https://doi.org/10.1140/epjc/s10052-024-12701-0
Regular Article - Theoretical Physics
UC and BUC plane partitions
School of Mathematical Sciences, Inner Mongolia University, 010021, Hohhot, Inner Mongolia, People’s Republic of China
Received:
8
February
2024
Accepted:
14
March
2024
Published online:
8
April
2024
This paper is concerned with the investigation of UC and BUC plane partitions based upon the fermion calculus approach. We construct generalized the vertex operators in terms of free charged fermions and neutral fermions and present the interlacing (strict) 2-partitions. Furthermore, it is showed that the generating functions of UC and BUC plane partitions can be written as product forms.
Mathematics Subject Classification: 17B80 / 35Q55 / 37K10
© The Author(s) 2024
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Funded by SCOAP3.
