T-duality R -> alpha'/R; self-dual radius R = sqrt(alpha'); Day-convolution Fourier-Mukai

Layer 1 — Physicsin the string-theory subtree

T-duality framework for string compactification on a circle (Kikkawa-Yamasaki 1984 Phys Lett B 149, 357; Sakai-Senda 1986). Setup: closed string compactified on circle of radius R has spectrum of momentum modes p = n/R and winding modes p…

Related concepts

Day convolution
Theorem: R^2 - alpha' = 0 at R = sqrt(alpha') (T-duality self-dual radius)

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