On Two fermion BMN operators

Jul, 2003
45 pages
Published in:
  • Nucl.Phys.B 681 (2004) 195-229
e-Print:
Report number:
  • ROM2F-2003-16

Citations per year

200320062009201220130123456
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 g2g^2 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