Ramond sector characters and N = 2 Landau-Ginzburg models
Creators
- 1. Service de Physique Theorique de Saclay, 91 Gif sur Yvette (France)
- 2. School of Physics and Astronomy, Beverly and Raymond Sackler Faculty of Exact Sciences, Tel-Aviv Univ., Ramat-Aviv (Israel)
Description
We give a direct proof of the new ''product'' expression for the Ramond sector characters of N = 2 minimal models recently suggested by Witten. 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 Kazama-Suzuki coset models such as SU(N)xSO(2(N-1))/SU(N-1)xU(1). We verify that these expressions indeed coincide with the corresponding Landau-Ginzburg ''elliptic genus'', a certain topologically invariant twisted path integral with the effective Landau-Ginzburg action, which we obtain by using Witten's method. We indicate how our approach may be used to construct (or rule out) possible Landau-Ginzburg potentials for describing other N = 2 superconformal theories. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 409
- Journal Issue
- 1
- Journal Page Range
- p. 186-210.
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 25019640
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ACTION INTEGRAL; CONFORMAL INVARIANCE; FEYNMAN PATH INTEGRAL; GINZBURG-LANDAU THEORY; LAGRANGIAN FIELD THEORY; NONLINEAR PROBLEMS; PARTICLE MODELS; POTENTIALS; SO GROUPS; SU-2 GROUPS; SUPERSYMMETRY; TOPOLOGY; U-1 GROUPS
- Descriptors DEC
- FIELD THEORIES; INTEGRALS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICS; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY; SYMMETRY GROUPS; U GROUPS