D-particle bound states and generalized instantons

Gregory Moore; Nikita Nekrasov; Samson Shatashvili

doi:10.1007/s002200050016

D-particle bound states and generalized instantons

Gregory Moore
, Nikita Nekrasov
, Samson Shatashvili

Simons Center for Geometry & Physics

Yale University
CERN
Steklov Mathematical Institute

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

260 Scopus citations

Abstract

We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0 + 1 dimensions of script N = 1, D = 4, 6, 10 super-Yang-Mills theories with gauge group SU (N). The results are: 1/N² for D = 4, 6, Σ_d\N 1/d² for D = 10. We also discuss the D = 3 case.

Original language	English
Pages (from-to)	77-95
Number of pages	19
Journal	Communications in Mathematical Physics
Volume	209
Issue number	1
DOIs	https://doi.org/10.1007/s002200050016
State	Published - 2000

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10.1007/s002200050016

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title = "D-particle bound states and generalized instantons",

abstract = "We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0 + 1 dimensions of script N = 1, D = 4, 6, 10 super-Yang-Mills theories with gauge group SU (N). The results are: 1/N2 for D = 4, 6, Σd\textbackslash{}N 1/d2 for D = 10. We also discuss the D = 3 case.",

author = "Gregory Moore and Nikita Nekrasov and Samson Shatashvili",

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doi = "10.1007/s002200050016",

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T1 - D-particle bound states and generalized instantons

AU - Moore, Gregory

AU - Nekrasov, Nikita

AU - Shatashvili, Samson

PY - 2000

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N2 - We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0 + 1 dimensions of script N = 1, D = 4, 6, 10 super-Yang-Mills theories with gauge group SU (N). The results are: 1/N2 for D = 4, 6, Σd\N 1/d2 for D = 10. We also discuss the D = 3 case.

AB - We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0 + 1 dimensions of script N = 1, D = 4, 6, 10 super-Yang-Mills theories with gauge group SU (N). The results are: 1/N2 for D = 4, 6, Σd\N 1/d2 for D = 10. We also discuss the D = 3 case.

UR - https://www.scopus.com/pages/publications/0034360551

U2 - 10.1007/s002200050016

DO - 10.1007/s002200050016

M3 - Article

AN - SCOPUS:0034360551

SN - 0010-3616

VL - 209

SP - 77

EP - 95

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

D-particle bound states and generalized instantons

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