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Holographic three-point functions for short operators
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 7, 187Article in journal (Refereed) Published
Abstract [en]

We consider holographic three-point functions for operators dual to short string states at strong coupling in N=4 super Yang-Mills. We treat the states as point-like as they come in from the boundary but as strings in the interaction region in the bulk. The interaction position is determined by saddle point, which is equivalent to conservation of the canonical momentum for the interacting particles, and leads to conservation of their conformal charges. We further show that for large dimensions the rms size of the interaction region is small compared to the radius of curvature of the AdS space, but still large compared to the string Compton wave-length. Hence, one can approximate the string vertex operators as flat-space vertex operators with a definite momentum, which depends on the conformal and R-charges of the operator. We then argue that the string vertex operator dual to a primary operator is chosen by satisfying a twisted version of Q^L=Q^R, up to spurious terms. This leads to a unique choice for a scalar vertex operator with the appropriate charges at the first massive level. We then comment on some features of the corresponding three-point functions, including the application of these results to Konishi operators.

Place, publisher, year, edition, pages
Springer Science+Business Media B.V., 2012. no 7, 187
Keyword [en]
vertex operator, 3-point function, supersymmetry, particle interaction, conformal charge, anti-de Sitter space, conservation law, strong coupling, holography, twist
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-196361DOI: 10.1007/JHEP07(2012)187ISI: 000307299800064OAI: oai:DiVA.org:uu-196361DiVA: diva2:609982
Funder
Swedish Research Council, 2009-4092
Available from: 2013-03-08 Created: 2013-03-08 Last updated: 2017-12-06Bibliographically approved

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Minahan, Joseph

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