(Non)supersymmetric marginal deformations from twistor string theory
Abstract
The treelevel amplitudes in the βdeformed supersymmetric gauge theory are derived from twistor string theory. We first show that a simple generalization of [M. Kulaxizi, K. Zoubos, Marginal deformations of N=4 SYM from open/closed twistor strings, Nucl. Phys. B 738 (2006) 317, arxiv:/hepth/0410122] gives us the desired results for all the treelevel amplitudes up to first order in the deformation parameter β. Then we provide a new proposal which matches field theory to all orders of β. With our deformed twistor string theory, it can be shown that integration over connected instantons and disconnected instantons remain equivalent. The treelevel amplitudes in the nonsupersymmetric γdeformed theory can be obtained using a similar deformation of the twistor string. Finally, we find improved twistor string results for the treelevel purely gluonic amplitudes in theories with more general marginal deformations.
 Publication:

Nuclear Physics B
 Pub Date:
 July 2008
 DOI:
 10.1016/j.nuclphysb.2008.01.027
 arXiv:
 arXiv:hepth/0611128
 Bibcode:
 2008NuPhB.798..184G
 Keywords:

 11.15.Bt;
 11.30.Pb;
 General properties of perturbation theory;
 Supersymmetry;
 High Energy Physics  Theory
 EPrint:
 14 pages, no figures