Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional (Record no. 21674)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03916nam a22005415i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200701170753.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190828s2019 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030137588 |
| -- | 978-3-030-13758-8 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Keßler, Enno. |
| 245 10 - TITLE STATEMENT | |
| Title | Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional |
| Statement of responsibility, etc | by Enno Keßler. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIII, 305 p. 51 illus. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- PART I Super Differential Geometry -- Linear Superalgebra -- Supermanifolds -- Vector Bundles -- Super Lie Groups -- Principal Fiber Bundles -- Complex Supermanifolds -- Integration -- PART II Super Riemann Surfaces -- Super Riemann Surfaces and Reductions of the Structure Group -- Connections on Super Riemann Surfaces -- Metrics and Gravitinos -- The Superconformal Action Functional -- Computations in Wess–Zumino Gauge. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1. The first part gives an introduction to the super differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, smooth families of complex manifolds and integration theory are developed. The second part studies uniformization, U(1)-structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of Riemann surfaces by a gravitino field. A natural geometric action functional on super Riemann surfaces is shown to reproduce the action functional of the non-linear supersymmetric sigma model using a component field formalism. The conserved currents of this action can be identified as infinitesimal deformations of the super Riemann surface. This is in surprising analogy to the theory of Riemann surfaces and the harmonic action functional on them. This volume is aimed at both theoretical physicists interested in a careful treatment of the subject and mathematicians who want to become acquainted with the potential applications of this beautiful theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential geometry. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Quantum field theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | String theory. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential Geometry. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical Physics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Quantum Field Theories, String Theory. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-13758-8 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | EBooks |
| 037 ## - SOURCE OF ACQUISITION | |
| Source of stock number/acquisition | Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002 |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21022 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/M35000 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19048 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0075-8434 ; |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 912 ## - | |
| -- | ZDB-2-LNM |
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