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Gustafson integrals for $SL(2,\mathbb{C})$ spin magnet

Mathematical Physics 2017-08-02 v1 High Energy Physics - Theory math.MP

Abstract

It was observed recently that the multidimensional Mellin--Barnes integrals (Gustafson's integrals) arise naturally in studies of the SL(2,R)SL(2,R) spin chain models. We extend this analysis to the noncompact SL(2,C)SL(2,\mathbb{C}) spin magnets and obtain integrals which generalize Gustafson's integrals to the complex case.

Keywords

Cite

@article{arxiv.1612.00727,
  title  = {Gustafson integrals for $SL(2,\mathbb{C})$ spin magnet},
  author = {S. E. Derkachov and A. N. Manashov and P. A. Valinevich},
  journal= {arXiv preprint arXiv:1612.00727},
  year   = {2017}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-22T17:11:51.158Z