Quick Calculation 14.4b | A First Course in String Theory

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Massive level in the open superstring

Consider the first and second excited levels of the open superstring ( and ). List the states in NS sector and the states in the R sector. Confirm that you get the same number of states.

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When , by Equation (14.37),

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There are states for

There are states for

There are states for

There are states for

There are states for

There are states for

There are states for

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So the total number of states is 56 + 224 + 8 + 448 + 64 + 64 + 288 = 1152.

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You can check this answer against Equation (14.67):

— Me@2018-02-16 03:22:13 PM

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2018.02.16 Friday (c) All rights reserved by ACHK