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Algebraic Structure of String Field Theory

Algebraic Structure of String Field Theory

Paperback

Series: Lecture Notes in Physics, Book 973

GeometryPhysics

ISBN10: 303053054X
ISBN13: 9783030530549
Publisher: Springer Nature
Published: Nov 23 2020
Pages: 221
Weight: 0.74
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English

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.

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