Free boson TT OPE: T(z)T(w) ~ c/(2(z−w)⁴) + …

Layer 1 — Physicsin the conformal-field-theory subtree

Free massless boson φ on a 2D cylinder — holomorphic stress tensor T(z) = −½ :(∂φ)²: (normal-ordered, ∂ ≡ ∂_z). Quantisation of the mode expansion [a_m, a_n] = m·δ_{m+n,0} yields the conformal central charge c = 1 (a single free compact…

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