Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 191, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.geomphys.2023.104910
Keywords
ADHM moduli space; Donaldson Thomas invariants; Orbifolds; String and brane theory
Categories
Ask authors/readers for more resources
We study the moduli space of SU(4) invariant BPS conditions in supersymmetric gauge theory on non-commutative C4. The classification of invariant solutions under the natural toric action is given in terms of solid partitions. In the orbifold case C4/G, the classification is given in terms of coloured solid partitions. We compute several terms of the partition function expansion in the instanton counting parameter on C4 and C2 x (C2/Z2), which conjecturally provides the corresponding orbifold Donaldson-Thomas invariants.
We study the moduli space of SU (4) invariant BPS conditions in supersymmetric gauge theory on non-commutative C4 by means of an ADHM-like quiver construction and we classify the invariant solutions under the natural toric action in terms of solid partitions. In the orbifold case C4/G, G being a finite subgroup of SU (4), the classification is given in terms of coloured solid partitions. The statistical weight for their counting is defined through the associated equivariant cohomological gauge theory. We explicitly compute several terms of the partition function expansion in the instanton counting parameter on C4 and C2 x (C2/Z2), which conjecturally provides the corresponding orbifold Donaldson-Thomas invariants.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available