A First Course in String Theory
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(d) Consider the two curves for some fixed
. The identification (2) makes each of these curves into a circle. Find the invariant circumference of this circle by integrating the appropriate root of
between two neighboring identified points. Give your answers in terms of
and
. Answer:
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Identification (2):
, where
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Choose a segment on which .
The lower limit should be smaller than the upper limit.
— Me@2022-01-05 02:40:45 PM
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