Covariant open string field theory on multiple <em>Dp</em>-branes

Taejin Lee

doi:10.1088/1674-1137/42/11/113105

Chinese Physics C> 2018, Vol. 42> Issue(11) : 113105 DOI: 10.1088/1674-1137/42/11/113105

Covariant open string field theory on multiple Dp-branes

Taejin Lee

1.
Department of Physics, Kangwon National University, Chuncheon 24341, Korea

Abstract
HTML
Reference
Related

PDF

Abstract：
We study covariant open bosonic string field theories on multiple Dp-branes by using the deformed cubic string field theory, which is equivalent to string field theory in the proper-time gauge. Constructing the Fock space representations of the three-string vertex and the four-string vertex on multiple Dp-branes, we obtain the field theoretical effective action in the zero-slope limit. On multiple D0-branes, the effective action reduces to the Banks-Fishler-Shenker-Susskind (BFSS) matrix model. We also discuss the relation between open string field theory on multiple D-instantons in the zero-slope limit and the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model. The covariant open string field theory on multiple Dp-branes could be useful to study the non-perturbative properties of quantum field theories in (p+1)-dimensions in the framework of the string theory. The non-zero-slope corrections may be evaluated systematically by using covariant string field theory.
- open string ,
- Dp-brane ,
- covariant string field theory ,
- Yang-Mills gauge theory ,
- matrix model

References

[1]	T. Banks, W. Fischler, S. H. Shenker, and L. Susskind, Phys. Rev. D, 55:5112(1997)
[2]	N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. B, 498:467(1997)
[3]	C. M. Hull and P. K. Townsend, Nucl. Phys. B, 438:109(1995)
[4]	E. Witten, Nucl. Phys. B, 443:85(1995)
[5]	M. J. Duff, J. T. Liu, and R. Minasian, Nucl. Phys. B, 452:261(1995)
[6]	T. Lee, Jour. Kor. Phys. Soc., 71:886(2017)
[7]	T. Lee, Phys. Lett. B, 768:248(2017)
[8]	T. Lee, Ann. Phys., 183:191(1988)
[9]	H. Feng and W. Siegel, Phys. Rev. D, 75:046006(2007)
[10]	V. A. Kostelecky, and S. Samuel, Nucl. Phys. B, 336:263(1990)
[11]	V. A. Kostelecky, and R. Potting, Phys. Lett. B, 381:89(1996)
[12]	A. Sen and B. Zwiebach, JHEP, 0003:002(2000)
[13]	N. Moeller and W. Taylor, Nucl. Phys. B, 583:105(2000)
[14]	E. Coletti, I. Sigalov, and W. Taylor, JHEP, 0309:050(2003)
[15]	A. A. Tseytlin, Nucl. Phys. B, 276:391(1986)
[16]	J.-C. Lee and Y. Yang, Review on High energy String Scattering Amplitudes and Symmetries of String Theory, (2015), arXiv:1510.03297
[17]	S.-H. Lai, J.-C. Lee, and Y. Yang, J. High Energy Phys., 11:062(2016)
[18]	Y.-t. Huang, O. Schlotterer, and C. Wen, J. High Energy Phys., 09:155(2016)
[19]	Y.-t. Huang, W. Siegel, and E. Y. Yuan, J. High Energy Phys., 09:101(2016)
[20]	S. H. Lai, J. C. Lee, Y. Yang, and T. Lee, Phys. Lett. B, 776:150(2018)
[21]	L. Hua and M. Kaku, Phys. Rev. D, 41:3748(1990)
[22]	S. Mandelstam, Nucl. Phys. B, 64:205(1973)
[23]	S. Mandelstam, Nucl. Phys. B, 69:77(1974)
[24]	M. Kaku and K. Kikkawa, Phys. Rev. D, 10:1110(1974)
[25]	M. Kaku and K. Kikkawa, Phys. Rev. D, 10:1823(1974)
[26]	E. Cremmer and J. L. Gervais, Nucl. Phys. B, 76:209(1974)
[27]	E. Cremmer and J. L. Gervais, Nucl. Phys. B, 90:410(1975)
[28]	M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory Volume 1 and 2, (Cambridge University Press, 1987)
[29]	E. Witten, Nucl. Phys. B, 268:253(1986)
[30]	E. Witten, Phys. Rev. D, 46:5467(1992)
[31]	J. Bordes, H. M. Chan, L. Nellen and S. T. Tsou, Nucl. Phys. B, 351:441(1991)
[32]	A. Abdurrahman and J. Bordes, Phys. Rev. D, 58:086003(1998)
[33]	L. Rastelli, A. Sen, and B. Zwiebach, JHEP, 0111:035(2001)
[34]	D. J. Gross and W. Taylor, JHEP, 0108:009(2001)
[35]	T. Kawano and K. Okuyama, JHEP, 0106:061(2001)
[36]	J. R. David, JHEP, 10:017(2000)
[37]	H. Hata, K. Itoh, T. Kugo, H. Kunitomo, and K. Ogawa, Phys. Lett. B, 172:186(1986)
[38]	L. Rastelli and B. Zwiebach, JHEP, 0109:038(2001)
[39]	Y. Okawa, Prog. Theor. Phys., 128:1001(2012)
[40]	T. Lee, EPJ Web of Conferences, 168:07004(2018)
[41]	T. Lee, Four-Graviton Scattering and String Path Integral in the Proper-time gauge, arXiv:1806.02702[hep-th]
[42]	T. Lee, Phys. Lett. B, 782:589(2018)

