Counting states in heterotic SO(32) string theory | A First Course in String Theory
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(a) Consider the left NS’ sector. Write the precise mass-squared formula with normal-ordered oscillators and the appropriate normal-ordering constant.
The GSO projection here keeps the states with ; this defines the left NS’+ sector.
Write explicitly and count the states we keep for the three lowest mass levels, indicating the corresponding values of . [This is a long list.]
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p.314 “Let us declare that number to be minus one, thus making the ground states fermionic:”
Equation (14.39):
Equation (14.40):
p.315 “So all the states with integer have
; they are fermionic states.”
However, in this problem:
“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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— This answer is my guess. —
If we define
in the way similar to equation (14.37), we have
Let
, the number of ways to put n indistinguishable balls into k boxes.
— This answer is my guess. —
— Me@2018-10-14 03:25:08 PM
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