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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)
Please use this url to cite or link to this publication:
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
1029-8479
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
2016-04-04 14:38:00
date last changed
2024-01-04 00:39:19
@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         = {{1029-8479}},
  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}},
  doi          = {{10.1088/1126-6708/2007/04/035}},
  volume       = {{0704}},
  year         = {{2007}},
}