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

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

doi:10.1016/j.nuclphysb.2015.01.024

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

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

Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	54-69
Number of pages	16
Journal	Nuclear Physics B
Volume	893
DOIs	https://doi.org/10.1016/j.nuclphysb.2015.01.024
State	Published - Apr 1 2015

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2015.01.024

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title = "The curious case of large-N expansions on a (pseudo)sphere",

abstract = "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.",

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AU - Polyakov, Alexander M.

AU - Saleem, Zain H.

AU - Stokes, James

PY - 2015/4/1

Y1 - 2015/4/1

N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/84922576086#tab=citedBy

U2 - 10.1016/j.nuclphysb.2015.01.024

DO - 10.1016/j.nuclphysb.2015.01.024

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VL - 893

SP - 54

EP - 69

JO - Nuclear Physics B

JF - Nuclear Physics B

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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