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Star product and th...
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Bundzik, DanielLund University,Lunds universitet,Malmö högskola,Teknik och samhälle (TS),Department of Theoretical Physics, Lund University, Sölvegatan 14A, S-223 62, Sweden,Teoretisk partikelfysik - Geonomgår omorganisation,Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation,Naturvetenskapliga fakulteten,Theoretical Particle Physics - Undergoing reorganization,Department of Astronomy and Theoretical Physics - Undergoing reorganization,Faculty of Science
(author)
Star product and the general Leigh-Strassler deformation
- Article/chapterEnglish2007
Publisher, publication year, extent ...
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2007-04-10
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SISSA,2007
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printrdacarrier
Numbers
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LIBRIS-ID:oai:DiVA.org:mau-2721
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https://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-2721URI
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https://doi.org/10.1088/1126-6708/2007/04/035DOI
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https://lup.lub.lu.se/record/767956URI
Supplementary language notes
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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We extend the definition of the star product introduced by Lunin and Maldacena to study marginal deformations of = 4 SYM. The essential difference from the latter is that instead of considering U(1) × U(1) non-R-symmetry, with charges in a corresponding diagonal matrix, we consider two 3-symmetries followed by an SU(3) transformation, with resulting off-diagonal elements. From this procedure we obtain a more general Leigh–Strassler deformation, including cubic terms with the same index, for specific values of the coupling constants. We argue that the conformal property of = 4 SYM is preserved, in both β- (one-parameter) and γi-deformed (three-parameters) theories, since the deformation for each amplitude can be extracted in a prefactor. We also conclude that the obtained amplitudes should follow the iterative structure of MHV amplitudes found by Bern, Dixon and Smirnov.
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Malmö högskolaTeknik och samhälle (TS)
(creator_code:org_t)
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In:Journal of High Energy Physics (JHEP): SISSA:041126-67081029-8479
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