Instantons on noncommutative R**4 and (2,0) superconformal six-dimensional theory

Nekrasov, Nikita; Schwarz, Albert S.

doi:10.1007/s002200050490

Instantons on noncommutative R**4 and (2,0) superconformal six-dimensional theory

Nikita Nekrasov
(
- Moscow, ITEP and
- Harvard U.
)
,
Albert S. Schwarz
(
- UC, Davis
)

Feb, 1998

20 pages

Published in:

Commun.Math.Phys. 198 (1998) 689-703

e-Print:

hep-th/9802068 [hep-th]

DOI:

10.1007/s002200050490

Report number:

ITEP-TH-9-98,
HUTP-98-A004,
DAVIS-02-98

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Abstract:

We show that the resolution of moduli space of ideal instantons parameterizes the instantons on non-commutative \IR^{4}. This moduli space appears as a Higgs branch of the theory of

k

D0

-branes bound to

N

D4

-branes by the expectation value of the

B

field. It also appears as a regularized version of the target space of supersymmetric quantum mechanics arising in the light cone description of

(2,0)

superconformal theories in six dimensions.

Note:

harvmac, 21 page; refs added, more details on Nahm's transform, formulae for abelian instantons corrected Report-no: ITEP-TH-9/98, HUTP- 98/A004, Davis-02/98

space-time
gauge field theory: Yang-Mills
instanton
moduli space
differential geometry: noncommutative
dimension: 6

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