Index
Symbols
A ∞ -algebra, 8
L ∞ -algebra, 8
L ∞ -morphism, 8
L ∞ -algebra, 47
BPZ-inner product, 30
IBL ∞ -algebra, 8, 48, 207
IBL ∞ -morphism, 8
non-Σ cyclic module, 127
non-Σ cyclic operad, 126
A
Anti-associative algebra, 152
Anti-bracket, 40
Associated modular module, 171
B
Background independence, 22, 41
BV algebra, 40
C
Cardy condition, 55
Casimir element, 113, 133
Chain map, 43
Chain complex, 39
Chevalley-Eilenberg differential, 49
Cobar construction, 47, 170
Coderivation, 47
Cohomological vector field, 11
Contraction of a graph, 144
Curved L ∞ -algebra, 83
Cyclic cohomology, 60
Cyclic complex, 58
Cyclic endomorphism operad, 110
Cycle in a set, 139
Cyclic module, 119
Cyclic operad, 96, 100, 102
D
Degree, 30
Derivation, 163
Desuspension, 93
Desymmetrization, 127
Dg-vector space, 92
Differential graded (dg) algebra, 7, 14
Disjoint union, 40
Dual graph, 137
E
Edge of a graph, 117
Evolution kernel, 10
External differential, 176
F
Feynman transform, 176
Flags of a graph, 117
Free cyclic operad, 122
Free modular operad, 142, 145
Free non-Σ cyclic operad, 128
Free odd modular operad, 156
Frobenius algebra, 132, 133
G
Gauge fixing, 32
Gauge redundancy, 29
Genus, 143
Geometric realization, 117
© Springer Nature Switzerland AG 2020
M. Doubek et al., Algebraic Structure of String Field Theory, Lecture Notes
in Physics 973, https://doi.org/10.1007/978-3-030-53056-3
219
Symbols
A ∞ -algebra, 8
L ∞ -algebra, 8
L ∞ -morphism, 8
L ∞ -algebra, 47
BPZ-inner product, 30
IBL ∞ -algebra, 8, 48, 207
IBL ∞ -morphism, 8
non-Σ cyclic module, 127
non-Σ cyclic operad, 126
A
Anti-associative algebra, 152
Anti-bracket, 40
Associated modular module, 171
B
Background independence, 22, 41
BV algebra, 40
C
Cardy condition, 55
Casimir element, 113, 133
Chain map, 43
Chain complex, 39
Chevalley-Eilenberg differential, 49
Cobar construction, 47, 170
Coderivation, 47
Cohomological vector field, 11
Contraction of a graph, 144
Curved L ∞ -algebra, 83
Cyclic cohomology, 60
Cyclic complex, 58
Cyclic endomorphism operad, 110
Cycle in a set, 139
Cyclic module, 119
Cyclic operad, 96, 100, 102
D
Degree, 30
Derivation, 163
Desuspension, 93
Desymmetrization, 127
Dg-vector space, 92
Differential graded (dg) algebra, 7, 14
Disjoint union, 40
Dual graph, 137
E
Edge of a graph, 117
Evolution kernel, 10
External differential, 176
F
Feynman transform, 176
Flags of a graph, 117
Free cyclic operad, 122
Free modular operad, 142, 145
Free non-Σ cyclic operad, 128
Free odd modular operad, 156
Frobenius algebra, 132, 133
G
Gauge fixing, 32
Gauge redundancy, 29
Genus, 143
Geometric realization, 117
© Springer Nature Switzerland AG 2020
M. Doubek et al., Algebraic Structure of String Field Theory, Lecture Notes
in Physics 973, https://doi.org/10.1007/978-3-030-53056-3
219