Notes for AdS/CFT course

Topic 4: Vectors and Tensors, Conserved Currents


Typo: should be (∆-1)(∆-1+d) = m^2 below

Typos: missing g_ab^AdS in front of h_c^c for Fierz-Pauli mass term, to resolve index mismatch
Also T_ij ~ z^(∆-2) h_ij below makes no sense, it should be like the scalar & vector cases:
• h_ij = z^(∆-2) T_ij + O(z^∆)
• T_ij = lim_{z->0} z^(2-∆)h_ij
Finally, the signs and overall factor in (R+2Λ) Lagrangian are dependent on a number of conventions so caveat emptor

I wish I had time to talk about Witten diagrams in greater depth, for more detail see some of the posted review articles