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《中国物理C》（英文）编辑部
2024年10月30日
Chinese Physics C> 2016, Vol. 40> Issue(8) : 083101 DOI: 10.1088/1674-1137/40/8/083101

Exact results for Wilson loops in orbifold ABJM theory

  • 1.

     Theoretical Physics Division, Institute of High Energy Physics, Chinese Academy of Sciences,19B Yuquan Rd, Beijing 100049, China

  • 2.

     Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences,19B Yuquan Rd, Beijing 100049, China

  • 3.

     Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, China

  • We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d=3 N=4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The partition function of the N=4 orbifold ABJM theory has been computed previously in the literature. In this paper, we re-derive it using a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and of circular 1/2 BPS Wilson loops in arbitrary representations. We use both the saddle point approach and Fermi gas approach. The results for Wilson loops are in accord with the available gravity results.
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    [1] J. M. Maldacena, Int. J. Theor. Phys., 38: 1113-1133 (1999); Adv. Theor. Math. Phys. 2: 231 (1998)
    [2] S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B, 428: 105-114 (1998)
    [3] E. Witten, Adv. Theor. Math. Phys., 2: 253-291 (1998)
    [4] J. M. Maldacena, Phys. Rev. Lett., 80: 4859-4862 (1998)
    [5] S.-J. Rey and J.-T. Yee, Eur. Phys. J. C, 22: 379-394 (2001)
    [6] D. E. Berenstein, R. Corrado, W. Fischler et al, Phys. Rev. D, 59: 105023 (1999)
    [7] N. Drukker, D. J. Gross, and H. Ooguri, Phys. Rev. D, 60: 125006 (1999)
    [8] J. Erickson, G. Semenoff, and K. Zarembo, Nucl. Phys. B, 582: 155-175 (2000)
    [9] N. Drukker and D. J. Gross, J. Math. Phys., 42: 2896-2914 (2001)
    [10] V. Pestun, Commun. Math. Phys., 313: 71-129 (2012)
    [11] O. Aharony, O. Bergman, D. L. Jafferis et al, JHEP, 0810: 091 (2008)
    [12] N. Drukker, J. Plefka, and D. Young, JHEP, 0811: 019 (2008)
    [13] B. Chen and J.-B. Wu, Nucl. Phys. B, 825: 38-51 (2010)
    [14] S.-J. Rey, T. Suyama, and S. Yamaguchi, JHEP, 0903: 127 (2009)
    [15] N. Drukker and D. Trancanelli, JHEP, 1002: 058 (2010)
    [16] D. Gaiotto and X. Yin, JHEP, 0708: 056 (2007)
    [17] A. Kapustin, B. Willett, and I. Yaakov, JHEP, 1003: 089 (2010)
    [18] D. L. Jafferis, JHEP, 1205: 159 (2012)
    [19] N. Hama, K. Hosomichi, and S. Lee, JHEP, 1103: 127 (2011)
    [20] M. Marino and P. Putrov, JHEP, 1006: 011 (2010)
    [21] N. Drukker, M. Marino, and P. Putrov, Commun. Math. Phys., 306: 511-563 (2011)
    [22] C. P. Herzog, I. R. Klebanov, S. S. Pufu et al, Phys. Rev. D, 83: 046001 (2011)
    [23] M. Marino and P. Putrov, J. Stat. Mech., 1203: P03001 (2012)
    [24] A. Klemm, M. Marino, M. Schiereck et al, Z. Naturforsch. A, 68: 178-209 (2013)
    [25] Y. Hatsuda, M. Honda, S. Moriyama et al, JHEP, 1310: 168 (2013)
    [26] M. Benna, I. Klebanov, T. Klose et al, JHEP, 0809: 072 (2008)
    [27] Y. Imamura and K. Kimura, Prog. Theor. Phys., 120: 509-523 (2008)
    [28] S. Terashima and F. Yagi, JHEP, 0812: 041 (2008)
    [29] Y. Imamura and K. Kimura, JHEP, 0810: 040 (2008)
    [30] M. Honda and S. Moriyama, JHEP, 1408: 091 (2014)
    [31] H. Ouyang, J.-B. Wu, and J.-j. Zhang, JHEP, 1511: 213 (2015)
    [32] M. Cooke, N. Drukker, and D. Trancanelli, JHEP, 1510: 140 (2015)
    [33] Y. Hatsuda, S. Moriyama, and K. Okuyama, JHEP, 1301: 158 (2013)
    [34] M. Hanada, M. Honda, Y. Honma et al, JHEP, 05: 121 (2012)
    [35] Y. Hatsuda and K. Okuyama, JHEP, 1410: 158 (2014)
    [36] H. Fuji, S. Hirano, and S. Moriyama, JHEP, 1108: 001 (2011)
    [37] G. Olshanski, A. Regev, and A. Vershik, arXiv:math/0110077
    [38] M. Aganagic, R. Dijkgraaf, A. Klemm et al, Commun. Math. Phys., 261: 451-516 (2006)
    [39] H. Ouyang, J.-B. Wu, and J.-j. Zhang, Eur. Phys. J. C, 75: 606 (2015)
    [40] D. Gaiotto and E. Witten, JHEP, 1006: 097 (2010)
    [41] K. Hosomichi, K.-M. Lee, S. Lee et al, JHEP, 0807: 091 (2008)
    [42] F.-M. Chen and Y.-S. Wu, JHEP, 1302: 016 (2013)
    [43] F.-M. Chen and Y.-S. Wu, arXiv:1212.6650
    [44] D. L. Jafferis and A. Tomasiello, JHEP, 0810: 101 (2008)
    [45] S. Hohenegger and I. Kirsch, JHEP, 0904: 129 (2009)
    [46] D. Gaiotto and D. L. Jafferis, JHEP, 1211: 015 (2012)
    [47] Y. Hikida, W. Li, and T. Takayanagi, JHEP, 0907: 065 (2009)
    [48] S. Moriyama and T. Nosaka, JHEP, 1411: 164 (2014)
    [49] Y. Hatsuda, M. Honda, and K. Okuyama, JHEP, 09: 046 (2015)
    [50] M. S. Bianchi, G. Giribet, M. Leoni et al, Phys. Rev. D, 88: 026009 (2013)
    [51] M. S. Bianchi, G. Giribet, M. Leoni et al, JHEP, 1310: 085 (2013)
    [52] L. Griguolo, G. Martelloni, M. Poggi et al, JHEP, 1309: 157 (2013)
    [53] K.-M. Lee and S. Lee, JHEP, 1009: 004 (2010)

