Scientific article
Open access

Ground state wavefunctions of elliptic relativistic integrable Hamiltonians

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

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.

  • Dimension: 6
  • Model: integrability
  • Compactification
  • Ground state
  • Flux
  • Riemann surface
  • Wave function
  • Infrared
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
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Article (Published version)
ISSN of the journal0550-3213

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