Proof of all-order finiteness for planar beta-deformed Yang-Mills

Ananth, Sudarshan; Kovacs, Stefano; Shimada, Hidehiko

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Proof of all-order finiteness for planar beta-deformed Yang-Mills

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Ananth, Sudarshan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Kovacs, Stefano
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Shimada, Hidehiko
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Ananth, S., Kovacs, S., & Shimada, H. (2007). Proof of all-order finiteness for planar beta-deformed Yang-Mills. Journal of High Energy Physics, 2007(1): 046. Retrieved from http://ej.iop.org/links/r5K3qKAgu/ZEj614mr2xG21HrGav5vpA/jhep012007046.pdf.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-48BF-1

Abstract

We study a marginal deformation of N=4 Yang-Mills, with a real deformation parameter beta. This beta-deformed model has only N=1 supersymmetry and a U(1)xU(1) flavor symmetry. The introduction of a new superspace star-product allows us to formulate the theory in N=4 light-cone superspace, despite the fact that it has only N=1 supersymmetry. We show that this deformed theory is conformally invariant, in the planar approximation, by proving that its Green functions are ultra-violet finite to all orders in perturbation theory.