Two loop Kahler potential in beta-deformed N=4 SYM theory
Abstract
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.
Cite
@article{arxiv.0805.3574,
title = {Two loop Kahler potential in beta-deformed N=4 SYM theory},
author = {Simon J. Tyler},
journal= {arXiv preprint arXiv:0805.3574},
year = {2014}
}
Comments
24 pages, 1 figure, version published in JHEP