Simon J. Tyler JHEP07(2008)061 doi:10.1088/1126-6708/2008/07/061
Two loop Kähler potential in β-deformed 
= 4 SYM theory
Simon J. Tyler
Show affiliations = 2 superconformal field theories the Kähler potential is known to be tree level exact. The β-deformation of = 4 SU(N) SYM reduces the amount of supersymmetry to = 1, allowing for non-trivial, superconformal loop corrections to the Kähler 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 Kähler 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 Kähler potential is explicitly computed to the two-loop order.
- Keywords
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E-print Number: 0805.3574
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- PACS
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11.30.Qc Spontaneous and radiative symmetry breaking
11.25.Hf Conformal field theory, algebraic structures
- Subjects
- Dates
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Issue 07 (July 2008)
Received 17 June 2008, accepted for publication 30 June 2008
Published 11 July 2008
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Two loop Kähler potential in β-deformed = 4 SYM theory
Simon J. Tyler JHEP07(2008)061
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