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{title2=$\gamma_{\alpha\beta}$}
{wiki=Induced_metric}

The induced worldsheet metric is the pullback of the target-space metric:
$$
\gamma_{\alpha\beta}=\partial_\alpha X^\mu\partial_\beta X^\nu\eta_{\mu\nu}.
$$


Induced worldsheet metric

Nambu–Goto action

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 306 / 1 / a / Solution

Polyakov action

Induced worldsheet metric ( $γ_{α β}$ )

Nambu–Goto action

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Induced worldsheet metric (γαβ​)

Nambu–Goto action

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Induced worldsheet metric ( $γ_{α β}$ )

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