Index
Symbols
#, 257, 261
··, 130
∼, 123
1PI vertex, 304, 323
region, 264
1PR region, 264
2d gravity, 59, 183
A
Adjoint, see Euclidean; Hermitian adjoint
AdS/CFT, 328
B
Background independence, 327
Background metric, 33
Batalin–Vilkovisky formalism, 16, 321, 403
antibracket, 406
BRST transformation, 407
classical master equation, 408
field redefinition, 408
fields and antifields, 405
gauge fixing, 409
quantum BRST transformation, 410
quantum master equation, 411
bc CFT, see First-order CFT;
Reparametrization bc ghosts
Beltrami differential, 45
Berkovits’ super-SFT, 353
βγ CFT, see First-order CFT; Superconformal
βγ ghosts
Bosonic string CFT, 186
L 0 , 187, 192
complex parametrization, 192
Hilbert space, 187
level operator, 188, 193
light-cone parametrization, 192
Boundary condition, 127
Neveu–Schwarz (NS), 127
Ramond (R), 127
twisted, 127
untwisted, 127
BPZ conjugation, 126
mode, 128
state, 132
BRST cohomology, 85, 182
absolute, 85, 188, 198
relative, 86, 190, 195, 196, 199
semi-relative, 86, 199
two flat directions, 186–201
BRST current, 182
OPE, 183–184
BRST operator, 182
commutator, 185
full
zero-mode decomposition, 199
mode expansion, 184
zero-mode decomposition, 184
BRST quantization
change of gauge fixing condition, 401, 402
charge nilpotency, 401
cohomology, 401
Nakanishi–Lautrup auxiliary field, 400
physical states, 402
transformations, 400
BRST SFT, see Covariant SFT
C
Central charge, 34, 117, 124
CKV, see Conformal Killing, vector
Classical solution
marginal deformation, 332
Closed string amplitude
Feynman diagram decomposition, 294
on punctured moduli space, 246
tree-level
© Springer Nature Switzerland AG 2021
H. Erbin, String Field Theory, Lecture Notes in Physics 980,
https://doi.org/10.1007/978-3-030-65321-7
415
Symbols
#, 257, 261
··, 130
∼, 123
1PI vertex, 304, 323
region, 264
1PR region, 264
2d gravity, 59, 183
A
Adjoint, see Euclidean; Hermitian adjoint
AdS/CFT, 328
B
Background independence, 327
Background metric, 33
Batalin–Vilkovisky formalism, 16, 321, 403
antibracket, 406
BRST transformation, 407
classical master equation, 408
field redefinition, 408
fields and antifields, 405
gauge fixing, 409
quantum BRST transformation, 410
quantum master equation, 411
bc CFT, see First-order CFT;
Reparametrization bc ghosts
Beltrami differential, 45
Berkovits’ super-SFT, 353
βγ CFT, see First-order CFT; Superconformal
βγ ghosts
Bosonic string CFT, 186
L 0 , 187, 192
complex parametrization, 192
Hilbert space, 187
level operator, 188, 193
light-cone parametrization, 192
Boundary condition, 127
Neveu–Schwarz (NS), 127
Ramond (R), 127
twisted, 127
untwisted, 127
BPZ conjugation, 126
mode, 128
state, 132
BRST cohomology, 85, 182
absolute, 85, 188, 198
relative, 86, 190, 195, 196, 199
semi-relative, 86, 199
two flat directions, 186–201
BRST current, 182
OPE, 183–184
BRST operator, 182
commutator, 185
full
zero-mode decomposition, 199
mode expansion, 184
zero-mode decomposition, 184
BRST quantization
change of gauge fixing condition, 401, 402
charge nilpotency, 401
cohomology, 401
Nakanishi–Lautrup auxiliary field, 400
physical states, 402
transformations, 400
BRST SFT, see Covariant SFT
C
Central charge, 34, 117, 124
CKV, see Conformal Killing, vector
Classical solution
marginal deformation, 332
Closed string amplitude
Feynman diagram decomposition, 294
on punctured moduli space, 246
tree-level
© Springer Nature Switzerland AG 2021
H. Erbin, String Field Theory, Lecture Notes in Physics 980,
https://doi.org/10.1007/978-3-030-65321-7
415