The Modular Duality of Specific Heat on Genus g Riemann Surface

YAN Jun; HU Shi-Ke

Chinese Physics C> 1993, Vol. 17> Issue(6) : 534-537

The Modular Duality of Specific Heat on Genus g Riemann Surface

YAN Jun ^, ,
HU Shi-Ke

Department of Physics,Sichuan University,Chengdu 610064

Abstract
HTML
Reference
Related

PDF

Abstract：
The free energy on genus g Riemann surface is derived by introducing two-dimensional scalar field and using Vafa's operator approach.The modular duality relation of specific heat is also obtained.

References

[1]

E.Alvarez and M. Osorio ，Nucl.Phys.，B304 (1988)，327.[2]B.McClain and B. Roth,Comm.Math. Phys.，111 (1987)，539.[3]Y. Leblanc, Phys.Rev. Lett.、64 (1990).831.[4]E. Alvarez and M.Osorio , Phys.Rev.D40 (1989)，1150.[5]Yan Jun, Li Jiannan and Hu Shike Chin.Phys.Lett.，9 (1989) 425.[6]Yan Jun, Li liannan and Hu Shike Chin.Phys.Lett.，8 (1990) 381.[7]颜骏、胡诗可，高能物理与核物理，5 (1991), 414.[8]J. Atick and E. Witten, Nucl. Phys.，B310 (1988)，291.[9]C. Vafa, Phys. Lett.，B190 (1987)，47.[10]P. Murphy and S. Sen, Phys. Lett.，B233 (1989)，322.[11]L. Gaume, G. Moore and C. Vafa, Comm. Math. Phys.，106 (1986)，1.[12]D. Mumford, Tata lectures on theta (I)，(Birkhauser-1983).[13]A. Giveon, E. Rabinovici and G. Veneziano, Nucl. Phys.，B322 (1989)，167.

[1]	PAN Wei-Min , SUN Yi , WANG Guang-Wei , Takaaki Furuya , ichi Kurokawa . Studies on Higher Order Modes in BEPCⅡ Superconducting Cavity. Chinese Physics C, 2004, 28(3): 317-320.
[2]	PAN Wei-Min . Higher Order Modes Impedance and Damping Study for the LHC Capture Cavity. Chinese Physics C, 2002, 26(10): 1087-1092.
[3]	FANG Xiang-Zheng , RUAN Tu-Nan . Description of Ground States in Even-Even Deformed Nuclei with q-Deformed Three-Parameter Formula. Chinese Physics C, 2001, 25(3): 212-219.
[4]	Li Xiguo . New Torsion Structure on Riemann-Cartan Manifold and Knots. Chinese Physics C, 1999, 23(9): 906-913.
[5]	Yan Jun , Tao Biyou , Wang Shunjin . Temperature Duality on Riemann Surface and Cosmological Solutions for Genus g=1 and 2. Chinese Physics C, 1999, 23(7): 655-664.
[6]	Yang Kongqing , Luo Yan . Conformal Transformation and Symplectic Structure of Self-Dual Fields. Chinese Physics C, 1996, 20(9): 789-793.
[7]	Dong Yubing . Study of Proton Spin-Dependent Structures. Chinese Physics C, 1995, 19(10): 936-940.
[8]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[9]	Zhao Liu . Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(1): 20-26.
[10]	MIAO Yan-Gang . Extension of the Linear Self-Dual Constraint Theory and Its Quantization. Chinese Physics C, 1993, 17(7): 626-630.
[11]	MIAO Yan-Gang . Path Integral Light-Cone Quantization of a Gauge Theory of Self-Dual Fields. Chinese Physics C, 1992, 16(7): 596-599.
[12]	LI Fu-Bin . Solutions in Riemannian Space-Time of Arbitrary Dimension. Chinese Physics C, 1992, 16(7): 670-672.
[13]	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.
[14]	ZHU Dong-Pei . Eigenmatrices of Dual Transformation and Its Application. Chinese Physics C, 1991, 15(1): 38-41.
[15]	YAN Jun , HU Shi-Ke . The World Sheet Soliton and free energy on High Genus Riemann Surface. Chinese Physics C, 1991, 15(5): 414-419.
[16]	HAO San-Ru , LI Wei . INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL. Chinese Physics C, 1989, 13(4): 320-327.
[17]	LIAO Ji-Zhi . APPLICATIONS OF s.d.g IBM TO EVEN TITANIUM MUCLEI. Chinese Physics C, 1986, 10(4): 486-489.
[18]	LI Zeng-Hai , MAO Nai-Feng , LIU Lan-Fen , SUN Qin-Ren . SPATIAL DISTRIBUTION OF MAGNETIC FIELD EXPRESSED BY THE FIELD ON MERIDIANAL PLANE. Chinese Physics C, 1986, 10(6): 730-737.
[19]	Wu Xi-zhen , Li Su-mei . A STUDY ON THE HEAVY NUCLEAR POTENTIAL ENERGY SURFACE (LIQUID MODEL PART). Chinese Physics C, 1980, 4(3): 405-408.
[20]	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.

Access

Get Citation

YAN Jun and HU Shi-Ke. The Modular Duality of Specific Heat on Genus g Riemann Surface[J]. Chinese Physics C, 1993, 17(6): 534-537.

YAN Jun and HU Shi-Ke. The Modular Duality of Specific Heat on Genus g Riemann Surface[J]. Chinese Physics C, 1993, 17(6): 534-537. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2372)
PDF Downloads(469)
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

The Modular Duality of Specific Heat on Genus g Riemann Surface

YAN Jun ^,
HU Shi-Ke

Corresponding author: YAN Jun,

Department of Physics,Sichuan University,Chengdu 610064

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-06-05

Abstract: The free energy on genus g Riemann surface is derived by introducing two-dimensional scalar field and using Vafa's operator approach.The modular duality relation of specific heat is also obtained.