Published July 21, 2017 | Version v1
Journal article

Gustafson integrals for S L ( 2 , C ) spin magnet

  • 1. St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, 191023 St. Petersburg (Russian Federation)
  • 2. Institut für Theoretische Physik, Universität Hamburg D-22761 Hamburg (Germany)

Description

It was observed recently that multidimensional Mellin–Barnes integrals (Gustafson's integrals) arise naturally in studies of SL(2, R) spin chain models. We extend this analysis to noncompact S L ( 2 , C ) spin magnets and obtain an integral which generalizes Gustafson's integrals to the complex case. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8121/aa7480

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
50
Journal Issue
29
Journal Page Range
[12 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51027154
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
INTEGRALS; MAGNETS; SL GROUPS; SPIN
Descriptors DEC
ANGULAR MOMENTUM; EQUIPMENT; LIE GROUPS; PARTICLE PROPERTIES; SYMMETRY GROUPS