RAMOND SECTOR CHARACTERS AND N = 2 LANDAU-GINZBURG MODELS

Citation
P. Difrancesco et S. Yankielowicz, RAMOND SECTOR CHARACTERS AND N = 2 LANDAU-GINZBURG MODELS, Nuclear physics. B, 409(1), 1993, pp. 186-210
Citations number
49
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
409
Issue
1
Year of publication
1993
Pages
186 - 210
Database
ISI
SICI code
0550-3213(1993)409:1<186:RSCAN=>2.0.ZU;2-O
Abstract
We give a direct proof of the new ''product'' expression for the Ramon d sector characters of N = 2 minimal models recently suggested by Witt en. Our construction allows us to generalize these expressions to the D and E series of N = 2 minimal models, as well as to other N = 2 Kaza ma-Suzuki coset models such as SU(N) x SO(2(N - 1))/SU(N - 1) x U(1). We verify that these expressions indeed coincide with the correspondin g Landau-Ginzburg ''elliptic genus'', a certain topologically invarian t twisted path integral with the effective Landau-Ginzburg action, whi ch we obtain by using Witten's method. We indicate how our approach ma y be used to construct (or rule out) possible Landau-Ginzburg potentia ls for describing other N = 2 superconformal theories.