TY  - BOOK
AU  - Doubek, Martin
AU  - Jurčo, Branislav
AU  - Markl, Martin
AU  - Sachs, Ivo
TI  - Algebraic structure of string field theory
VL  - 973
SN  - 0075-8450
CY  - Cham
PB  - Springer
M1  - PUBDB-2021-02079
SN  - 9783030530563
T2  - Lecture Notes in Physics
SP  - 1 online resource (xi, 221 pages) : illustrations
PY  - 2020
AB  - This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.
KW  - String field theory (DE-H253)
KW  - Algebraic geometry (DE-H253)
KW  - Homotopy algebras (DE-H253)
KW  - Topological strings (DE-H253)
KW  - Algebraic string theory (DE-H253)
KW  - Operads (DE-H253)
KW  - Operad theory (DE-H253)
KW  - String perturbation theory (DE-H253)
LB  - PUB:(DE-HGF)3
DO  - DOI:10.1007/978-3-030-53056-3
UR  - https://bib-pubdb1.desy.de/record/457590
ER  -