Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-13
Nucl.Phys.B798:184-197,2008
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, no figures; v2, references added, typos corrected, minor changes, 15 pages; v3, a section on the tree-level purely g
Scientific paper
10.1016/j.nuclphysb.2008.01.027
The tree-level amplitudes in $\beta$-deformed theory are studied from twistor string theory. We first show that a simple generalization of the proposal in hep-th/0410122 gives the correct results for all of the tree-level amplitudes to the first order of the deformation parameter $\beta$. Then we give a proposal to all orders of $\beta$ and show this matches the field theory. We also show the prescription using connected instantons and the prescription using disconnected instantons are equivalent in the deformed twistor string theory. The tree-level amplitudes in non-supersymmetric $\gamma$-deformed theory are also obtained in this framework. The tree-level purely gluonic amplitudes in theories with generic marginal deformations are also discussed in the twistor string theory side.
Gao Peng
Wu Jun-Bao
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