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Multi-matrix correlators and localization.
- Source :
-
Journal of High Energy Physics . Apr2024, Vol. 2024 Issue 4, p1-33. 33p. - Publication Year :
- 2024
-
Abstract
- We study generating functions of 1 4 -BPS states in N = 4 super Yang-Mills at finite N by attempting to generalize the Harish-Chandra-Itzykson-Zuber integral to multiple commuting matrices. This allows us to compute the overlaps of two or more generating functions; such calculations arise in the computation of two-point correlators in the free-field limit. We discuss the four-matrix HCIZ integral in the U(2) context and lay out a prescription for finding a more general formula for N > 2. We then discuss its connections with the restricted Schur polynomial operator basis. Our results generalize readily to arbitrary numbers of matrices, opening up the opportunity to study more generic BPS operators. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CORRELATORS
*POLYNOMIAL operators
*GENERATING functions
*GENERALIZED integrals
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2024
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 177351562
- Full Text :
- https://doi.org/10.1007/JHEP04(2024)030