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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 ...

  • 2007-04-10
  • SISSA,2007
  • printrdacarrier

Numbers

  • LIBRIS-ID:oai:DiVA.org:mau-2721
  • https://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-2721URI
  • https://doi.org/10.1088/1126-6708/2007/04/035DOI
  • https://lup.lub.lu.se/record/767956URI

Supplementary language notes

  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

Notes

  • 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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Bundzik, Daniel
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NATURAL SCIENCES
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