Closed string degeneracies | A First Course in String Theory

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(a) State the values of and give the degeneracies for the first five mass levels of the closed bosonic string theory.

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p.288 Equation (13.48):

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p.290 “A basis vector belongs to the state space _*if and only if*_ it satisfies the level-matching constraint”

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Assuming the signs of the wave functions do not matter:

**p.291 How come the number of the components of the matrix represents the number of states?**

p.292 For massless states, we have only one and , where and cannot interchange. So and also cannot interchange. In other words, in Equation (13.69), there is no double count. All the states are independent.

But for non-massless states, this probably is not true anymore:

— Me@2018-04-17 04:47:31 PM

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2018.04.17 Tuesday (c) All rights reserved by ACHK