Boundary RG Flows of N=2 Minimal Models

Abstract

We study boundary renormalization group flows of N=2 minimal models using Landau-Ginzburg description of B-type. A simple algebraic relation of matrices is relevant. We determine the pattern of the flows and identify the operators that generate them. As an application, we show that the charge lattice of B-branes in the level k minimal model is Z_{k+2}. We also reproduce the fact that the charge lattice for the A-branes is Z^{k+1}, applying the B-brane analysis on the mirror LG orbifold.

29 pages

References in corpus (16)

• Rolling Tachyon
• D-Branes And K-Theory
• Tachyon Condensation on the Brane Antibrane System
• D-Branes And Mirror Symmetry
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Strings from Tachyons
• Exact solution of a massless scalar field with a relevant boundary interaction
• Free Fermion Representation of a Boundary Conformal Field Theory
• On the relevance of tachyons
• Orientifolds of Gepner Models
• Supersymmetry in Boundary Integrable Models
• Linear Models of Supersymmetric D-Branes
• On the boundary coupling of topological Landau-Ginzburg models
• Worldsheet approaches to D-branes on supersymmetric cycles
• New Results on the "$a$-theorem" in Four Dimensional Supersymmetric Field Theory
• Landau-Ginzburg Description of Boundary Critical Phenomena in Two Dimensions

Cited by in corpus (15)

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• F-term equations near Gepner points
• Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings
• D-branes from Matrix Factorizations
• D-branes and Normal Functions
• D-brane effective action and tachyon condensation in topological minimal models
• The RR charges of A-type Gepner models
• Tachyon Condensation on the Elliptic Curve
• D-branes in Toroidal Orbifolds and Mirror Symmetry
• K-theoretical boundary rings in N=2 coset models
• On the Geometry and Homology of Certain Simple Stratified Varieties
• D-Brane Charges in Gepner Models
• Triangle-generation in topological D-brane categories
• Nonabelian mirrors and Gromov-Witten invariants
• Topological defects in string theory orbifolds with target spaces $\mathbb{C}/{\mathbb{Z}}_N$ and $S^1/{\mathbb{Z}}_2$