TY - JOUR
T1 - Novel construction of boundary states in coset conformal field theories
AU - Ishikawa, Hiroshi
AU - Tani, Taro
N1 - Funding Information:
The work of T.T. is supported by the Grant-in-Aid for Scientific Research on Priority Areas (2) 14046201 from the Ministry of Education, Culture, Science, Sports and Technology of Japan.
PY - 2003/1/20
Y1 - 2003/1/20
N2 - 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 × H, we give a map from NIM-reps of G × 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 × SU(2) 3 /SU(2) 8 to obtain a new NIM-rep based on the conformal embedding su(2) 3 ⊕ su(2) 8 ⊂ sp(6) 1 .
AB - 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 × H, we give a map from NIM-reps of G × 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 × SU(2) 3 /SU(2) 8 to obtain a new NIM-rep based on the conformal embedding su(2) 3 ⊕ su(2) 8 ⊂ sp(6) 1 .
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U2 - 10.1016/S0550-3213(02)01011-8
DO - 10.1016/S0550-3213(02)01011-8
M3 - Article
AN - SCOPUS:0037454562
SN - 0550-3213
VL - 649
SP - 205
EP - 242
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -