國立虎尾科技大學 |

Partition Functions and Automorphic Forms

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Partition Functions and Automorphic Forms/ edited by Valery A. Gritsenko, Vyacheslav P. Spiridonov.
其他作者:	Spiridonov, Vyacheslav P.
面頁冊數:	XIII, 415 p. 31 illus., 11 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Special Functions. -
電子資源:	https://doi.org/10.1007/978-3-030-42400-8
ISBN:	9783030424008

Partition Functions and Automorphic Forms
Partition Functions and Automorphic Forms[electronic resource] /edited by Valery A. Gritsenko, Vyacheslav P. Spiridonov. - 1st ed. 2020. - XIII, 415 p. 31 illus., 11 illus. in color.online resource. - Moscow Lectures,52522-0314 ;. - Moscow Lectures,2.

A short introduction to the algebra, geometry, number theory and physics of moonshine -- Modified elliptic genus -- Superconformal indices and instanton partition functions -- On spinorial representations of involutory subalgebras of Kac-Moody algebras -- BPS spectra and invariants for three- and four-manifolds -- Introduction to the theory of elliptic hypergeometric integrals -- Feynman integrals and mirror symmetry -- Theory and applications of the elliptic Painlevé equation.

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,…,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.

ISBN: 9783030424008

Standard No.: 10.1007/978-3-030-42400-8doiSubjects--Topical Terms:

672152
Special Functions.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 519

Partition Functions and Automorphic Forms
LDR:03164nam a22004095i 4500 001 1020523
003 DE-He213
005 20200709170744.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030424008 $9 978-3-030-42400-8
024 7 $a 10.1007/978-3-030-42400-8 $2 doi
035 $a 978-3-030-42400-8
050 4 $a QC19.2-20.85
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
082 0 4 $a 519 $2 23
245 1 0 $a Partition Functions and Automorphic Forms $h [electronic resource] / $c edited by Valery A. Gritsenko, Vyacheslav P. Spiridonov.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XIII, 415 p. 31 illus., 11 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Moscow Lectures, $x 2522-0314 ; $v 5
505 0 $a A short introduction to the algebra, geometry, number theory and physics of moonshine -- Modified elliptic genus -- Superconformal indices and instanton partition functions -- On spinorial representations of involutory subalgebras of Kac-Moody algebras -- BPS spectra and invariants for three- and four-manifolds -- Introduction to the theory of elliptic hypergeometric integrals -- Feynman integrals and mirror symmetry -- Theory and applications of the elliptic Painlevé equation.
520 $a This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,…,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.
650 2 4 $a Special Functions. $3 672152
650 2 4 $a Quantum Field Theories, String Theory. $3 768973
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Mathematical Physics. $3 786661
650 1 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 0 $a Special functions. $3 1257411
650 0 $a String theory. $3 1254756
650 0 $a Quantum field theory. $3 579915
650 0 $a Physics. $3 564049
650 0 $a Mathematical physics. $3 527831
700 1 $a Spiridonov, Vyacheslav P. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1316016
700 1 $a Gritsenko, Valery A. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1316015
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030423995
776 0 8 $i Printed edition: $z 9783030424015
776 0 8 $i Printed edition: $z 9783030424022
830 0 $a Moscow Lectures, $x 2522-0314 ; $v 2 $3 1279725
856 4 0 $u https://doi.org/10.1007/978-3-030-42400-8
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)