D particle bound states and generalized instantons

Moore, Gregory W.; Nekrasov, Nikita; Shatashvili, Samson

doi:10.1007/s002200050016

D particle bound states and generalized instantons

Gregory W. Moore
(
- Yale U.
)
,
Nikita Nekrasov
(
- Moscow, ITEP and
- Harvard U.
)
,
Samson Shatashvili
(
- Yale U. and
- CERN
)

Mar, 1998

23 pages

Published in:

Commun.Math.Phys. 209 (2000) 77-95

e-Print:

hep-th/9803265 [hep-th]

DOI:

10.1007/s002200050016

Report number:

CERN-TH-98-83,
HUTP-98-A008,
ITEP-TH-8-98,
NSF-ITP-98-031,
YCTP-P6-98

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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 \CN=1,

D=4,6,10

super-Yang-Mills theories with gauge group SU(N). The results are:

{1\over{N^{2}}}

for

D=4,6

,

\sum_{d | N} {1\over{d^{2}}}

for D=10. We also discuss the D=3 case.

Note:

harvmac, 24 pages; v2. references added, typos corrected; v3. one more reference added

quantum mechanics
supersymmetry
gauge field theory: SU(N)
dimensional reduction
bound state
instanton
Witten index
partition function

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