Star product and the general Leigh-Strassler deformation
(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:
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
- 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
- 2022-12-13 22:51:25
@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}},
}