[NCTS-NTU String Theory Seminar] M2-branes and plane partitions

Title: [NCTS-NTU String Theory Seminar] M2-branes and plane partitions
Speaker: Dr. Tadashi Okazaki (KIAS)
Time: June 17, 2022 (Fri) 14:30-15:30
Venue: Online
Meeting Link: https://nationaltaiwanuniversity-zbh.my.webex.com/nationaltaiwanuniversity-zbh.my/j.php?MTID=mf77b1c194d7d57768d2db53dc42697a0

​​​​​​​There is a correspondence between the protected local operators in the 3d superconformal field theory (SCFT) describing the geometry probed by a stack of M2-branes and plane partitions, two-dimensional arrays of integers. I will show that several observables in the M2-brane SCFT, including a sphere partition function and a supersymmetric index can be expressed in terms of generating functions for plane partitions. If time permits, I also discuss the asymptotic behaviors of the grand potential in the high-temperature limit and the scaling dimension in the large N limit.