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We study the moduli space of the boundary conformal field theories describingan unstable D-brane of type II string theory compactified on a circle ofcritical radius. This moduli space has two branches, -- a three dimensionalbranch S^3/Z_2 and a two dimensional branch described by a square torus T^2.These two branches are joined along a circle. We compare this with the modulispace of classical solutions of tachyon effective field theory compactified ona circle of critical radius. This moduli space has a very similar structure tothat of the boundary conformal field theory with the only difference that theS^3 of the S^3/Z_2 component becomes a deformed S^3. This provides one moreindication that the tachyon effective field theory captures qualitatively thedynamics of the tachyon on an unstable D-brane.Comment: LaTeX file, 24 pages, 2 figures; v2: reference to earlier work adde

Moduli Space of Unstable D-branes on a Circle of Critical Radius