Fermionic construction in the supersymmetric coset model

被引:0
|
作者
Ahn, Changhyun [1 ]
Hong, Jaesung [1 ]
Kim, Man Hea [2 ]
机构
[1] Kyungpook Natl Univ, Dept Phys, Daegu 41566, South Korea
[2] Asia Pacific Ctr Theoret Phys, Pohang 37673, South Korea
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2022年 / 37卷 / 04期
基金
新加坡国家研究基金会;
关键词
Coset model; extended conformal symmetry; free fermions; SUPERCONFORMAL ALGEBRAS; MATHEMATICA(TM) PACKAGE; REPRESENTATIONS;
D O I
10.1142/S0217751X22500075
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
It is known previously that the operator product expansion (OPE) between the first N = 3 multiplet and itself contains the second N = 3 multiplet in the supersymmetric coset model. In this paper, by using their realizations in terms of various fermions, we compute the four kinds of OPEs between the first and the second N = 3 multiplets for fixed N andM, where the group of the coset contains SU(N+M). By supersymmetrizing the above OPEs in N = 3 superspace and using the various Jacobi identities between the currents, we determine the N = 3 supersymmetric OPE between the first and the second N = 3 multiplets completely. The right-hand side of this OPE contains the various N = 3 multiplets: the SO(3) singlet N = 3 multiplets of superspin- 3 2; 2; 3; 4 and the SO(3) triplet N = 3 multiplets of superspin-5/2; 3; 7/2. The N = 2 superspace description and the decoupling of the spin-1/2 current of the N = 3 superconformal algebra are also described.
引用
收藏
页数:16
相关论文
共 50 条
  • [21] D-branes and matrix factorisations in supersymmetric coset models
    Behr, Nicolas
    Fredenhagen, Stefan
    JOURNAL OF HIGH ENERGY PHYSICS, 2010, (11):
  • [22] Coset approach to the N=2 supersymmetric matrix GNLS hierarchies
    Bonora, L
    Krivonos, S
    Sorin, A
    PHYSICS LETTERS A, 1998, 240 (4-5) : 201 - 212
  • [23] D-branes and matrix factorisations in supersymmetric coset models
    Nicolas Behr
    Stefan Fredenhagen
    Journal of High Energy Physics, 2010
  • [24] A supersymmetric Lagrangian for fermionic fields with mass dimension one
    Wunderle, K. E.
    Dick, R.
    CANADIAN JOURNAL OF PHYSICS, 2012, 90 (12) : 1185 - 1199
  • [25] The Schwinger-Keldysh coset construction
    Akyuz, Can Onur
    Goon, Garrett
    Penco, Riccardo
    JOURNAL OF HIGH ENERGY PHYSICS, 2024, (06):
  • [26] COSET CONSTRUCTION FOR EXTENDED VIRASORO ALGEBRAS
    BAIS, FA
    BOUWKNEGT, P
    SURRIDGE, M
    SCHOUTENS, K
    NUCLEAR PHYSICS B, 1988, 304 (02) : 371 - 391
  • [27] Coset space construction for the conformal group
    Kharuk, I.
    PHYSICAL REVIEW D, 2018, 98 (02)
  • [28] The coset construction for particles of arbitrary spin
    Michael J. Landry
    Guanhao Sun
    Journal of High Energy Physics, 2021
  • [29] More fermionic supersymmetric Wilson loops in four dimensions
    Ouyang, Hao
    Wu, Jun-Bao
    PHYSICS LETTERS B, 2024, 853
  • [30] The coset construction for particles of arbitrary spin
    Landry, Michael J.
    Sun, Guanhao
    JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (05)