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Algebraic structure of string field ...

Doubek, Martin.

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Algebraic structure of string field theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic structure of string field theory/ by Martin Doubek ... [et al.].
other author:	Doubek, Martin.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xi, 221 p. :ill., digital ;24 cm.
[NT 15003449]:	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
Subject:	String models - Mathematics. -
Online resource:	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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245 0 0 $a Algebraic structure of string field theory $h [electronic resource] / $c by Martin Doubek ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xi, 221 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 0075-8450 ; $v v.973
505 0 $a 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.
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.
650 0 $a String models $x Mathematics. $3 3528332
650 0 $a Geometry, Algebraic. $3 532048
650 0 $a Mathematical physics. $3 516853
650 0 $a Physics. $3 516296
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650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Algebraic Geometry. $3 893861
700 1 $a Doubek, Martin. $3 3528330
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950 $a Physics and Astronomy (SpringerNature-11651)