On Two fermion BMN operators
Jul, 200345 pages
Published in:
- Nucl.Phys.B 681 (2004) 195-229
e-Print:
- hep-th/0307081 [hep-th]
Report number:
- ROM2F-2003-16
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Abstract:
We show how to determine the lowest order mixing of all scalar with two-fermion two impurity BMN operators in the antisymmetric representation of SO(4). Differentiation on harmonic superspace allows one to derive two-loop anomalous dimensions of gauge invariant operators from this knowledge: the value for the second anomalous correction to the dimension is essentially the square of the two-fermion admixture. The method effectively increases the loop order by one. For low J we find agreement to all orders in N with results obtained upon diagonalisation of the N=4 dilation operator. We give a formula for the generalised Konishi anomaly and display its role in the mixing. For J=2 we resolve the mixing up to order in the singlet representation. The sum of the anomaly and the naive variation of the leading two-fermion admixtures to the singlets is exactly equal to the two-fermion terms in the antisymmetric descendants.- 11.15.-q
- 11.30.Pb
- supersymmetry
- superspace: harmonic
- fermion: operator
- group: SO(4)
- group theory: representation
- two-point function
- perturbation theory: higher-order
- higher-order: 2
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