國立高雄大學圖資館 |

登入

回首頁

Differential geometry through supersymmetric glasses

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential geometry through supersymmetric glassesA.V. Smilga.
作者:	Smilga, A. V.
出版者:	Singapore :World Scientific,c2020.
面頁冊數:	1 online resource (viii, 337 p.)
標題:	Geometry, Differential.
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/11457#t=toc
ISBN:	9789811206788$q(ebook)

Differential geometry through supersymmetric glasses
Smilga, A. V.

Differential geometry through supersymmetric glasses[electronic resource] /A.V. Smilga. - Singapore :World Scientific,c2020. - 1 online resource (viii, 337 p.)

Includes bibliographical references and index.

"Back in 1982, Edward Witten noticed that classical problems of differential geometry and differential topology such as the de Rham complex and Morse theory can be described in a very simple and transparent way using the language of supersymmetric quantum mechanics. Since then, many research papers have been written on this subject. Unfortunately not all the results in this field known to mathematicians have obtained a transparent physical interpretation, even if this new physical technique has also allowed many mathematical results to be derived which are completely new, in particular, hyper-Kaehler and the so-called HKT geometry. But in almost 40 years, no comprehensive monograph has appeared on this subject. So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap. It comprises three parts: The first, GEOMETRY, gives basic information on the geometry of real, complex, hyper-Kaehler and HKT manifolds, and is principally addressed to the physicist. The second part "PHYSICS" presents information on classical mechanics with ordinary and Grassmann dynamics variables. Besides, the author introduces supersymmetry and dwells in particular on the representation of supersymmetry algebra in superspace. And the last and most important part of the book "SYNTHESIS", is where the ideas borrowed from physics are used to study purely mathematical phenomena"--Publisher's website.

Mode of access: World Wide Web.

ISBN: 9789811206788$q(ebook)Subjects--Topical Terms:

182610
Geometry, Differential.

LC Class. No.: QC20.7.D52 / S65 2020

Dewey Class. No.: 516.36

Differential geometry through supersymmetric glasses
LDR:02458cmm a2200289 a 4500 001 627233
003 WSP
006 m o d
007 cr cnu---unuuu
008 230118s2020 si ob 001 0 eng d
010 $z 2020023691
020 $a 9789811206788$q(ebook)
020 $a 9811206783$q(ebook)
020 $z 9789811206771$q(hbk.)
035 $a 00011457
040 $a WSPC $b eng $c WSPC
041 0 $a eng
050 0 4 $a QC20.7.D52 $b S65 2020
082 0 4 $a 516.36 $2 23
100 1 $a Smilga, A. V. $3 931257
245 1 0 $a Differential geometry through supersymmetric glasses $h [electronic resource] / $c A.V. Smilga.
260 $a Singapore : $b World Scientific, $c c2020.
300 $a 1 online resource (viii, 337 p.)
504 $a Includes bibliographical references and index.
520 $a "Back in 1982, Edward Witten noticed that classical problems of differential geometry and differential topology such as the de Rham complex and Morse theory can be described in a very simple and transparent way using the language of supersymmetric quantum mechanics. Since then, many research papers have been written on this subject. Unfortunately not all the results in this field known to mathematicians have obtained a transparent physical interpretation, even if this new physical technique has also allowed many mathematical results to be derived which are completely new, in particular, hyper-Kaehler and the so-called HKT geometry. But in almost 40 years, no comprehensive monograph has appeared on this subject. So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap. It comprises three parts: The first, GEOMETRY, gives basic information on the geometry of real, complex, hyper-Kaehler and HKT manifolds, and is principally addressed to the physicist. The second part "PHYSICS" presents information on classical mechanics with ordinary and Grassmann dynamics variables. Besides, the author introduces supersymmetry and dwells in particular on the representation of supersymmetry algebra in superspace. And the last and most important part of the book "SYNTHESIS", is where the ideas borrowed from physics are used to study purely mathematical phenomena"--Publisher's website.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Description based on print version record.
650 0 $a Geometry, Differential. $3 182610
650 0 $a Mathematical physics. $3 190854
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/11457#t=toc