[1]	B. Sazdovi? . From geometry to non-geometry via T-duality. Chinese Physics C, 2018, 42(8): 083106. doi: 10.1088/1674-1137/42/8/083106
[2]	Hao Ouyang , Jun-Bao Wu , Jia-Ju Zhang . Exact results for Wilson loops in orbifold ABJM theory. Chinese Physics C, 2016, 40(8): 083101. doi: 10.1088/1674-1137/40/8/083101
[3]	LIU Lang , ZHAO Peng-Wei . α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach. Chinese Physics C, 2012, 36(9): 818-822. doi: 10.1088/1674-1137/36/9/004
[4]	HSU Jong-Ping . A model of uni ed quantum chromodynamics and Yang-Mills gravity. Chinese Physics C, 2012, 36(5): 403-409. doi: 10.1088/1674-1137/36/5/005
[5]	WANG Dian-Fu , SUN Xiao-Yu , CHANG Xiao-Jing . Dynamical CP violation of the generalized Yang-Mills model. Chinese Physics C, 2011, 35(2): 130-134. doi: 10.1088/1674-1137/35/2/004
[6]	XU Xiao-Mei , FU Yong-Ping , LI Yun-De . η string formation in QCD chiral phase transition. Chinese Physics C, 2010, 34(4): 444-447. doi: 10.1088/1674-1137/34/4/004
[7]	Z. Wazir . Centrality of the collision and random matrix theory. Chinese Physics C, 2010, 34(10): 1593-1597. doi: 10.1088/1674-1137/34/10/008
[8]	HUANG Yu-Fei , LI Guang-Liang . Transfer matrix for the open chain from giant gravitons. Chinese Physics C, 2010, 34(7): 949-952. doi: 10.1088/1674-1137/34/7/004
[9]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Model. Chinese Physics C, 1993, 17(S4): 361-369.
[10]	Zhao Liu . Supersymmetrization of Self-Dual Yang-Mills Theory. Chinese Physics C, 1993, 17(S4): 347-353.
[11]	LI Fu-Bin . Description of the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equations System and Further Discussions. Chinese Physics C, 1992, 16(5): 408-413.
[12]	Li Fubin . A Study on the Complete Integrability of the SU(2) and SU(3) Self-Dual Yang-Mills Source-Free Field Equation System. Chinese Physics C, 1992, 16(S2): 155-161.
[13]	Zheng Bo . Exact Ground State and String Tension in Massive Lattice Schwinger Model. Chinese Physics C, 1989, 13(S4): 379-384.
[14]	Zheng Bo . Exact Calculation of String Tension in Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 253-258.
[15]	Gong Shangqing , Qu Lihu , Yu Shonmian . A Model of Four Dimensional Heterotic String. Chinese Physics C, 1989, 13(S2): 185-192.
[16]	Li Zhibing , Zheng Weihong , Guo Shuohong . The String Tensions of (2+1)-dimensional SU(2) Gauge Theory. Chinese Physics C, 1989, 13(S3): 245-248.
[17]	Xu Kaiwen . Covariant and Quantization of Spinning String in M_d × G Space Time. Chinese Physics C, 1988, 12(S2): 143-152.
[18]	WU YONG-SHI . THE HOLONOMY FUNCTIONAL FORMULATION OF YANG-MILLS FIELD EQUATIONS. Chinese Physics C, 1979, 3(3): 382-386.
[19]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.
[20]	WU YONG-SHI , LEE HWA-CHUNG , KUO SHUO-HUNG , HSEEN TING-CHANG . ON A PSEUDO-PARTICLE SOLUTION OF THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(4): 371-373.

Access

Get Citation

Taejin Lee. Covariant open string field theory on multiple Dp-branes[J]. Chinese Physics C, 2018, 42(11): 113105. doi: 10.1088/1674-1137/42/11/113105

Taejin Lee. Covariant open string field theory on multiple Dp-branes[J]. Chinese Physics C, 2018, 42(11): 113105. doi: 10.1088/1674-1137/42/11/113105 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-08-07

Fund

Supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1A02017805)

Article Metric

Article Views(1566)
PDF Downloads(20)
Cited by(0)

Policy on re-use

To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.

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

Covariant open string field theory on multiple Dp-branes

1. Department of Physics, Kangwon National University, Chuncheon 24341, Korea

Received Date: 2018-08-07

Available Online: 2018-11-05

Fund Project: Supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1A02017805)

Abstract: We study covariant open bosonic string field theories on multiple Dp-branes by using the deformed cubic string field theory, which is equivalent to string field theory in the proper-time gauge. Constructing the Fock space representations of the three-string vertex and the four-string vertex on multiple Dp-branes, we obtain the field theoretical effective action in the zero-slope limit. On multiple D0-branes, the effective action reduces to the Banks-Fishler-Shenker-Susskind (BFSS) matrix model. We also discuss the relation between open string field theory on multiple D-instantons in the zero-slope limit and the Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model. The covariant open string field theory on multiple Dp-branes could be useful to study the non-perturbative properties of quantum field theories in (p+1)-dimensions in the framework of the string theory. The non-zero-slope corrections may be evaluated systematically by using covariant string field theory.

HTML

Reference (42)

Covariant open string field theory on multiple Dp-branes

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Covariant open string field theory on multiple Dp-branes

HTML

目录