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  Conformal fields in the pp-wave limit

Arutyunov, G., & Sokatchev, E. (2002). Conformal fields in the pp-wave limit. Journal of High Energy Physics, 2002(8): 014.

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Datensatz-Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5481-C Versions-Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5483-8
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 Urheber:
Arutyunov, Gleb1, Autor
Sokatchev, E., Autor
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Zusammenfassung: The pp-wave (Penrose limit) in a conformal field theory can be viewed as a special contraction of unitary representations of a conformal group. We study kinematics of conformal fields in the contraction limit by employing a geometric approach where the effect of the contraction can be visualized as an expansion of space-time. We discuss the two common models of space-time as carrier spaces for conformal fields: one is the usual Minkowski space and the other is a coset of the conformal group over its maximal compact subgroup. We show that only the latter manifold and the corresponding conformal representation theory admit a non-singular contraction limit. We also address a question about correlation functions of conformal fields in the pp-wave limit. We argue that finiteness of the (two-point) correlators under contraction can be achieved if their dependence on the coordinates of an R-symmetry group is kept on equal footing with their space-time dependence. This is a manifestation of the fact that in the contraction limit the space-time and R-symmetry groups become indistinguishable. Our results might find applications in actual calculations of correlation functions of composite operators in the ${cal N}=4$ super Yang-Mills theory

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Sprache(n): eng - Englisch
 Datum: 2002
 Publikationsstatus: Im Druck publiziert
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 Ort, Verlag, Ausgabe: -
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 Art der Begutachtung: -
 Identifikatoren: eDoc: 3078
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Titel: Journal of High Energy Physics
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 2002 (8) Artikelnummer: 014 Start- / Endseite: - Identifikator: -