Star product and the general Leigh-Strassler deformation

• 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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NATURVETENSKAP  -- Fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences (hsv//eng)

NATURVETENSKAP  -- Fysik -- Subatomär fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Subatomic Physics (hsv//eng)

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