String Theory Demystified

CHAPTER 7 RNS Superstrings 151
3. A continuation of Prob. 2. What is the total conserved current? (Hint: ω µν is
antisymmetric.)
µ β µ
4. For the worldsheet supercurrent J = 12 / ρρψ∂
X , calculate ρ α
α β µ
α
J . α
5. Using Eq. (7.14), fi nd δL given S =−T/ 2
B
2
d σ ( ∂
µ α
X ∂ X
µ α
−iψ ρ ∂ ψ )
6. Calculate ∂ T . + −−
7. Find ( −1)
,
F
b µ
.
{ r }
µ 11
8. Find { Γ , Γ } .
9. Calculate ( Γ )
11 2 .
10. Characterize the states α
∫
0 and d 0 .
µ µ
−1 NS −1
R
α
µ
α µ .