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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.

Authors:
 [1]; ORCiD logo [2];  [2]
  1. Princeton Univ., NJ (United States)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States)
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1228136
Alternate Identifier(s):
OSTI ID: 1184850
Grant/Contract Number:  
AC02-76ER03071; DOE-EY-76-02-3071
Resource Type:
Journal Article: Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 893; Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Polyakov, Alexander M., Saleem, Zain H., and Stokes, James. The curious case of large-N expansions on a (pseudo)sphere. United States: N. p., 2015. Web. doi:10.1016/j.nuclphysb.2015.01.024.
Polyakov, Alexander M., Saleem, Zain H., & Stokes, James. The curious case of large-N expansions on a (pseudo)sphere. United States. doi:10.1016/j.nuclphysb.2015.01.024.
Polyakov, Alexander M., Saleem, Zain H., and Stokes, James. Tue . "The curious case of large-N expansions on a (pseudo)sphere". United States. doi:10.1016/j.nuclphysb.2015.01.024.
@article{osti_1228136,
title = {The curious case of large-N expansions on a (pseudo)sphere},
author = {Polyakov, Alexander M. and Saleem, Zain H. and Stokes, James},
abstractNote = {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.},
doi = {10.1016/j.nuclphysb.2015.01.024},
journal = {Nuclear Physics. B},
number = C,
volume = 893,
place = {United States},
year = {Tue Feb 03 00:00:00 EST 2015},
month = {Tue Feb 03 00:00:00 EST 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.nuclphysb.2015.01.024

Citation Metrics:
Cited by: 2 works
Citation information provided by
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