Multiinstanton calculus and equivariant cohomology

Bruzzo, Ugo; Fucito, Francesco; Morales, Jose F.; Tanzini, Alessandro

doi:10.1088/1126-6708/2003/05/054

Multiinstanton calculus and equivariant cohomology

Ugo Bruzzo
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Francesco Fucito
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
Jose F. Morales
(
- Utrecht U. and
- Frascati
)
,
Alessandro Tanzini
(
- Paris, LPTHE
)

Nov, 2002

30 pages

Published in:

JHEP 05 (2003) 054

e-Print:

hep-th/0211108 [hep-th]

DOI:

10.1088/1126-6708/2003/05/054

Report number:

ROM2F-2002-27,
SISSA-75-2002-FM,
PAR-LPTHE-02-54,
STR-02-042

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Abstract:

We present a systematic derivation of multi-instanton amplitudes in terms of ADHM equivariant cohomology. The results rely on a supersymmetric formulation of the localization formula for equivariant forms. We examine the cases of N=4 and N=2 gauge theories with adjoint and fundamental matter.

gauge field theory: U(N)
supersymmetry
partition function
instanton
cohomology
geometry: algebra

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