Star product and the general LeighStrassler deformation
(2007) In Journal of High Energy Physics 0704. p.035035 Abstract
 We extend the definition of the star product introduced by Lunin and Maldacena to study marginal deformations of N=4 SYM. The essential difference from the latter is that instead of considering U(1)xU(1) nonRsymmetry, with charges in a corresponding diagonal matrix, we consider two Z_3symmetries followed by an SU(3) transformation, with resulting offdiagonal elements. From this procedure we obtain a more general LeighStrassler deformation, including cubic terms with the same index, for specific values of the coupling constants. We argue that the conformal property of N=4 SYM is preserved, in both beta (oneparameter) and gamma_{i}deformed (threeparameters) theories, since the deformation for each amplitude can be extracted in a... (More)
 We extend the definition of the star product introduced by Lunin and Maldacena to study marginal deformations of N=4 SYM. The essential difference from the latter is that instead of considering U(1)xU(1) nonRsymmetry, with charges in a corresponding diagonal matrix, we consider two Z_3symmetries followed by an SU(3) transformation, with resulting offdiagonal elements. From this procedure we obtain a more general LeighStrassler deformation, including cubic terms with the same index, for specific values of the coupling constants. We argue that the conformal property of N=4 SYM is preserved, in both beta (oneparameter) and gamma_{i}deformed (threeparameters) 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 (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/767956
 author
 Bundzik, Daniel ^{LU}
 organization
 publishing date
 2007
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Journal of High Energy Physics
 volume
 0704
 pages
 035  035
 publisher
 Springer
 external identifiers

 wos:000246396400035
 scopus:34247884470
 ISSN
 10298479
 DOI
 10.1088/11266708/2007/04/035
 language
 English
 LU publication?
 yes
 id
 b03522a6553d4c7cbc983f35cb1a6739 (old id 767956)
 alternative location
 http://www.iop.org/EJ/abstract/11266708/2007/04/035
 date added to LUP
 20160404 14:38:00
 date last changed
 20201122 06:58:00
@article{b03522a6553d4c7cbc983f35cb1a6739, abstract = {We extend the definition of the star product introduced by Lunin and Maldacena to study marginal deformations of N=4 SYM. The essential difference from the latter is that instead of considering U(1)xU(1) nonRsymmetry, with charges in a corresponding diagonal matrix, we consider two Z_3symmetries followed by an SU(3) transformation, with resulting offdiagonal elements. From this procedure we obtain a more general LeighStrassler deformation, including cubic terms with the same index, for specific values of the coupling constants. We argue that the conformal property of N=4 SYM is preserved, in both beta (oneparameter) and gamma_{i}deformed (threeparameters) 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}, author = {Bundzik, Daniel}, issn = {10298479}, language = {eng}, pages = {035035}, publisher = {Springer}, series = {Journal of High Energy Physics}, title = {Star product and the general LeighStrassler deformation}, url = {http://dx.doi.org/10.1088/11266708/2007/04/035}, doi = {10.1088/11266708/2007/04/035}, volume = {0704}, year = {2007}, }