Connection between cut-and-join and Casimir operators

We study cut-and-join operators for spin Hurwitz partition functions. We provide explicit expressions for these operators in terms of derivatives in p-variables without straightforward matrix realization, which is yet to be found. With the help of these expressions spin cut-and-join operators can be...

Full description

Bibliographic Details
Main Authors:	A. Mironov, A. Morozov, A. Zhabin
Format:	Article
Language:	English
Published:	Elsevier 2021-11-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269321006080

id	doaj-62610d1c05f648bc87fe39dbc4ddde72
record_format	Article
spelling	doaj-62610d1c05f648bc87fe39dbc4ddde722021-09-29T04:22:48ZengElsevierPhysics Letters B0370-26932021-11-01822136668Connection between cut-and-join and Casimir operatorsA. Mironov0A. Morozov1A. Zhabin2Lebedev Physics Institute, Moscow 119991, Russia; Institute for Theoretical and Experimental Physics, Moscow 117218, Russia; Institute for Information Transmission Problems, Moscow 127994, Russia; Corresponding author.Moscow Institute of Physics and Technology, Dolgoprudny 141701, Russia; Institute for Theoretical and Experimental Physics, Moscow 117218, Russia; Institute for Information Transmission Problems, Moscow 127994, RussiaMoscow Institute of Physics and Technology, Dolgoprudny 141701, Russia; Institute for Theoretical and Experimental Physics, Moscow 117218, RussiaWe study cut-and-join operators for spin Hurwitz partition functions. We provide explicit expressions for these operators in terms of derivatives in p-variables without straightforward matrix realization, which is yet to be found. With the help of these expressions spin cut-and-join operators can be calculated directly and algorithmically. The reason why it is possible is the connection between mentioned operators and specially chosen Casimir operators that are easy to compute. An essential part of the connection involves shifted Q-Schur functions.http://www.sciencedirect.com/science/article/pii/S0370269321006080
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Mironov A. Morozov A. Zhabin
spellingShingle	A. Mironov A. Morozov A. Zhabin Connection between cut-and-join and Casimir operators Physics Letters B
author_facet	A. Mironov A. Morozov A. Zhabin
author_sort	A. Mironov
title	Connection between cut-and-join and Casimir operators
title_short	Connection between cut-and-join and Casimir operators
title_full	Connection between cut-and-join and Casimir operators
title_fullStr	Connection between cut-and-join and Casimir operators
title_full_unstemmed	Connection between cut-and-join and Casimir operators
title_sort	connection between cut-and-join and casimir operators
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2021-11-01
description	We study cut-and-join operators for spin Hurwitz partition functions. We provide explicit expressions for these operators in terms of derivatives in p-variables without straightforward matrix realization, which is yet to be found. With the help of these expressions spin cut-and-join operators can be calculated directly and algorithmically. The reason why it is possible is the connection between mentioned operators and specially chosen Casimir operators that are easy to compute. An essential part of the connection involves shifted Q-Schur functions.
url	http://www.sciencedirect.com/science/article/pii/S0370269321006080
work_keys_str_mv	AT amironov connectionbetweencutandjoinandcasimiroperators AT amorozov connectionbetweencutandjoinandcasimiroperators AT azhabin connectionbetweencutandjoinandcasimiroperators
_version_	1716864863767101440

Connection between cut-and-join and Casimir operators

Similar Items