en
Scientific article
Open access
English

Ground state wavefunctions of elliptic relativistic integrable Hamiltonians

Published inNuclear physics. B, vol. 996, 116364
Publication date2023
Abstract

We derive ground state eigenfunctions and eigenvalues of various relativistic elliptic integrable models. The models we discuss appear in computations of superconformal indices of four-dimensional theories obtained by compactifying six-dimensional models on Riemann surfaces. These include, among others, the Ruijsenaars-Schneider model and the van Diejen model. The derivation of the eigenfunctions builds on physical inputs, such as conjectured Lagrangian across dimensions IR dualities and assumptions about the behavior of the indices in the limit of compactifications on surfaces with large genus/number of punctures/flux.

eng
Keywords
  • Dimension: 6
  • Model: integrability
  • Compactification
  • Ground state
  • Flux
  • Riemann surface
  • Wave function
  • Infrared
Funding
Citation (ISO format)
NAZZAL, Belal, NEDELIN, Anton, RAZAMAT, Shlomo S. Ground state wavefunctions of elliptic relativistic integrable Hamiltonians. In: Nuclear physics. B, 2023, vol. 996, p. 116364. doi: 10.1016/j.nuclphysb.2023.116364
Main files (1)
Article (Published version)
Identifiers
ISSN of the journal0550-3213
15views
3downloads

Technical informations

Creation04/18/2024 7:21:09 AM
First validation05/08/2024 2:15:02 PM
Update time05/08/2024 2:15:02 PM
Status update05/08/2024 2:15:02 PM
Last indexation05/08/2024 2:15:22 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack