A Conventions
379
• :O: : conformal normal ordering (with respect to SL(2, C) vacuum |0)
•
O
: energy normal ordering (with respect to energy vacuum |)
SFT:
• : closed string field
• {φ r } = {φ α (k)}: basis of H (or some subspace)
Indices:
• μ = 0, . . . , D − 1: non-compact spacetime dimensions
• a = 0, . . . , p: worldvolume coordinates (p = 1: worldsheet)
• i = 1, . . . , n: external states, local coordinates
• λ = 1, . . . , M g,n : real moduli of M g,n
• = 1, . . . , M c
g,n : complex moduli of M g,n
• i = 1, . . . , M g : real moduli of M g
• I = 1, . . . , M c
g : complex moduli of M g
• i = 1, . . . , K g : real CKV of K g
• K = 1, . . . , K c
g : complex CKV of K g
• r = (k, α): index for basis state of H (or some subspaces) and α: non-momentum
indices
379
• :O: : conformal normal ordering (with respect to SL(2, C) vacuum |0)
•
O
: energy normal ordering (with respect to energy vacuum |)
SFT:
• : closed string field
• {φ r } = {φ α (k)}: basis of H (or some subspace)
Indices:
• μ = 0, . . . , D − 1: non-compact spacetime dimensions
• a = 0, . . . , p: worldvolume coordinates (p = 1: worldsheet)
• i = 1, . . . , n: external states, local coordinates
• λ = 1, . . . , M g,n : real moduli of M g,n
• = 1, . . . , M c
g,n : complex moduli of M g,n
• i = 1, . . . , M g : real moduli of M g
• I = 1, . . . , M c
g : complex moduli of M g
• i = 1, . . . , K g : real CKV of K g
• K = 1, . . . , K c
g : complex CKV of K g
• r = (k, α): index for basis state of H (or some subspaces) and α: non-momentum
indices