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How to deduce equations 3.6.15 in Polchinski's string theory book?

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In polchinski's first course on string, with

enter image description here

how to deduce enter image description here

This post imported from StackExchange Physics at 2014-03-11 07:56 (UCT), posted by SE-user Zhao. zhanliang

asked Mar 10, 2014 in Theoretical Physics by Zhao. zhanliang (5 points) [ revision history ]
edited Apr 19, 2014 by dimension10

Related post physics.stackexchange.com/q/73393

This post imported from StackExchange Physics at 2014-03-11 07:56 (UCT), posted by SE-user user26143

commented Mar 10, 2014 by user26143 (405 points) [ no revision ]
edited Apr 19, 2014 by dimension10

Thanks,but i don't know how can the term $e^{\omega (\sigma)}$ in the equation(1) make it satisfy the geodesic constraint

This post imported from StackExchange Physics at 2014-03-11 07:56 (UCT), posted by SE-user Zhao. zhanliang

commented Mar 10, 2014 by Zhao. zhanliang (5 points) [ no revision ]

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