The Holographic Life of the eta'

Abstract

In the string holographic dual of large-N_c QCD with N_f flavours of Kruczenski et al, the eta' meson is massless at infinite N_c and dual to a collective fluctuation of N_f D6-brane probes in a supergravity background. Here we identify the string diagrams responsible for the generation of a mass of order N_f/N_c, consistent with the Witten-Veneziano formula, and show that the supregravity limit of these diagrams corresponds to mixings with pseudoscalar glueballs. We argue that the dependence on the theta-angle in the supergravity description occurs only through the combination theta + 2 \sqrt{N_f} eta' / f_pi, as dictated by the U(1) anomaly. We provide a quantitative test by computing the linear term in the eta' potential in two independent ways, with perfect agreement.

1+26 pages, 8 figures; V4: Appendix added, version published in JHEP

References in corpus (5)

• Towards a holographic dual of large-N_c QCD
• Chiral Dynamics From AdS Space
• Flavoring the gravity dual of N=1 Yang-Mills with probes
• Quarkonium from the Fifth Dimension
• Witten-Veneziano from Green-Schwarz

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