Non-local effects of multi-trace deformations in the AdS/CFT correspondence | Zendy

Ofer Aharony | Zendy; Micha Berkooz | Zendy; Boaz Katz | Zendy

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Non-local effects of multi-trace deformations in the AdS/CFT correspondence

Author(s) -

Ofer Aharony,

Micha Berkooz,

Boaz Katz

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/10/097

Subject(s) - trace (psycholinguistics) , commutator , scalar (mathematics) , string theory , physics , theoretical physics , causality (physics) , boundary (topology) , space (punctuation) , mathematics , pure mathematics , mathematical analysis , geometry , quantum mechanics , algebra over a field , computer science , philosophy , linguistics , lie conformal algebra , operating system

The AdS/CFT correspondence relates deformations of the CFT by "multi-traceoperators" to "non-local string theories". The deformed theories seem to havenon-local interactions in the compact directions of space-time; in the gravityapproximation the deformed theories involve modified boundary conditions on thefields which are explicitly non-local in the compact directions. In this notewe exhibit a particular non-local property of the resulting space-time theory.We show that in the usual backgrounds appearing in the AdS/CFT correspondence,the commutator of two bulk scalar fields at points with a large enough distancebetween them in the compact directions and a small enough time-like distancebetween them in AdS vanishes, but this is not always true in the deformedtheories. We discuss how this is consistent with causality.Comment: 24 pages, 6 figures, 2 appendices. v2: added reference

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