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Hao Ouyang, Jun-Bao Wu and Jia-Ju Zhang. Exact results for Wilson loops in orbifold ABJM theory[J]. Chinese Physics C, 2016, 40(8): 083101. doi: 10.1088/1674-1137/40/8/083101
Hao Ouyang, Jun-Bao Wu and Jia-Ju Zhang. Exact results for Wilson loops in orbifold ABJM theory[J]. Chinese Physics C, 2016, 40(8): 083101.  doi: 10.1088/1674-1137/40/8/083101 shu
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Received: 2016-01-18
Revised: 2016-03-04
Fund

    Supported by NSFC (11222549, 11575202), K. C. Wong Education Foundation and Youth Innovation Promotion Association of CAS (2011016)

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Exact results for Wilson loops in orbifold ABJM theory

    Corresponding author: Hao Ouyang,
    Corresponding author: Jun-Bao Wu,
    Corresponding author: Jia-Ju Zhang,
  • 1. Theoretical Physics Division, Institute of High Energy Physics, Chinese Academy of Sciences,19B Yuquan Rd, Beijing 100049, China
  • 2. Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences,19B Yuquan Rd, Beijing 100049, China
  • 3. Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, China
  • Received Date: 2016-01-18
  • Accepted Date: 2016-03-04
  • Available Online: 2016-08-05
Fund Project:  Supported by NSFC (11222549, 11575202), K. C. Wong Education Foundation and Youth Innovation Promotion Association of CAS (2011016)

Abstract: We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d=3 N=4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The partition function of the N=4 orbifold ABJM theory has been computed previously in the literature. In this paper, we re-derive it using a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and of circular 1/2 BPS Wilson loops in arbitrary representations. We use both the saddle point approach and Fermi gas approach. The results for Wilson loops are in accord with the available gravity results.

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