The curious case of large-N expansions on a (pseudo)sphere

Alexander M. Polyakov, Zain H. Saleem, James Stokes

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We elucidate the large-. N dynamics of one-dimensional sigma models with spherical and hyperbolic target spaces and find a duality between the Lagrange multiplier and the angular momentum. In the hyperbolic model we propose a new class of operators based on the irreducible representations of hyperbolic space. We also uncover unexpected zero modes which lead to the double scaling of the 1/. N expansion and explore these modes using Gelfand-Dikiy equations.

Original languageEnglish (US)
Pages (from-to)54-69
Number of pages16
JournalNuclear Physics B
StatePublished - Apr 1 2015

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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