TY - JOUR
T1 - Path integral bosonization of massive GNO fermions
AU - Park, Q. Han
AU - Shin, H. J.
N1 - Funding Information:
This work was supported in part by the program of Basic Science Research, Ministry of Education BSRI-96-2442, and by Korea Science and Engineering Foundation through CTP/SNU.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1997/11/24
Y1 - 1997/11/24
N2 - We show the quantum equivalence between certain symmetric space sine-Gordon models and the massive free fermions. In the massless limit, these fermions reduce to the free fermions introduced by Goddard, Nahm and Olive (GNO) in association with symmetric spaces K/G. A path integral formulation is given in terms of the Wess-Zumino-Witten action where the field variable g takes value in the orthogonal, unitary, and symplectic representations of the group G in the basis of the symmetric space. We show that, for example, such a path integral bosonization is possible when the symmetric spaces K/G are SU(N) × SU(N)/SU(N); N ≤ 3, Sp(2)/U(2) or SO(8)/U(4). We also address the relation between massive GNO fermions and the non-Abelian solitons, and explain the restriction imposed on the fermion mass matrix due to the integrability of the bosonic model.
AB - We show the quantum equivalence between certain symmetric space sine-Gordon models and the massive free fermions. In the massless limit, these fermions reduce to the free fermions introduced by Goddard, Nahm and Olive (GNO) in association with symmetric spaces K/G. A path integral formulation is given in terms of the Wess-Zumino-Witten action where the field variable g takes value in the orthogonal, unitary, and symplectic representations of the group G in the basis of the symmetric space. We show that, for example, such a path integral bosonization is possible when the symmetric spaces K/G are SU(N) × SU(N)/SU(N); N ≤ 3, Sp(2)/U(2) or SO(8)/U(4). We also address the relation between massive GNO fermions and the non-Abelian solitons, and explain the restriction imposed on the fermion mass matrix due to the integrability of the bosonic model.
KW - Bosonization
KW - Conformal field theory
KW - Non-Abelian sine-Gordon theory
KW - Soliton
UR - http://www.scopus.com/inward/record.url?scp=0031585609&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031585609&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(97)00539-7
DO - 10.1016/S0550-3213(97)00539-7
M3 - Article
AN - SCOPUS:0031585609
VL - 506
SP - 537
EP - 547
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-2
ER -