Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-11-28
JHEP 0103 (2001) 040
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, JHEP.cls, some extra comments and typos fixed
Scientific paper
10.1088/1126-6708/2001/03/040
The D-instanton partition function is a fascinating quantity because in the presence of N D3-branes, and in a certain decoupling limit, it reduces to the functional integral of N=4 U(N) supersymmetric gauge theory for multi-instanton solutions. We study this quantity as a function of non-commutativity in the D3-brane theory, VEVs corresponding to separating the D3-branes and alpha'. Explicit calculations are presented in the one-instanton sector with arbitrary N, and in the large-N limit for all instanton charge. We find that for general instanton charge, the matrix theory admits a nilpotent fermionic symmetry and that the action is Q-exact. Consequently the partition function localizes on the minima of the matrix theory action. This allows us to prove some general properties of these integrals. In the non-commutative theory, the contributions come from the ``Higgs Branch'' and are equal to the Gauss-Bonnet-Chern integral of the resolved instanton moduli space. Separating the D3-branes leads to additional localizations on products of abelian instanton moduli spaces. In the commutative theory, there are additional contributions from the ``Coulomb Branch'' associated to the small instanton singularities of the instanton moduli space. We also argue that both non-commutativity and alpha'-corrections play a similar role in suppressing the contributions from these singularities. Finally we elucidate the relation between the partition function and the Euler characteristic of the instanton moduli space.
Dorey Nick
Hollowood Timothy J.
Khoze Valentin V.
No associations
LandOfFree
The D-Instanton Partition Function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The D-Instanton Partition Function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The D-Instanton Partition Function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-115143