Two loop Kahler potential in beta-deformed N=4 SYM theory

Details Two loop Kahler potential in beta-deformed N=4 SYM theory Two loop Kahler potential in beta-deformed N=4 SYM theory

2008-05-23

arxiv.org/abs/0805.3574v2

JHEP0807:061,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 1 figure, version published in JHEP

Scientific paper

10.1088/1126-6708/2008/07/061

In N=2 superconformal field theories the Kahler potential is known to be tree level exact. The beta-deformation of N=4 SU(N) SYM reduces the amount of supersymmetry to N=1, allowing for non-trivial, superconformal loop corrections to the Kahler potential. We analyse the two-loop corrections on the Coulomb branch for a complex deformation. For an arbitrary chiral field in the Cartan subalgebra we reduce the problem of computing the two-loop Kahler potential to that of diagonalising the mass matrix, we then present the result in a manifestly superconformal form. The mass matrix diagonalisation is performed for the case of the chiral background that induces the breaking pattern SU(N) -> SU(N-2)*U(1)^2. Then, for the gauge group SU(3), the Kahler potential is explicitly computed to the two-loop order.

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