Geometry and anomaly structure of supersymmetric sigma-models

Journal Article · Tue Mar 31 23:00:00 EST 1987 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(87)90059-5· OSTI ID:6899607

Buchmueller, W; Lerche, W

Supersymmetric sigma-models, which describe low-energy interactions of Goldstone fields arising from spontaneous symmetry breaking, correspond to non-compact, non-homogeneous Kaehler manifolds. We discuss systematically general features of this class of sigma-models in comparison with the more familiar sigma-models based on compact, homogeneous (coset) Kaehler manifolds G/H. A key property of sypersymmetric sigma-models is their hidden invariance under local H-italic-tilde transformations, where H-italic-tilde is a subgroup of the complexification G-bar of G, which characterizes the specific model. Contrary to homogeneous ones, non-homogeneous sigma-models may be supplemented with local counter terms which cancel isometry anomalies. We illustrate our general discussion by means of a sigma-model based on the coset space U(n+2)/U(n) x Su(2). copyright 1987 Academic Press, Inc.

• Research Organization: Institut fuer Theoretische Physik, Universitaet Hannover and CERN, Geneva, Switzerland
• OSTI ID: 6899607
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 175:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELEMENTARY PARTICLES
FUNCTIONS
GOLDSTONE BOSONS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PARTICLE MODELS
POSTULATED PARTICLES
SIGMA MODEL
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING