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Star product and the general Leigh-Strassler deformation

Bundzik, Daniel LU (2007) In Journal of High Energy Physics 0704. p.035-035
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) non-R-symmetry, with charges in a corresponding diagonal matrix, we consider two Z_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 N=4 SYM is preserved, in both beta- (one-parameter) and gamma_{i}-deformed (three-parameters) 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) non-R-symmetry, with charges in a corresponding diagonal matrix, we consider two Z_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 N=4 SYM is preserved, in both beta- (one-parameter) and gamma_{i}-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 (Less)
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author
organization
publishing date
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
1126-6708
DOI
10.1088/1126-6708/2007/04/035
language
English
LU publication?
yes
id
b03522a6-553d-4c7c-bc98-3f35cb1a6739 (old id 767956)
alternative location
http://www.iop.org/EJ/abstract/1126-6708/2007/04/035
date added to LUP
2007-12-18 15:05:31
date last changed
2017-01-01 08:19:41
@article{b03522a6-553d-4c7c-bc98-3f35cb1a6739,
  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) non-R-symmetry, with charges in a corresponding diagonal matrix, we consider two Z_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 N=4 SYM is preserved, in both beta- (one-parameter) and gamma_{i}-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},
  author       = {Bundzik, Daniel},
  issn         = {1126-6708},
  language     = {eng},
  pages        = {035--035},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {Star product and the general Leigh-Strassler deformation},
  url          = {http://dx.doi.org/10.1088/1126-6708/2007/04/035},
  volume       = {0704},
  year         = {2007},
}