Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2011)119
Keywords
Supersymmetry and Duality; Conformal and W Symmetry; D-branes
Categories
Funding
- MEXT, Japan [22224001]
- NSF [PHY-0969448]
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan through the Institute for the Physics and Mathematics of the Universe, the University of Tokyo
- Marvin L. Goldberger membership through the Institute for Advanced Study
- Grants-in-Aid for Scientific Research [22224001] Funding Source: KAKEN
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We describe the moduli space of SU(N) instantons in the presence of a general surface operator of type N - n(1) + ... + n(M) in terms of the representations of the so-called chain-saw quiver, which allows us to write down the instanton partition function as a summation over the fixed point contributions labeled by Young diagrams. We find that the instanton partition function depends on the ordering of n(I) which fixes a choice of the parabolic structure. This is in accord with the fact that the Verma module of the W-algebra also depends on the ordering of n(I). By explicit calculations, we check that the partition function agrees with the norm of a coherent state in the corresponding Verma module.
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