Bidimensional Supersymmetric Field Theories with Discrete Moduli Space

✍ Scribed by Luis J. Boya; Javier Casahorrán

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 396 KB
• Volume: 266
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1997.5786

✦ Synopsis

We consider bidimensional supersymmetric models for which the classical theory has a discrete set of inequivalent vacua. Once we introduce the concept of vacuum manifold V, defined in terms of all the vacuum field configurations, the properties of such models can be described by means of the classical moduli space M c (V). Quantum corrections, perturbative and nonperturbative, do not lift the vacuum degeneracy so that the quantum theory as a whole exhibits non-trivial quantum moduli space M q (V). The former structure allows us to classify the kinklike excitations into loops and links: loops interpolate smoothly between equivalent vacua while links connect vacua located at different points in M q (V).