TY - JOUR

T1 - Two loop Kahler potential in beta-deformed N=4 SYM theory

AU - Tyler, Simon

PY - 2008

Y1 - 2008

N2 - 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) x U(1)(2). Then, for the gauge group SU(3), the Kahler potential is explicitly computed to the two-loop order.

AB - 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) x U(1)(2). Then, for the gauge group SU(3), the Kahler potential is explicitly computed to the two-loop order.

U2 - 10.1088/1126-6708/2008/07/061

DO - 10.1088/1126-6708/2008/07/061

M3 - Article

VL - 7

SP - -

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1029-8479

ER -