Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings

Details Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings

2004-10-11

arxiv.org/abs/hep-th/0410122v2

Nucl.Phys. B738 (2006) 317-349

Physics

High Energy Physics

High Energy Physics - Theory

1+29 pages. v2: Various typos corrected, minor clarifications

Scientific paper

10.1016/j.nuclphysb.2006.01.018

We investigate how the marginal deformations of N=4 supersymmetric Yang-Mills theory (analysed in particular by Leigh and Strassler) arise within B-model topological string theory on supertwistor space CP(3|4). This is achieved by turning on a certain closed string background in the fermionic directions. Through a specific open/closed correlation function, this mode induces a correction to holomorphic Chern-Simons theory, corresponding to the self-dual part of the chiral operator added on the gauge theory side. The effect of the deformation is interpreted as non-anticommutativity between some of the odd coordinates of CP(3|4). Motivated by this, we extend the twistor formalism for calculating MHV amplitudes in N=4 SYM to these N=1 theories by introducing a suitable star product between the wavefunctions. We check that our prescription yields the expected results to linear order in the deformation parameter.

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