Novel construction of boundary states in coset conformal field theories
| Autor: | Taro Tani, Hiroshi Ishikawa |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Pure mathematics Conformal field theory Diagonal FOS: Physical sciences Boundary (topology) Conformal map Field (mathematics) Tensor product High Energy Physics - Theory (hep-th) Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Coset Embedding |
| Zdroj: | Nuclear Physics B. 649:205-242 |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/s0550-3213(02)01011-8 |
| Popis: | We develop a systematic method to solve the Cardy condition for the coset conformal field theory G/H. The problem is equivalent to finding a non-negative integer valued matrix representation (NIM-rep) of the fusion algebra. Based on the relation of the G/H theory with the tensor product theory G x H, we give a map from NIM-reps of G x H to those of G/H. Our map provides a large class of NIM-reps in coset theories. In particular, we give some examples of NIM-reps not factorizable into the G and the H sectors. The action of the simple currents on NIM-reps plays an essential role in our construction. As an illustration of our procedure, we consider the diagonal coset SU(2)_5 x SU(2)_3 /SU(2)_8 to obtain a new NIM-rep based on the conformal embedding su(2)_3 \oplus su(2)_8 \subset sp(6)_1. 43 pages, 6 figures; (v2) arguments about the actions of simple currents on NIM-reps modified. references added; (v3) misplaced figure corrected |
| Databáze: | OpenAIRE |
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