= Buscher dual of a metric with vanishing two-form
{c}
{title2=$g'_{ij}=g_{ij}-g_{yi}g_{yj}/g_{yy}$}
For a nondegenerate isometry direction $y$ and initially zero two-form, the local T-dual fields in alpha-prime-one units are $g'_{yy}=1/g_{yy}$, $g'_{yi}=0$, $g'_{ij}=g_{ij}-g_{yi}g_{yj}/g_{yy}$, $B'_{yi}=g_{yi}/g_{yy}$ and $B'_{ij}=0$. Gauging the isometry and eliminating its auxiliary connection derives these rules. The spectator metric is a <Schur complement>. The sign of the mixed two-form follows the multiplier and dual-coordinate orientation convention.
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