CORRELATION FUNCTIONS FOR TOPOLOGICAL LANDAU-GINZBURG MODELS WITH c≤3

• Published in: International journal of modern physics. A, Particles and fields, gravitation, cosmology Vol. 7; no. 25; pp. 6215 - 6244
• Main Authors: KLEMM, ALBRECHT, THEISEN, STEFAN, SCHMIDT, MICHAEL G.
• Format: Journal Article
• Language: English
• Published: United States World Scientific Publishing Company 10.10.1992
• Subjects: 661100 > Classical & Quantum Mechanics > (1992-); ANALYTICAL SOLUTION; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONFORMAL INVARIANCE; COORDINATES; CORRELATION FUNCTIONS; COUPLING CONSTANTS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; FUNCTIONS; GINZBURG-LANDAU THEORY; INVARIANCE PRINCIPLES; MATHEMATICS 662110 > General Theory of Particles & Fields > Theory of Fields & Strings > (1992-); METRICS; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; POTENTIALS; TOPOLOGY; TRANSFORMATIONS
• ISSN: 0217-751X; 1793-656X
• DOI: 10.1142/S0217751X92002817

We discuss c≤3 topological Landau-Ginzburg models. In particular we give the potential for the three exceptional models E6,7,8 in the constant metric coordinates of coupling constant space and derive the generating function F for correlation functions. For the c=3 torus cases with one marginal deformation and relevant perturbations, we derive and solve the differential equation resulting from flatness of coupling constant space. We perform the transformation to constant metric coordinates and calculate the generating function F. Comparing the three-point correlation functions with those of orbifold superconformal field theory, we find agreement. We finally demonstrate that the differential equations derived from flatness of coupling constant space are the same as the ones satisfied by the periods of the tori.