Instanton partition functions and M-theory

Nikita A. Nekrasov

doi:10.1007/s11537-009-0853-9

Instanton partition functions and M-theory

Nikita A. Nekrasov

Simons Center for Geometry & Physics

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

We discuss instanton partition functions in various spacetime dimensions. These partition functions capture some information about the spectrum of the supersymmetric gauge theories and their low-energy dynamics. Some of these theories can be defined microscopically only through string theory. Remarkably, they even know about the M-theory. Our conjectures include the identities between the generalization of the MacMahon formula and the character of M-theory, compactified down to 0 + 1 dimension.

Original language	English
Pages (from-to)	63-93
Number of pages	31
Journal	Japanese Journal of Mathematics
Volume	4
Issue number	1
DOIs	https://doi.org/10.1007/s11537-009-0853-9
State	Published - 2009

Keywords

Gauge theory
Generating functions
Instantons
M-theory
Random partitions
String theory
Supersymmetry

Access to Document

10.1007/s11537-009-0853-9

Cite this

@article{07b0359ae2aa43ba9c9d5790144d759b,

title = "Instanton partition functions and M-theory",

abstract = "We discuss instanton partition functions in various spacetime dimensions. These partition functions capture some information about the spectrum of the supersymmetric gauge theories and their low-energy dynamics. Some of these theories can be defined microscopically only through string theory. Remarkably, they even know about the M-theory. Our conjectures include the identities between the generalization of the MacMahon formula and the character of M-theory, compactified down to 0 + 1 dimension.",

keywords = "Gauge theory, Generating functions, Instantons, M-theory, Random partitions, String theory, Supersymmetry",

author = "Nekrasov, \{Nikita A.\}",

year = "2009",

doi = "10.1007/s11537-009-0853-9",

language = "English",

volume = "4",

pages = "63--93",

journal = "Japanese Journal of Mathematics",

issn = "0289-2316",

number = "1",

}

TY - JOUR

T1 - Instanton partition functions and M-theory

AU - Nekrasov, Nikita A.

PY - 2009

Y1 - 2009

N2 - We discuss instanton partition functions in various spacetime dimensions. These partition functions capture some information about the spectrum of the supersymmetric gauge theories and their low-energy dynamics. Some of these theories can be defined microscopically only through string theory. Remarkably, they even know about the M-theory. Our conjectures include the identities between the generalization of the MacMahon formula and the character of M-theory, compactified down to 0 + 1 dimension.

AB - We discuss instanton partition functions in various spacetime dimensions. These partition functions capture some information about the spectrum of the supersymmetric gauge theories and their low-energy dynamics. Some of these theories can be defined microscopically only through string theory. Remarkably, they even know about the M-theory. Our conjectures include the identities between the generalization of the MacMahon formula and the character of M-theory, compactified down to 0 + 1 dimension.

KW - Gauge theory

KW - Generating functions

KW - Instantons

KW - M-theory

KW - Random partitions

KW - String theory

KW - Supersymmetry

UR - https://www.scopus.com/pages/publications/64049097679

U2 - 10.1007/s11537-009-0853-9

DO - 10.1007/s11537-009-0853-9

M3 - Article

AN - SCOPUS:64049097679

SN - 0289-2316

VL - 4

SP - 63

EP - 93

JO - Japanese Journal of Mathematics

JF - Japanese Journal of Mathematics

IS - 1

ER -

Instanton partition functions and M-theory

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this