dual description is formulated in the Witten's D4-brane background with D8-branes and O6-planes embedded in it as probes. The D4-brane background gives rise to a smooth interpolation of D8-anti-D8 pairs and an O6-anti-O6 pair. We show that the resultant brane configuration explains geometrically the flavor symmetry breaking patterns in O(N_c) and USp(N_c) QCD that are caused by quark bilinear condensates. We next discuss that baryons can be realized as D4-anti-D4 pairs wrapped on S^4 that intersect with the O6-plane. By analyzing the tachyons on it, we reproduce the stability conditions of the baryons that are expected from the gauge theory viewpoint. The stable baryon configurations are classified systematically by using K-theory. We also give a similar analysis for the flux tubes and again reproduce the results that are consistent with QCD.
Imoto Toshiya
Sakai Tadakatsu
Sugimoto Shigeki
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