TY - JOUR

T1 - Complete S-matrices of supersymmetric sine-gordon theory and perturbed superconformal minimal model

AU - Ahn, Changrim

N1 - Funding Information:
It is a pleasure to thank A. LeClair for valuable comments throughout this work, D. Bernard and again A . LeClair for the previous collaboration . Also, we thank P . Argyres, S . Chung, B . Greene, I .G . Koh, C.K. Lee, K . Shigemoto, F. Smirnov, H . Tye and M. Walton for discussions and H.S . Song for his hospitality at the Center for Theoretical Physics in Seoul National University where part of this work has been done . This work was supported in part by the National Science Foundation .

PY - 1991/4/29

Y1 - 1991/4/29

N2 - We derive the first complete S-matrices of the supersymmetric sine-Gordon theory for a general value of coupling constant. The spectrum includes not only solitons and antisolitons but also their bound states. The S-matrices are computed based on the soliton S-matrix which was obtained from the S-matrix of perturbed superconformal unitary model. After constructing a superconformal non-unitary model from the coset CFT with admissible representations, we derive the S-matrices of the perturbed superconformal non-unitary model by restricting the SSG S-matrices. We generalize these results to the theories with the fractional supersymmetries.

AB - We derive the first complete S-matrices of the supersymmetric sine-Gordon theory for a general value of coupling constant. The spectrum includes not only solitons and antisolitons but also their bound states. The S-matrices are computed based on the soliton S-matrix which was obtained from the S-matrix of perturbed superconformal unitary model. After constructing a superconformal non-unitary model from the coset CFT with admissible representations, we derive the S-matrices of the perturbed superconformal non-unitary model by restricting the SSG S-matrices. We generalize these results to the theories with the fractional supersymmetries.

UR - http://www.scopus.com/inward/record.url?scp=0003018459&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(91)90175-W

DO - 10.1016/0550-3213(91)90175-W

M3 - Article

AN - SCOPUS:0003018459

SN - 0550-3213

VL - 354

SP - 57

EP - 84

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -