skip to main content

DOE PAGESDOE PAGES

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

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