Counting states in heterotic SO(32) string theory | A First Course in String Theory

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d) Write a generating function for the full set of GSO-truncated states in the left-moving sector (include both NS’+ and R’+ states).

Use the convention where counts the number of states with .

Use and an algebraic manipulator to find the total number of states in heterotic string theory at .

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— This answer is my guess. —

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p.322

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The left NS’+ sector:

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“The left NS’ sector is built with oscillators and acting on the vacuum , declared to have :”

So all the states with integer have .

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Let

Then

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The left R’+ sector:

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— This answer is my guess. —

— Me@2019-01-14 04:28:10 PM

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2019.01.14 Monday (c) All rights reserved by ACHK