INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL

HAO San-Ru; LI Wei

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(4) : 320-327

INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL

HAO San-Ru ^, ,
LI Wei

Institute of Modern Physics,Northwest University,Xian

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Abstract：
This paper shows a new symmetric transformation——C transformation in super principal chiral model and discover an infinite dimensional Lie algebra related to the Virasoro algebra without central extension.By using the Riemann-Hibert transformation.The physical origination of C transformation is discussed.

References

[1]

L. Dolan and A. Roos, Physical Rev., D22(1980), 2018.[2] B. Y. Hou Yale preprint 80-29(1930) (unpublished). B. Y. Hou, hi. L. Ge and S. Y. Wu, Phys. Rev, D24(1981), 2238.[3] L. Dolan, Phys. Rev. Lerr., 47(1981), 1371.[4] M. L. Ge and Y. S. Wu Phys., Lett., B108 (1982), 411.[5] C. Devchand and D. B. Fairlie, Nucl. Phys., B194 (1982), 232.[6] K. Ueno and Y. Nakamura, Phys., B117(1982), 208.[7] Y. S. Wu, Nucl. Phys., B211 (1983), 160; Commum. Meth. Phys., 90(1983), 461.[8] P. Forgacs, Z. Haruath and P. Palla, Phys. Rev., D23(1981), 1876.[9] L. L. Chau, M. L. Ge and Y. S. Wu, Phys. Rev., D25(1982), 1086; 1080.[10] K. Ueno and Y. Nakamura, Phys. Lett,, B109(1982), 273.[11] L. L. Chau and Y. S. Wu, Phys. Rev., D26(1982), 3581.[12] L. L. Chau, M. L. Ge, A. Sinha and Y. S. Wu, Phys, Lett., B121(1983), 391.[13] R. Geroch, J. Math. Phys,, 12(1971), 918; 13(1972), 394.[14] W. Kinncrsley and D. M. Chitte, J. Marh. Phys., 18(1977), 1926;19(1978), 1926.[15] L. Hauser and F. J. Frnst, J. Marh. Phys., 21(1980), 1126.[16] Y. S. Wu and M. L. Ge, J . Marh. Phys, 24(1983), 1187.[17] B. Y. Hou and W. Li, to appear in proceding of integrable problm in Naikei University (published in Singapore).[18] B. Y. Hou and W. Li, to appear in J. Phys. A. Marh. Gen., 20(1987).[19] P. Goddard and D. Olive, Intern. J. Mod. Phys, A1 (1986), 303.[20] Z. Popowicz and L. L. Chau Wang, Phys. Lett, B98(1981), 253.[21] B. Y. Hou, B. Y. Hou and P. Wang, Intern. J. Mod., Al. No. 1 (1986), 193.[22] B. Y. Hou and W. Li, Lett. Moth Phys, 13(1987), 1.[23] B. Y. Hou and W. Li, NWU-IMP-86-7, (1986).[24] 侯伯字、李卫，高能物理与核物理，Vol, 11(1987),137.

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HAO San-Ru and LI Wei. INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL[J]. Chinese Physics C, 1989, 13(4): 320-327.

HAO San-Ru and LI Wei. INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL[J]. Chinese Physics C, 1989, 13(4): 320-327. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL

HAO San-Ru ^,
LI Wei

Corresponding author: HAO San-Ru,

Institute of Modern Physics,Northwest University,Xian

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-04-05

Abstract: This paper shows a new symmetric transformation——C transformation in super principal chiral model and discover an infinite dimensional Lie algebra related to the Virasoro algebra without central extension.By using the Riemann-Hibert transformation.The physical origination of C transformation is discussed.