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Algebraic structure of string field ...

Doubek, Martin.

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Algebraic structure of string field theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebraic structure of string field theory/ by Martin Doubek ... [et al.].
其他作者:	Doubek, Martin.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xi, 221 p. :ill., digital ;24 cm.
內容註:	Relativistic Point Particle -- String Theory -- Open and closed strings -- Open-closed BV equation -- A- and L-algebras -- Homotopy involutive Lie bialgebras -- Operads -- Feynman transform of a modular operad -- Structures relevant to physics.
Contained By:	Springer Nature eBook
標題:	String models - Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-030-53056-3
ISBN:	9783030530563

Algebraic structure of string field theory
Algebraic structure of string field theory[electronic resource] /by Martin Doubek ... [et al.]. - Cham :Springer International Publishing :2020. - xi, 221 p. :ill., digital ;24 cm. - Lecture notes in physics,v.9730075-8450 ;. - Lecture notes in physics ;v.973..

Relativistic Point Particle -- String Theory -- Open and closed strings -- Open-closed BV equation -- A- and L-algebras -- Homotopy involutive Lie bialgebras -- Operads -- Feynman transform of a modular operad -- Structures relevant to physics.

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.

ISBN: 9783030530563

Standard No.: 10.1007/978-3-030-53056-3doiSubjects--Topical Terms:

3528332
String models
--Mathematics.

LC Class. No.: QC794.6.S85

Dewey Class. No.: 530.14

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520 $a 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.
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