Chern-Simons and twisted supersymmetry in various dimensions

Laurent Baulieu; Andrei Losev; Nikita Nekrasov

doi:10.1016/S0550-3213(98)00096-0

Chern-Simons and twisted supersymmetry in various dimensions

Laurent Baulieu
, Andrei Losev
, Nikita Nekrasov

Simons Center for Geometry & Physics

Université Paris VI
Alikhanov Institute for Theoretical and Experimental Physics
Yale University

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

69 Scopus citations

Abstract

We introduce special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles and/or solutions to the analogues of instanton equations in higher dimensions. The theories may occur on the world-volumes of D-branes wrapping manifolds of a special holonomy. We also discuss the theories with matter.

Original language	English
Pages (from-to)	82-104
Number of pages	23
Journal	Nuclear Physics, Section B
Volume	522
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(98)00096-0
State	Published - Jun 29 1998

Keywords

Index theorems
Instanton equations
Quantum moduli spaces
Supersymmetric theories

Access to Document

10.1016/S0550-3213(98)00096-0

Cite this

@article{40ba2134c4ec431bac66130ad87282f0,

title = "Chern-Simons and twisted supersymmetry in various dimensions",

abstract = "We introduce special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles and/or solutions to the analogues of instanton equations in higher dimensions. The theories may occur on the world-volumes of D-branes wrapping manifolds of a special holonomy. We also discuss the theories with matter.",

keywords = "Index theorems, Instanton equations, Quantum moduli spaces, Supersymmetric theories",

author = "Laurent Baulieu and Andrei Losev and Nikita Nekrasov",

year = "1998",

month = jun,

day = "29",

doi = "10.1016/S0550-3213(98)00096-0",

language = "English",

volume = "522",

pages = "82--104",

journal = "Nuclear Physics, Section B",

issn = "0550-3213",

number = "1-2",

}

TY - JOUR

T1 - Chern-Simons and twisted supersymmetry in various dimensions

AU - Baulieu, Laurent

AU - Losev, Andrei

AU - Nekrasov, Nikita

PY - 1998/6/29

Y1 - 1998/6/29

N2 - We introduce special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles and/or solutions to the analogues of instanton equations in higher dimensions. The theories may occur on the world-volumes of D-branes wrapping manifolds of a special holonomy. We also discuss the theories with matter.

AB - We introduce special supersymmetric gauge theories in three, five, seven and nine dimensions, whose compactification on two-, four-, six- and eight-folds produces a supersymmetric quantum mechanics on moduli spaces of holomorphic bundles and/or solutions to the analogues of instanton equations in higher dimensions. The theories may occur on the world-volumes of D-branes wrapping manifolds of a special holonomy. We also discuss the theories with matter.

KW - Index theorems

KW - Instanton equations

KW - Quantum moduli spaces

KW - Supersymmetric theories

UR - https://www.scopus.com/pages/publications/0032577795

U2 - 10.1016/S0550-3213(98)00096-0

DO - 10.1016/S0550-3213(98)00096-0

M3 - Article

AN - SCOPUS:0032577795

SN - 0550-3213

VL - 522

SP - 82

EP - 104

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

Chern-Simons and twisted supersymmetry in various dimensions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this