D -Particle Bound States and Generalized Instantons

1998/03/31 by Gregory W. Moore, G. Moore, Nikita Nekrasov +3 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bound state #Computer science #Gauge (firearms) #Gauge group #Gauge theory #Instanton #Materials science #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Principal (computer security) #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-th

paper · pdf · doi:10.1007/s002200050016

published as Commun.Math.Phys. 209 (2000) 77-95 · harvmac, 24 pages; v2. references added, typos corrected; v3. one more reference added

arxiv created 1998/04/20 · openalex publication_date 2000/01/01 · arxiv updated 2017/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 N=1, D=4,6,10 super-Yang-Mills theories with gauge group SU(N). The results are: 1\overN² for D=4,6, ∑_{d | N} 1\overd² for D=10. We also discuss the D=3 case.

Citations

• TASI Lectures on D-Branes
• A large-N reduced model as superstring
• Two Dimensional Gauge Theories Revisited
• The moment map and equivariant cohomology

Cited by

• R4 couplings and automorphic unipotent representations
• On the chiral ring of Script N = 1 supersymmetric gauge theories
• Partition functions of reduced matrix models with classical gauge groups
• 3d expansions of 5d instanton partition functions