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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