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

Feb, 1998
20 pages
Published in:
  • Commun.Math.Phys. 198 (1998) 689-703
e-Print:
Report number:
  • ITEP-TH-9-98,
  • HUTP-98-A004,
  • DAVIS-02-98

Citations per year

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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 kk D0D0-branes bound to NN D4D4-branes by the expectation value of the BB 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)(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