Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2

Yan Jun; Tao Biyou; Wang Shunjin

Chinese Physics C> 1999, Vol. 23> Issue(7) : 655-664

Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2

Institute of Modern Physics, Southwest Jiao-Tong University Chengdu 6100312 Technology Institute of Box77, Chengdu 610066

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Abstract：
A Bosonic string model at finite temperature on the gravition g_μv and the dilaton φ background field is examined. Moreover, the duality relation of energy momentum tensor on high genus Riemann surface is derived. At the same time, the temperature duality invariance for the action of string gas matter is proved in 4-D Robertson-Walker metric, the string cosmological solutions and tomperature duality of the equations of motion for genus g=1 and 2 are also investigated.

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[1]

Giveon A, Porrati M, Rabinovici E. Phys. Rep., 1994, 244: 77–2022 Seiberg N, Witten E. Nucl. Phys., 1994, B426:19–253 Vafa C, Witten E. Nucl. Phys., 1994, B431:3–7 4 Schwarz A S, Tseytlin A A. Nucl. Phys., 1993, B399: 691–7085 Duff M J, Khuri R R. Nucl. Phys., 1994, B411: 473–486 6 Alvarez E, Alvarez–Gaume L, Barbon J L F et al. Nucl. Phys., 1994, B415: 71–100 7 Lauer J, Zucchini R. Phys. Lett., 1990, B235: 268–274 8 Alvarez E, Alvarez–Gaume L, Lozano Y. Nucl. Phys., 1994, B424: 155–183 9 Horowitz G T, Lowe D A, Maldacenc J M. Phys. Rev. Lett., 1996, 77: 430–433 10 Guendelman E I. Gen. Rel. Grav., 1991, 23: 521–525 11 Mirtinec E. Class. Quantu. Grav., 1995, 12:941–949 12 Verlinde E. Nucl. Phys., 1995, B455:211–225 13 Harvey J A, Moore G, Strominger A. Phys. Rev., 1995, D52: 7161–716714 Alvarez E, Osorio M A K Phys. Rev., 1989, D40:1150–1152 15 Hellmund M, Kripfganz J. Phys. Lett., 1990, B241: 211–21416 Yan Jun, Hu Shike. High Energy Phys. and Nucl. Phys. (in Chinese), 1991, 15:414–419 (颜骏, 胡诗可. 高能物理与核物理,1991,15:414–419) 17 Yan Jun, Hu Shike. High Energy Phys. and Nucl. Phys. (in Chinese), 1993, 17: 534–537 (颜骏, 胡诗可, 高能物理与核物理,1993,17;534–537)18 Rajagopal A K. Amer. Math. Monthly, 1961, 68:777–779 19 Li Hong–Xiang. Amer. Math. Monthly, 1982, 89: 198–208 20 Osorio M A R, Vazquez–mozo M A. Mod. Phys. Lett, 1993, A8: 3111–312821 Osorio M A R. Vazquez–mozo M A. Mod. Phys. Lett, 1993, A8: 3215–3231 22 Gibbons G W, Rasheed D A. Phys. Lett., 1996, B365: 46–5023 gregory R. Nucl. Phys., 1996, B467: 159–18224 Gasperini M, Maharana J, Veneziano G. Nucl. Phys., 1996, B472:349–360 25 Gasperini M, Veneziano G. Gen. Rel. Grav., 1996, 28: 1301–130726 Tao Biyou, Yan Jun, Qiu Xiaoming. High Energy Phys. and Nucl. Phys. (in Chinese), 1998, 9: 812–818(陶必友, 颜骏, 邱孝明. 高能物理与核物理, 1998,9:812–818)

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[7]	Zhao Yumin , Gu Jinnan . Effective Boson Number in IBM-2 and its Application in Even-Even Nuclear Systematics Study. Chinese Physics C, 1995, 19(6): 548-553.
[8]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[9]	SHEN Kun , QIU Zhongping . Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(11): 993-1001.
[10]	YAN Jun , HU Shi-Ke . The Modular Duality of Specific Heat on Genus g Riemann Surface. Chinese Physics C, 1993, 17(6): 534-537.
[11]	CHEN Yi-Xin , GAO Hong-Bo . Integrability of Liouville System on High Genus Riemann Surface.Ⅰ. Classical Case. Chinese Physics C, 1992, 16(4): 323-334.
[12]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[13]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[14]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE STRING TENSION OF 2+1 DIMENSIONAL SU(2) GAUGE THEORIES. Chinese Physics C, 1989, 13(7): 670-672.
[15]	ZHU Zhong-Yuan , ZHANG Bo . TADPOLE DIAGRAM,ΔI=1/2 ENHANCEMENT AND ε′/ε. Chinese Physics C, 1988, 12(1): 50-54.
[16]	YUE Rui-Hong . SOLUTION OF CHIRAL QCD₂ IN 1+1 DIMENSIONAL CURVED SPACETIME. Chinese Physics C, 1988, 12(5): 593-600.
[17]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[18]	SONG Xiao-Tong , CHING Cheng-Rui , HO Tso-Hsiu . APPROXIMATE B.S. WAVE FUNCTIONS FOR AN ELECTROMAGNETIC BOUND SYSTEM OF SPINS (1/2, 1/2) OR (1/2, 1/2) WITH UNEQUAL MASSES. Chinese Physics C, 1984, 8(5): 531-538.
[19]	HOU BO-YU , HOU BO-YUAN . STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT. Chinese Physics C, 1979, 3(3): 225-265.
[20]	WANG YUN-KONG , CHANG KUO-TIU , HOU BO-YU . A SERIES OF SOURCELESS SOLUTION OF SU(2) GAUGE FIELDS——THE SU(2) AND U(1) POTENTIAL OF STATIC MONOPOLE SYSTEMS. Chinese Physics C, 1978, 2(4): 368-370.

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Yan Jun, Tao Biyou and Wang Shunjin. Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2[J]. Chinese Physics C, 1999, 23(7): 655-664.

Yan Jun, Tao Biyou and Wang Shunjin. Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2[J]. Chinese Physics C, 1999, 23(7): 655-664. shu

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Received: 1998-05-20
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

Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2

Corresponding author: Yan Jun,

Institute of Modern Physics, Southwest Jiao-Tong University Chengdu 6100312 Technology Institute of Box77, Chengdu 610066

Received Date: 1998-05-20

Accepted Date: 1900-01-01

Available Online: 1999-07-05

Abstract: A Bosonic string model at finite temperature on the gravition g_μv and the dilaton φ background field is examined. Moreover, the duality relation of energy momentum tensor on high genus Riemann surface is derived. At the same time, the temperature duality invariance for the action of string gas matter is proved in 4-D Robertson-Walker metric, the string cosmological solutions and tomperature duality of the equations of motion for genus g=1 and 2 are also investigated.

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Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2

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