Properties of Gauged Sigma Models

Abstract

Nonlinear sigma models arise in supergravity theories with or without matter couplings in various dimensions and they are important in understanding the duality symmetries of M-theory. With this motivation in mind, we review the salient features of gauged and ungauged nonlinear sigma models with or without Wess-Zumino terms for general target spaces in a minimal as well as lifted formulation. Relevant to the question of finding interesting vacua of gauged supergravity theories is the highly constrained potential which arises naturally in these theories. Motivated by this fact, we derive a general and simple formula for a gauge invariant potential of this kind.

24 pages, latex, uses sprocl.sty, contribution to the R. Arnowitt Fest: A Symposium on Supersymmetry and Gravitation, College Station, TX, 5-7 April 1998

References in corpus (1)

• The Coupling of Yang-Mills to Extended Objects

Cited by in corpus (7)

• Scalar Potential and Dyonic Strings in 6D Gauged Supergravity
• The 6D SuperSwirl
• On the Magical Supergravities in Six Dimensions
• On the Symmetric Space Sigma-Model Kinematics
• T-duality in the string theory effective action with a string source
• Semi-Invariant Terms for Gauged Non-Linear Sigma-Models
• Notes on the derivation of the general supergravity/matter/Yang-Mills Lagrangian for $N=1$ supersymmetry in $d=4$ dimensions using superspace techniques