Work

M2-branes and plane partitions

Year: 2022
Type: article
Abstract: There is a correspondence between the protected local operators in the 3d SCFTs describing the geometry ℂ2probed by a stack ofNM2-branes and plane partitions of traceN. We give combinatorial expressions of the indices which count the local operators parametrizing ℂ2/ℤkprobed byNM2-branes in the canonical and grand canonical ensembles in terms of generating functions for plane partitions. We derive the asymptotic behaviors of the grand potential in the high-temperature limit and the scaling dimension in the largeNlimit.
Language: English
Open Access status: diamond
OpenAlex ID: W4226426490
FWCI: 0.188
Cites: 64
Cited by: 8
Related to: 10