Chinese Physics C > 2002, Vol. 26 > Issue(S1): 47-53

Boundary Reflection Factor of the Supersymmetric Sinh-Gordon Model

Medina Ablikim^,,
Edward Corrigan^,

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 10039, China2 Department of Mathematics, University of York, Heslington, York YO10 5DD, UK

Abstract
HTML
Reference
Related

PDF

Abstract：
The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted to a half-line contain several novel features and are developed as prerequisites for the calculations.

References

[1]

Olshanetsky M A. Commun. Math. Phys., 1983, 88: 63; Evans J M, Madsen J O. Phys. Lett., 1996, B389: 665; Evans J M, Hollowood T J. Nucl. Phys., 1991, B352: 723; Papadopoulos G. Phys. Lett, 1996, B36S: 98; Penati S, Zanon D. Phys. Lett., 1992, B288: 2972 Hruby J. Nucl. Phys., 1977, B131: 275; di Vecchia P, Ferrara S. Nucl. Phys., 1977, B130: 93 3 Shankar R, Witten E. Phys. Rev., 1978, D17; 21344 Schoutens K. Nucl. Phys., 1990, B344: 665 5 Inami T, Odake S, ZHANG Z–Y. Phys. Lett., B359: 1186 Ghoshal S, Zamolodchikov A B. Int. J. Mod. Phys., 1994, A9: 3841 7 Moriconi M, Schoutens K. Nucl. Phys., 1997, B487: 756 8 Corrigan E. Int. J. Mod. Phys., 1998, A13: 27099 Ghoshal S. Int. J. Mod. Phys., 1994, A9: 480110 Corrigan E, Delius G W. J. Phys., 1999, A32: 8601 11 Ablikim M, Corrigan E. Int. J. Mod. Phys., 2001, A16: 625

[1]	WANG Jian-Hua,LI Kang,Dulat Sayipjamal,. Klein-Gordon oscillators in noncommutative phase space. Chinese Physics C, 2008, 32(10): 803-806.doi:10.1088/1674-1137/32/10/007
[2]	ZHANG Ai-Ping,QIANG Wen-Chao. Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[3]	BAI Hong-Bo,ZHANG Jin-Fu,ZHOU Xian-Rong. Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM. Chinese Physics C, 2005, 29(8): 752-756.
[4]	CHEN Yong-Jing,CHEN Yong-Shou,ZHU Sheng-Jiang,GAO Zao-Cun. Reflection-Asymmetric Shell Model Description of the Nuclei^221,223Ra. Chinese Physics C, 2004, 28(S1): 40-42.
[5]	YAN Jun,TAO Bi-You. A Electric Sine-Gordon Soliton Solution in Two-Dimensional Dilaton Gravity Model. Chinese Physics C, 2003, 27(9): 767-769.
[6]	GAO Zao-Chun,CHEN Yong-Shou. Reflection Asymmetric Shell Model and Its Description of the Octupole Deformed Bands in Ra Isotopes. Chinese Physics C, 2000, 24(S1): 54-58.
[7]	Shi Kangiie,Li Guangliang,Fan Heng,Hou Boyu. Multi-Parameter Solution to the Reflection Equation of Z_nBelavin Model. Chinese Physics C, 1999, 23(5): 425-435.
[8]	Xi Xiaoqiang,Shi Kangjie,Hou Boyu,Fan Heng. Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background. Chinese Physics C, 1999, 23(10): 961-979.
[9]	Zhao Liu. Oscillator Algebra With Reflecting Boundary and Generalized Statistics. Chinese Physics C, 1997, 21(1): 25-33.
[10]	Chen Min,Hou Boyu,Shi Kangjie. Reflection Matrix of ZⁿBelavin Model. Chinese Physics C, 1996, 20(9): 794-800.
[11]	Yue Ruihong,Liang Hong. Integrability and Boundary Conditions of Supersymmetric Systems. Chinese Physics C, 1996, 20(6): 514-521.
[12]	Zhao Liu. Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(2): 119-126.
[13]	Zhao Liu. Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(1): 20-26.
[14]	ZHAO Liu. From Integrability to Conformal Symmetry: Bosonic Superconformal Toda Theories. Chinese Physics C, 1993, 17(5): 431-443.
[15]	LUO Yu-Bing,HU Shi-Ke. THE SYMMETRY BREAKING OF THE SUPERSTRING-INSPIRED MODEL. Chinese Physics C, 1990, 14(2): 118-125.
[16]	WANG Yong-Jiang. THE CONSTRUCTION OF A TWO-LOOP FINITE SUPERSYMMETRYSU(5) MODEL. Chinese Physics C, 1988, 12(1): 19-22.
[17]	DAI An-Ying. LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS. Chinese Physics C, 1987, 11(5): 620-628.
[18]	SU Jun-Chen,WU Shi-Shu. GORDON DECOMPOSITIONS FOR γ-TYPE MATRICES AND SOME OF THEIR APPLICATIONS. Chinese Physics C, 1987, 11(5): 644-652.
[19]	HUANG Nian-Ning. ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[20]	WU Yong-Shi,GE Mo-Lin. THE GEOMETRIC MEANING OF THE RICCATI EQUATION RELATED TO SINE-GORDON EQUATION. Chinese Physics C, 1983, 7(5): 560-564.

Access

Get Citation

Medina Ablikim and Edward Corrigan. Boundary Reflection Factor of the Supersymmetric Sinh-Gordon Model[J]. Chinese Physics C, 2002, 26(S1): 47-53.

Medina Ablikim and Edward Corrigan. Boundary Reflection Factor of the Supersymmetric Sinh-Gordon Model[J]. Chinese Physics C, 2002, 26(S1): 47-53. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(5799)
PDF Downloads(518)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Boundary Reflection Factor of the Supersymmetric Sinh-Gordon Model

Medina Ablikim^,
Edward Corrigan^,

Corresponding author:Medina Ablikim,

Corresponding author:Edward Corrigan,

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 10039, China2 Department of Mathematics, University of York, Heslington, York YO10 5DD, UK

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:2002-06-24

Abstract:The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted to a half-line contain several novel features and are developed as prerequisites for the calculations.