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Structure constants of beta deformed super Yang-Mills

David, Justin R and Sadhukhan, Abhishake (2013) Structure constants of beta deformed super Yang-Mills. In: JOURNAL OF HIGH ENERGY PHYSICS (10).

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Official URL: http://dx.doi.org/10.1007/JHEP10(2013)206


We study the structure constants of the N = 1 beta deformed theory perturbatively and at strong coupling. We show that the planar one loop corrections to the structure constants of single trace gauge invariant operators in the scalar sector is determined by the anomalous dimension Hamiltonian. This result implies that 3 point functions of the chiral primaries of the theory do not receive corrections at one loop. We then study the structure constants at strong coupling using the Lunin-Maldacena geometry. We explicitly construct the supergravity mode dual to the chiral primary with three equal U(1) R-charges in the Lunin-Maldacena geometry. We show that the 3 point function of this supergravity mode with semi-classical states representing two other similar chiral primary states but with large U(1) charges to be independent of the beta deformation and identical to that found in the AdS(5) x S-5 geometry. This together with the one-loop result indicate that these structure constants are protected by a non-renormalization theorem. We also show that three point function of U(1) R-currents with classical massive strings is proportional to the R-charge carried by the string solution. This is in accordance with the prediction of the R-symmetry Ward identity.

Item Type: Journal Article
Publisher: SPRINGER
Additional Information: copyright for this article belongs to SPRINGER
Keywords: Supersymmetric gauge theory; Gauge-gravity correspondence; AdS-CFT Correspondence
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 28 Nov 2013 11:46
Last Modified: 28 Nov 2013 11:46
URI: http://eprints.iisc.ac.in/id/eprint/47841

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