Algebraic Structure of String Field Theory

0532941 - MÚ 2021 RIV CH eng B - Monography
Doubek, M. - Jurčo, B. - Markl, Martin - Sachs, I.
Algebraic Structure of String Field Theory.
1. - Cham: Springer, 2020. 221 s. Lecture Notes in Physics, 973. ISBN 978-3-030-53054-9. ISSN 0075-8450
R&D Projects: GA ČR(CZ) GA18-07776S
Grant - others:AV ČR(CZ) AP1801
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : string field theory * algebraic structure
OECD category: Pure mathematics
https://doi.org/10.1007/978-3-030-53056-3

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.
Permanent Link: http://hdl.handle.net/11104/0311319